http://ric.zntu.edu.ua/issue/feedRadio Electronics, Computer Science, Control2017-11-30T11:06:30+02:00Sergiy O. Subbotinsubbotin.csit@gmail.comOpen Journal Systems<p dir="ltr" align="justify"><span><strong>Description:</strong> The scientific journal «Radio Electronics, Computer Science, Control» is an international academic peer-reviewed publication. It publishes scientific articles (works that extensively cover a specific topic, idea, question and contain elements of their analysis) and <span lang="EN">r</span><span lang="RU">eviews (works containing analysis and reasoned assessment </span><span lang="EN">of </span><span lang="RU">the author's original or </span><span lang="EN">published </span><span lang="RU">book)</span> that receive an objective review of leading specialists that evaluate substantially without regard to race, sex, religion, ethnic origin, nationality, or political philosophy of the author(s).<span id="result_box2" lang="en"><span class="hps"><br /> </span></span><strong>Founder and </strong></span><strong><span>Publisher</span></strong><span><strong>:</strong> <a href="http://zntu.edu.ua/zaporozhye-national-technical-university">Zaporizhzhya National Technical University</a><span lang="uk">.</span> </span><strong><span>Country:</span></strong><span> Ukraine<span lang="uk">.</span><span id="result_box1" lang="en"><span class="hps"><br /> </span></span><strong>ISSN</strong> 1607-3274 (print), ISSN 2313-688X (on-line).<span id="result_box3" lang="en"><span class="hps"><br /> </span></span><strong>Certificate of State Registration:</strong> КВ №6904</span><span lang="uk">. </span><span>The journal was registered by the State Committee for information policy, television and radio broadcasting of Ukraine in 29.01.2003.<span id="result_box4" lang="en"><span class="hps"><br /> </span></span>In accordance with the decision of the <span lang="en-us">P</span>residium of All-Ukrainian Certification Commission (<span lang="uk">№ </span>1-05/4 dated 05.26.2010<span lang="uk">) </span>the journal <span lang="en-us">"Radio Electronics, Computer Science, Control" was included </span>in the <strong>List of the <span lang="en-us">scientific specialized periodicals of </span>Ukrain<span lang="en-us">e</span></strong> where <span lang="en-us">the results of dissertations for PhD and D. Sc. </span>in <span lang="en-us">Technical Sciences</span>, Physics and Mathematics (with specialization in Radiophysics) may be published.</span><span><span id="result_box25" lang="en"><span class="hps"><br /> </span></span><span id="result_box26" lang="en"><span class="hps">By the Order of the Ministry of Education and Science of Ukraine from 12.21.2015 № 1328 "On approval of the decision of the Certifying Collegium of the Ministry on the activities of the specialized scientific councils dated 15 December 2015" journal is included in the <strong>List of scientific specialized periodicals of Ukraine</strong>, where the results of dissertations for Doctor of Science and Doctor of Philosophy in Mathematics and Technical Sciences may be published.</span></span><span id="result_box27" lang="en"><span class="hps"><br /> </span></span></span><strong> <span>Year of Foundation:</span></strong><span> 1999. </span><strong><span>Frequency :</span></strong><span> 4 times per year (before 2015 - 2 times per year).<span id="result_box6" lang="en"><span class="hps"><br /> </span></span></span><strong> <span>Volume</span></strong><span><strong>:</strong> up to 20 conventional printed sheets. </span><strong><span>Format:</span></strong><span> 60x84/8. <span id="result_box7" lang="en"><span class="hps"><br /> </span></span></span><strong> <span>Languages:</span></strong><span> English, Russian, Ukrainian.<span id="result_box8" lang="en"><span class="hps"><br /> </span></span></span><strong> <span>Fields of Science :</span></strong><span> Physics and Mathematics, Technical Sciences.<span id="result_box9" lang="en"><span class="hps"><br /> </span></span></span><strong> <span>Aim: </span></strong><span>serve to the academic community principally at publishing topical articles resulting from original research whether theoretical or applied in various aspects of academic endeavour<span lang="ru">.</span></span><span><strong><br /> </strong></span><strong> <span>Focus:</span></strong><span> fresh formulations of problems and new methods of investigation, help for professionals, graduates, engineers, academics and researchers disseminate information on state-of-the-art techniques according to the journal scope.<br /> <span> <strong>Scope:</strong></span> radio physics, micro-, nano- and radio electronics, computer hardware and software, computer networks and telecommunications, algorithm and programming theory, optimization and operations research, machine-machine and man-machine interfacing, mathematical modeling and computer simulation, data and signal processing, control in technical systems, artificial intelligence, including knowledge-based and expert systems, data mining, pattern recognition, artificial neural and neuro-fuzzy networks, fuzzy logics, swarm intelligence and multiagent systems, hybrid systems.</span><span><strong><br /> </strong></span> <span> <strong><span> Journal sections:</span></strong><span><span id="result_box10" lang="en"><span class="hps"><br /> </span></span></span></span> <span> - radiophysics;<span id="result_box11" lang="en"><span class="hps"><br /> </span></span>- radio electronics and telecommunications;<span id="result_box12" lang="en"><span class="hps"><br /> </span></span>- mathematical and computer modelling;<span id="result_box13" lang="en"><span class="hps"><br /> </span></span>- neuroinformatics and intelligent systems;<span id="result_box14" lang="en"><span class="hps"><br /> </span></span>- progressive information technologies;<span id="result_box15" lang="en"><span class="hps"><br /> </span></span>- theory and methods of automatic control;<span id="result_box16" lang="en"><span class="hps"><br /> </span></span>- control in technical systems.</span><span><span><span id="result_box17" lang="en"><span class="hps"><br /> </span></span><strong>Abstracting and Indexing:</strong> <strong>The journal is indexed in <a href="http://science.thomsonreuters.com/cgi-bin/jrnlst/jlresults.cgi?PC=MASTER&Full=Radio%20Electronics%20Computer%20Science%20Control" target="_blank">Thomson Reuters Web of Science</a></strong><span> (WoS) scientometric database</span><span>. </span> </span></span>The articles, published in the journal<span lang="en-us">,</span> are abstracted in leading international <span lang="en-us">and </span>national <strong>abstract<span lang="en-us">ig</span> journals</strong> and <strong>scientometric databases</strong>, and also are placed <span lang="en-us">to</span> the <strong>digital archives</strong> and <strong>libraries</strong> with free on-line<span lang="en-us"> access: Academic Keys, ACNP, ADAT, Akademik Dizin, ARDI, BASE, CiteFactor, CNKI, COPAC, CrossRref, DIIF, DOAJ, DOI, DRJI, EBSCO, eLibrary.ru, ETOC, Exlibris, EZB, GBV/GVK, GENERAL IMPACT FACTOR, GetInfo, GIF, Google Scholar, Impactfactor.pl, Index Copernicus, INSPEC, ISRA JIF, ISSN, JIFACTOR, Jour Informatics, Journalindex.net, JournalTOCs, Konferencii.ru, MIAR, OAIster, OAJI, Open Science Directory, Openaccessarticles, Openaire, Perechen-izdaniy.ru, PUBGET, Research Bible, ROAD, Scholar Steer, Sciary, SHERPA/RoMEO, SIS, SJIF, SJournals, SSM, UIF, WorldCat, WorldWideScience, ZDB, VINITI, Djerelo, UINC, Ukraininca Naukova, Ulrich’s Periodical Directory, Universia, URAN, V. I. Vernadsky National Library of Ukraine, and others which are listed and described <a href="/about/editorialPolicies#custom-0">here</a>.</span></p><p dir="ltr" align="justify"><span><span><strong>Editorial board: </strong><em>Editor in chief</em> - <span><span>S. A. Subbotin</span></span> , D. Sc., Professor; <em>Deputy Editor in Chief</em> - D. M. Piza, D. Sc., Professor. The <em>members</em> of Editorial Board are listed <a href="/about/editorialTeam">here</a>.<span id="result_box19" lang="en"><span class="hps"><br /> </span></span><strong>Publishing and processing fee:</strong> Articles are published and peer-reviewed <strong>free of charge</strong>.<span id="result_box20" lang="en"><span class="hps"><br /> </span></span></span><strong> <span>Authors Copyright: </span></strong><span>The journal allows the authors to hold the copyright without restrictions and to retain publishing rights without restrictions. The journal allows readers to read, download, copy, distribute, print, search, or link to the full texts of its articles. The journal allows to reuse and remixing of its content, in accordance with a Creative Commons license СС-BY.<span id="result_box21" lang="en"><span class="hps"><br /> </span></span></span><strong> <span>Authors Responsibility:</span></strong><span> Submitting the article to the journal, authors hereby assume full responsibility for the copyright compliance of other individuals and organizations, the accuracy of citations, data and illustrations, nondisclosure of state and industrial secrets, express their consent to transfer for free to the publisher the right to publish, to translate into foreign languages, to store and to distribute the article materials in any form. Authors who have scientific degrees, submitting the article in the journal, thereby giving their consent to free act as reviewers of other authors articles at the request of the journal editor within the established deadlines. The articles submited to the journal must be original, new and interesting to the reader audience of the journal, have reasonable motivation and aim, be previously unpublished and not be considered for publication in other journals. Articles should not contain trivial and obvious results, make unwarranted conclusions and repeat conclusions of already published studies.<span id="result_box22" lang="en"><span class="hps"><br /> </span></span></span><strong> <span>Readership: </span></strong><span>scientists, university faculties, postgraduate and graduate students, practical specialists.<span id="result_box23" lang="en"><span class="hps"><br /> </span></span></span><strong> <span>Publicity and Accessing Method :</span></strong><span> <strong>Open Access</strong> on-line for full-text publications<span id="result_box24" lang="en"><span class="hps">.</span></span></span></span></p><p dir="ltr" align="justify"><span><strong><span style="font-size: small;"> <img src="http://journals.uran.ua/public/site/images/grechko/1OA1.png" alt="" /> <img src="http://i.creativecommons.org/l/by-sa/4.0/88x31.png" alt="" /></span></strong></span></p>http://ric.zntu.edu.ua/article/view/114506CLATHRATE SEMICONDUCTOR MULTIFERROICS, SYNTHESIZED IN SYSTEM GаSE-NаNO2-FеSO4 AND INFLUENCE OF COINTERCALATION2017-11-28T12:18:00+02:00I. I. Grygorchakrvv@zntu.edu.uaF. O. Ivashchyshynrvv@zntu.edu.uaA. K. Borysiukrvv@zntu.edu.uaR. Ya. Shvetsrvv@zntu.edu.uaYu. O. Kulykrvv@zntu.edu.ua<p>Context. The task for electric energy accumulation in non-electrochemical way but by means of electrons and spins was developed on the basis of quantum accumulators and spin capacitors. Synthesized clathrates of 4 folds expanded GaSe matrix with guest component sodium nitrite NaNO2, Iron II Sulfate FeSO4 and combination of them NaNO2⊕FeSO4 are the object of research.</p><p>Objective. Synthesis of heterostructured nanocomposite materials with large developed interface, anisotropic electric conductance and high values of dielectric permittivity in combination with loss tangent less than 1.</p><p>Method. The intercalation approach to heterostructured nanocomposite materials formation was proposed. It allows creating developed atomic-molecular complexes of host-guest type and hierarchical structures of subhost-host-guest type. The X-ray diffractometry data show the structural changes in macro composite NaNO2⊕FeSO4 at the transition to the guest nanoscale geometry. With the help of frequency dependence of specific complex impedance the main features of current flow and charge accumulation processes in synthesized nanohybrids and effect of cointercalation were determined. Impedance photo- and magneto- responses show a gigantic photodielectric, magnetoresistive and magnetocapacitive effects at room temperature. These effects open up a new possibilities of theirs application as highly sensitive sensors of constant magnetic and light wave field.</p><p>Results. Clathrates GaSe<NaNO2>, GaSe<FeSO4> та GaSe<NaNO2⊕FeSO4> were synthesized. Electric charge accumulation at the interface was determined. The effects of negative photoconductivity and giant magnetoresistance, drastic increase in photo-EMF, giant photodielectric and magnetocapacitive effects were registered at room temperature.</p><p>Conclusions. Cointercalation of NaNO2⊕FeSO4 modifies the energetic specter of GaSe more than individual intercalation. Synthesized clathrates are promising materials for novel approaches in thechnology of highly sensible sensors of capacitive type for magnetic and light wave field at room temperatures as well as for quantum accumulators and quantum capacitors as a new alternative of chemical power sources</p>Copyright (c) 2017 I. I. Grygorchak, F. O. Ivashchyshyn, A. K. Borysiuk, R. Ya. Shvets, Yu. O. Kulykhttp://ric.zntu.edu.ua/article/view/114688ANALYSIS OF EFFICIENCY OF ADAPTIVE POLARIZING FILTER UNDER THE SIMULTANEOUS ACTION OF ACTIVE AND PASSIVE NOISE2017-11-28T12:18:00+02:00D. M. Pizarvv@zntu.edu.uaD. S. Semenovrvv@zntu.edu.uaG. V. Morozrvv@zntu.edu.ua<p>Context. The spatially-distributed nature of the passive component destroys the spatial correlation of point sources of active interference under the influence of combined interference. This leads to a significant degradation in the suppression coefficient of the active component of the combined interference. Therefore, it is relevant to research the influence of the passive component of the combined interference on the process of compensation of active noise interference, as well as the formation of a classified training sample generated with only active interference, to adapt the weighting coefficients of the polarization filter.</p><p>Objective is research of the frequency method that used for the formation of a classification training sample for the adaptation of the polarization filter’s weighting coefficients under conditions of simultaneous acting of active noise and passive interference along the main beam of the antenna pattern.</p><p>Method. The proposed method uses the frequency differences in the width of the spectrum of active and passive interference for training sample forming.</p><p>Results. The simulation model of the adaptive polarization filter was developed. It was found with analyzing of the formation of weight coefficients that the proposed method can provide effective compensation of the active component of the combined interference. The conducted experimental researches of the polarization filter in the field conditions confirmed the high efficiency of suppression of active noise interference that acts along the main beam of the antenna pattern. Scientific novelty is consist in the development of a new method and an imitation model for the formation of a classification training sample for the adaptation of the weight coefficients of a polarization filter.<br />Practical significance was determined by the conducted experimental researches in the field conditions with quantitative estimates of the effectiveness of the proposed method. It was shown that using of the frequency differences in the structure of the active and passive components of the combined noise, it is possible to achieve of the cancellation factor equal 25 decibels and more for the active noise that actin the direction of the main beam of antenna pattern.<br /><br /><br /></p>Copyright (c) 2017 D. M. Piza, D. S. Semenov, G. V. Morozhttp://ric.zntu.edu.ua/article/view/115009RESEARCH OF FAST-ACTION OF THE DIRECT DIGITAL METHOD OF SPECTRAL CORRELATIVE-INTERFEROMETRIC DIRECTION FINDING WITH DOUBLE CORRELATION PROCESSING2017-11-28T12:18:00+02:00V. V. Tsyporenkorvv@zntu.edu.uaV. G. Tsyporenkorvv@zntu.edu.uaM. F. Khomenkorvv@zntu.edu.ua<p>Contex. At present, the direction finding of radio electronic means should be carried out under conditions of a complex electromagnetic situation, a large a priori uncertainty regarding the parameters of radio emissions, and also in conditions of a real-time implementation. A promising direction in the direction finding implementation for these conditions is the use of broadband digital correlation-interferometric radio direction finders.</p><p>Objective. The aim of the article is to estimate the total time costs, speed and relative time efficiency of the direct digital method of spectral correlative-interferometric direction finding with double correlation processing.</p><p>Method. Analytic studies of total time costs of correlation-interferometric direction finding algorithms and experimental studies of relative time efficiency are performed in the work.</p><p>Results. Analytical estimation of total time costs, speed and relative time efficiency of the direct digital method of spectral correlativeinterferometric direction finding with double correlation processing is performed. With minimal hardware costs, that is, using a single-channel data processing system, it is determined that the investigated direct direction finding method provides direction finding of radio emissions entering the frequency band of simultaneous analysis with a possible width of up to 500 MHz in real time. The investigated direction finding method has relative time efficiency in 100 times higher in comparison with the known search digital spectral correlation-interferometric method of direction finding.</p><p>Conclusions. Comparative analysis has shown that the investigated direction finding method has a high relative time efficiency exceeding 100 times in comparison with the known search digital spectral correlation-interferometric method of direction finding.</p>Copyright (c) 2017 V. V. Tsyporenko, V. G. Tsyporenko, M. F. Khomenkohttp://ric.zntu.edu.ua/article/view/115084DECISION MAKING SUPPORT SYSTEM WITH ADAPTIVE UNITS OF RESTORING AND FORECASTING OF SOLAR RADIO FLUXES2017-11-28T12:18:00+02:00O. V. Bratusrvv@zntu.edu.ua<p>Context. Creation of new methods for solar data restoring and forecasting, new decision making support systems for processing of solar radio fluxes at a wavelength of 10.7 cm are topical problems, because it will give an opportunity to perform preliminary data processing and further forecasting correctly and automated.</p><p>Objective. To develop moving two-sided exponential smoothing method for restoring of missed values and forecasting of time series; to create integral criterion of model adequacy and the proximity criterion for using for restoring of the true regularities of time series evolution; to develop decision making support system for analysis and forecasting of solar radio fluxes at a wavelength of 10.7 cm with using of developed methods; to apply developed methods for real data and to compare with traditional methods.</p><p>Method. For achieving of formulated goal the following methods were used: developed moving two-sided exponential smoothing method; exponential smoothing method; 13-month running mean method; exponential approach, which was suggested by Hathaway, Wilson and Reichmann.</p><p>Results. Moving two-sided exponential smoothing method for restoring of missed values of time series and for forecasting of time series was developed. The integral criterion of model adequacy and the proximity criterion were created. Decision making support system for analysis and forecasting of solar data was developed. Practical application of developed methods for real data and comparison with traditional methods were performed.</p><p>Conclusions. Developed moving two-sided exponential smoothing method is shown superiority in comparison with all traditional methods in the restoring of missed values, true regularities and forecasting of solar radio fluxes.</p>Copyright (c) 2017 O. V. Bratushttp://ric.zntu.edu.ua/article/view/115121METHOD FOR NUMERICAL DIFFERENTIATION OF NOISY DATA WITH OUTLIERS2017-11-28T12:18:00+02:00S. M. Vovkrvv@zntu.edu.ua<p>Context. Using of conventional methods of numerical differentiation to the noisy data with outliers leads to significant errors. The objectof this study is the process of numerical differentiation of such data.</p><p>Objective. The goal of this work is the development of a method of numerical differentiation of the noisy data with outliers to obtain a smooth approximation of the first derivative of original data as well as a smooth approximation of the original data themselves.</p><p>Method. The proposed method of numerical differentiation is based on solving the problem of minimizing the smoothing functional, which is built on the criteria of a minimum of extent of the solution residual and of an energy constraint of the first derivative of solution. The minimum-extent criterion defines the main part of functional and ensures its stable behavior with respect to the additive noise and outliers. The energy constraint defines the stabilizing part of the functional and provides a smooth solution of the problem. The contribution of these parts is controlled by a regularization parameter. Since the main part of smoothing functional is not convex, then the minimization problem is the non-convex nonlinear programming problem. For the numerical solution of this problem the conjugate gradient method is used. In this method the step size along the descent direction is defined on the set of test steps. These steps minimize the individual components of the main and stabilizing parts of the smoothing functional that allows to move from the one local minimum of the functional to another deeper local minimum.</p><p>Results. Simulation of the problem of numerical differentiation of noisy data with outliers and processing of the experimental data, which are photoluminescence spectra with narrow line components in their compositions, confirmed the performance of the proposed method.</p><p>Conclusions. The proposed method can be used for numerical differentiation of noisy data with outliers. It provides a smooth approximation of the first derivative of the original data, as well as a smooth approximation of the original data themselves. This method can be generalized to the case of non-smooth solutions by constructing a stabilizing part of the functional based on the criterion of minimum total variation.</p>Copyright (c) 2017 S. M. Vovkhttp://ric.zntu.edu.ua/article/view/115160THE CONSTRUCTION OF THE MODIFIED PERFECT FORM OF RESIDUAL CLASSES SYSTEM USING FACTORIZATION2017-11-28T12:18:00+02:00M. M. Kasianchukrvv@zntu.edu.ua<p>Context. The urgent task of finding modules of the system of residue classes, which characterize by increasing the speed of transition of numbers from the system of residue classes into decimal number system.</p><p>Objective is to develop a method of constructing modified fourth-module perfect form of the system of residue classes without procedure of finding of the absolute value for inverse element under number transition from residue number system to decimal number system.</p><p>Method. The method of determining a set of modules if modified perfect form of system’s of residue number was proposed which was based on factorization of numbers product. Usage of this form significantly reduced the computational complexity when arithmetic operations were performing on multi-digital numbers and transferring of numbers from the system of residual classes in the decimal system of calculation by eliminating of the searching procedure of the inverse element in absolute value and multiplying by the basic numbers. The conditions of discovering of any absolute number of modified perfect form of system of residual classes and two of them are unknown. An example of the proposed method for forth-module with modified perfect form system, which received all possible sets of modules with given smallest module. Tabular amounts are presented and analyzed according to the received image of modules.</p><p>Results. Utilization of the proposed method of modules selection which has constructed modified perfect form allows to increase the performance of computing systems operating in the system residual classes.</p><p>Conclusions. It’s the first time of discover of the method which allows to construct modified fourth-module perfect form of the system of residue classes based on factorization without complicated procedure of finding of the absolute value for inverse element. Present work helps to simplify the process of calculating digit number and transfer numbers from the system of residual classes into decimal system.</p>Copyright (c) 2017 M. M. Kasianchukhttp://ric.zntu.edu.ua/article/view/115256HYBRID REPRESENTATION OF SOLIDS USING IMPLICIT AND PARAMETRIC FUNCTIONS2017-11-28T12:18:00+02:00S. V. Choporovrvv@zntu.edu.ua<p>Context. The present article deals with the problem of representation of solids in computer-aided design. The object of the study is a process of representation of solids in computer-aided design.</p><p>Objective. The objective of the study is the development of a hybrid representation scheme which uses implicit functions, Roperations and parametric functions.</p><p>Method. In the article, a hybrid representation scheme has been suggested to model solids. An abstract notion “solid” denotes bounded and closed subsets of Euclidean space, which model physical bodies. A representation scheme is a syntactically and semantically correct relation between a set of formal models and a set of solids. It is supposed that boundary represented regions are defined by parametric functions. On the other hand, functionally represented regions are defined by implicit functions. The hybrid representation scheme is based on an idea of combining the boundary representation scheme with the functional representation scheme. The hybrid representation scheme uses a signed distance function to transform regions with parametric boundaries into implicitly defined regions. Adaptive discrete models are used to evaluate a signed distance from some point to a boundary of a region which boundaries are defined by parametric functions. A distance from a point to the closest discrete element approximates a distance from a point to a boundary of a region. The parity test has been used to define a sign of a distance.</p><p>Results. The developed hybrid representation scheme has been implemented in software and investigated for solving the problems of solid modeling.</p>Conclusions. Carried out numerical experiments have confirmed the proposed software operability. The prospects for further research may include the development of parallel methods for calculation of a signed distance functionCopyright (c) 2017 S. V. Choporovhttp://ric.zntu.edu.ua/article/view/115376МОDELLING OF EMERGENCY WITH THE EXPLOSION OF GAS-AIR MIXTURE CLOUD2017-11-28T12:18:00+02:00I. A. Chubrvv@zntu.edu.uaM. V. Novozhylvarvv@zntu.edu.uaV. V. Matuhnorvv@zntu.edu.ua<p>Context. Science-based ranking of potential danger levels characterizing technological units at gas-oil reprocessing enterprises needs to address safety issues at all stages of their life cycle. Actual Ukrainian normative and methodological framework is insufficient to meet the challenges of explosion at gas-oil reprocessing enterprises in current economic conditions.</p><p>Objective. Designing and analyzing mathematical model of tehnogenic emergency with the explosion of gas-air mixture clouds on block of gas-oil reprocessing technological enterprise as the constructive tool for quantify definition of explosive unit level.</p><p>Method. Structural and parametric identification of integral criterion characterizing the unit explosiveness as a whole taking into account the peculiarities of enterprise territory development, the explosion regime, characteristics of explosive materials.</p><p>Results.The problem of explosion hazard level estimation of separate technological equipment and whole technological block of a gas and oil refinery plant is solved in the work.</p>Conclusions. The proposed method is a contribution to further development of the methodology and constructive means to ensure the technologic safety, in particular the explosion one, for potentially hazardous industrial objects. Numerical results allow us to recommend the proposed method to be used in practice.Copyright (c) 2017 I. A. Chub, M. V. Novozhylva, V. V. Matuhnohttp://ric.zntu.edu.ua/article/view/115415RESEARCH OF EFFECTIVENESS OF STRUCTURAL IMAGE CLASSIFICATION METHODS USING CLUSTER DATA MODEL2017-11-28T12:18:00+02:00V. A. Gorokhovatskyrvv@zntu.edu.uaY. P. Putyatinrvv@zntu.edu.uaV. S. Stolyarovrvv@zntu.edu.ua<p>Сontext. Increasing of productivity and extension of the functionality of modern computer vision systems require more effective methods for visual information processing. Main goals of structural recognition are related with the improvement of information classification technology in the space of features in a form of image key point descriptors, as well as the necessity of recognition performance estimation for application datasets. Particular attention is related to the investigation of data structure for the set of descriptors that directly affects the functioning of the recognition system.</p><p>Objective. Investigation of cluster representation for the set of structural features of application dataset was performed as well as the evaluation of cluster model performance in methods of visual objects structural recognition to provide compact representation of data was proposed.</p><p>Method. Methods of recognition based on transformation of structural features space by clustering and usage of cluster dataset image features were proposed. First method uses the integral representation of etalon images descriptions, the second one is based on the value of statistical distribution vector in matrix space cluster model during building the association between structural element and class. Result of research is creation of recognition methods and data models during construction of relevance vectors and features of classes in the transformed feature space.</p><p>Results. Using cluster transformation of the space of structural features allows to reduce the amount of computational costs, and improves recognition performance preserving desired efficiency in a hundred of times. Comparison between SURF and ORB methods for the formation of structural features was performed, processing time by ORB has appeared to be 60 times less. On the other hand, the set of SURF descriptors closely reflects the shape of visual objects. Modeling and experimental investigations of proposed recognition method for application dataset was performed. Effectiveness of the method in terms of efficiency was confirmed, comparative estimations of recognition quality depending on the level of additive noise for the analyzed treatment options were obtained.</p><p>Conclusions. Paper proposed the systematization and obtaining of perspective properties of recognition systems in the space of structural features of images. Classification methods based on cluster descriptions provide a sufficient level of image discrimination and high noise immunity. Scientific novelty of the research consists of synthesis of a method of structural image recognition based on the use of cluster processing and the construction of classification decisions in space of etalon cluster. Conversion to the vector-cluster presentation allows to significantly increase the speed of recognition by processing simplification. Practical value of paper is the obtaining of application program models for the modifications of structural image recognition method with the confirmation of the effectiveness and noise immunity of the proposed approach in a specific image dataset.</p>Copyright (c) 2017 V. A. Gorokhovatsky, Y. P. Putyatin, V. S. Stolyarovhttp://ric.zntu.edu.ua/article/view/115479THE SYNTHESIS OF ROUTES OF UAVS’ SUB-SWARMS BASED ON HOPFIELD NEURAL NETWORK FOR INSPECTION OF TERRITORIES2017-11-28T12:18:00+02:00I. M. Zhuravskarvv@zntu.edu.uaM. P. Musiyenkorvv@zntu.edu.ua<p>Context. The urgent task the economy of the limited power, computing and technological resources of small unmanned aerial vehicles (UAVs) has been solved.</p><p>Objective is a creation of sub-swarms’ routes synthesis method with increasing the time of UAV flock viability.</p><p>Method. The method for model building of the UAVs’ sub-swarm is offered. It allows to avoid the dubbed tasks at any node of grids that cover the survey territory. Combining Hopfield neural network’s map and flight map for each sub-swarm provides an information via wireless communication modules of UAV about the executed facts of monitoring or technological tasks by any individual UAV of sub-swarm to rest of UAVs. This approach allows to use the self-healing properties of the sub-swarms in flocks of bird-like objects (“boids”) by means redefining the tasks of sub-swarms as a cyber-physical system in case of loss of several boids during a critical usage. The structure of the resulting sub-swarms’ behavior models is implemented in two-dimensional spatial corridors of arbitrary shape; then achieved 2D-solving are concatenated. This can significantly speed up the tasks survey territories.</p><p>Results. The software implementing proposed method have been developed and used in computational experiments investigating the properties of the method. The experiments confirmed the efficiency of the proposed method and software.</p>Conclusions. The experiments also allow to recommend them for use in practice to solve the problems survey area using boids’ flock.Copyright (c) 2017 I. M. Zhuravska, M. P. Musiyenkohttp://ric.zntu.edu.ua/article/view/115504MATCHES PROGNOSTICATION FEATURES AND PERSPECTIVES IN CYBERSPORT2017-11-28T12:18:00+02:00M. V. Korobchynskyirvv@zntu.edu.uaL. B. Chyrunrvv@zntu.edu.uaV. A. Vysotskarvv@zntu.edu.uaM. O. Nychrvv@zntu.edu.ua<p>Context. The forecasting system fixing in cybersport is relevant at this point, it is connected to an active development cybersport. In this paper the ability to predict matches users is implemented.</p><p>Objective. The purpose of this work is the system model design of collective predicting outcomes of games results in cyber sport using modern technology of the neuro forecasting. The task is a system development for common user forecasting results of matches cybersport and independent information processing and issuing its own forecast. The main tasks include: all past and future games accounting and analysis; all teams performance / results accounting and analysis; user capabilities to make personal prediction for every match; determining the team winning odds based on previous matches.</p><p>Method. The problem by the survey of experts by means of analytical reports and using artificial neural network is solved. ANN is established in three layers. The first layer consists of 10 neurons-receptors, neurons of inputs data. The second layer of neurons is inside. The third layer is the source of neurons, it is only 2 neurons. The input data for the algorithm is the number of matches won the last 10; the number of won games before this meeting; team rating; stability of (time invariance of the team); the average of the losing team. The answer is 1 or 2 (the victory of a particular team).</p><p>Results. To achieve the cops of the relevant literature with information about the main types of collective prediction is reviewed. A tree objectives, and conducted a systematic analysis of the future system is developed. In this paper the method of interviews with experts and implemented it in their system is altered. Online resources implemented with CMS Drupal. The basic methods of collective prediction are described. A systematic analysis of the research object and subject is developed; objectives tree is developed and the problem and constructed UML-diagrams are studied. The method of interviews with experts and the use of this method in the paper are described. The implementation of a web site with CMS Drupal and programming language PHP is showed.</p><p>Conclusions. Based on the algorithm calculation example and training artificial neural network independent of the human factor in the process of predicting matches cyber sport is implemented. The presence of such system greatly simplifies the search for example cyber sports matches and give everyone the opportunity to take part in predicting matches. This system can give new impetus to the problem of predicting results not only in cyber-sport and sport in general.</p>Copyright (c) 2017 M. V. Korobchynskyi, L. B. Chyrun, V. A. Vysotska, M. O. Nychhttp://ric.zntu.edu.ua/article/view/115531PARALLELING MODIFIED METHOD OF BRANCH AND BOUND TO SOLVE PROBLEM OF MATCHING CURVES FROM ENDANGERED OR THREATENED2017-11-28T12:18:00+02:00A. Danylchenkorvv@zntu.edu.ua<p>Context. The problem of scheduling the passage of procedures of sanatorium patients, which is reduced to the problem of finding an extended maximum matching in a bipartite graph. For the task of matchings with disappearing arcs developed an optimal algorithm of its solution based on branch and bound method. The algorithm takes into account the limits of compatibility procedures. Spend the current experiment based on the evidence of the feasibility of algorithm parallelization for solving the problem of optimal scheduling patients receiving therapeutic treatments applied to its use in the health institutions of Ukraine.</p><p>Objective. To prove the feasibility of the algorithm parallelization optimal solution of our problem.</p><p>Method. A mathematical model of the problem of matchings with disappearing arcs. Selected computing platforms of different configurations with a variety of computing power: a different number of processor cores, different amounts of memory, etc. Written copyright software for the experiment. The program consists of two modules: a server module, which controls the process of performing calculations and client module that runs on the PC are separated for the purpose of calculating the parallel operations. The experiment was conducted on the basis of sanatorium “Denyshi”. Computational experiments for optimal algorithm parallelization for solving the problem of matchings with disappearing arcs. Computer experiment carried out on a series of random conditions of the problem generated by the program. The analysis of the results by comparing the time solving the problem of matchings with disappearing arcs optimal algorithm on different computing platforms.</p><p>Results. The modified method of branches and borders shows the stability of reducing the time of scheduling transmission procedures with increasing computing power.</p>Conclusions. Estimated minimum time scheduling, received at the computer platform with the maximum number of PCs involved. Estimated time scheduling algorithm parallelization by using modifications of the branch and bound directly proportional to the number of vertices of a bipartite graph (which is equal to the sum of the number of procedures and the number of patients), the number of assigned procedures and restrictions.Copyright (c) 2017 A. Danylchenkohttp://ric.zntu.edu.ua/article/view/115533NETWORK TRAFFIC ANOMALIES DETECTION BASED ON INFORMATIVE FEATURES2017-11-28T12:18:00+02:00Y. N. Imamverdiyevrvv@zntu.edu.uaL. V. Sukhostatrvv@zntu.edu.ua<p>Context. The urgent task for feature informativeness evaluation of a large amount of data has been solved. The object of the study was a network traffic.</p><p>Objective is to analyze the data informativeness for network traffic anomalies detection in order to reduce the feature space.</p><p>Method. The approach for feature informativeness evaluation of a large amount of data is proposed to increase the accuracy of the anomaly detection in network traffic. It also substantially increases the computation speed of the classification algorithms. The characteristics of a random forest and Firefly algorithms are considered. In the paper, an algorithm for feature selection based on the integration of these algorithms is proposed. Features are sorted in descending order according to their importance, the least informative ones are not considered. The decision trees, naive Bayes, Bayesian classifier, additive logistic regression and k-nearest neighbors method are considered as classifiers. The quality of the classification results is estimated using six evaluation metrics: true positive rate, false positive rate, precision, recall, Fmeasure and AUC.</p><p>Results. The experiments have been performed in the Matlab environment (2016a) on the NSL-KDD data set, using the proposed algorithm. The best classification results for the selected features have been obtained using k-nearest neighbors method.</p>Conclusions. The conducted experiments have confirmed the efficiency of the proposed approach and allow recommending it for practical use in feature informativeness evaluation in order to reduce the feature space and increase the computation speed of the classification algorithms. In addition, in order to further study the effectiveness of anomaly detection in network traffic, a real data set will be used.Copyright (c) 2017 Y. N. Imamverdiyev, L. V. Sukhostathttp://ric.zntu.edu.ua/article/view/115539COMPUTER TECHNOLOGIES OF VERIFICATION OF KNOWLEDGE BASED ON THE METHOD OF SEQUENTIAL ANALYSIS2017-11-28T12:18:00+02:00K. T. Kuzmarvv@zntu.edu.ua<p>Context. The actual task of increasing the effectiveness of decision support in the statistical control of knowledge has been solved.</p><p>Objective is а development of a computational procedure for solving the problem of classification the educational process participants into four groups, according to their trainability level that allows to control knowledge differently, minimizing the amount of tasks required to accomplished.</p><p>Method. The computer technology for classification the educational process participants into four groups, according to their trainability level: “initial”, “medium”, “sufficiently”, “high”, has been proposed, based on the use of sequential hypothesis testing procedure and allows to perform the controlling of the knowledge while accomplishing tasks, thus minimizing the time for testing and provides the automation of the process of verification the statistical hypotheses in a testing and learning systems with the purpose of differential assessment of knowledge the educational process participants. To solve the problem of definition the assessment standard the method based on creation the function of operational characteristics of sequential criteria is used. The function allows to establish a link between the expected probability of the hypothesis and random probability of the fact of presence in the sample with 1.2 ...n questions appropriate number of incorrect answers.</p><p>Results. The software implementing proposed computational procedure have been developed and used in computational experiments of knowledge testing.</p><p>Conclusions. The experiments confirmed the efficiency of the proposed procedure and software. The experiments also allow to recommend them for use in practice to solve the problems of automated assessment of knowledge.</p>Copyright (c) 2017 K. T. Kuzmahttp://ric.zntu.edu.ua/article/view/115871FACTORIAL CODING WITH ERROR CORRECTION2017-11-28T12:18:00+02:00E. V. Faurervv@zntu.edu.ua<p>Context. Factorial data coding allows combining operations of cryptographic protection, intentional alteration of data, and errorcorrecting coding which leads to the decrease of redundancy introduced by transmitter and to the increase of data rate and effective throughput. At the same time, the described methods of factorial coding do not correct errors, which limits their use.</p><p>Objective of this work is to develop a method of factorial coding with data recovery that provides a comprehensive solution of cryptographic protection and error control coding and allows combining the functions of communication channel errors detecting and correcting.</p><p>Method. The basic idea of the proposed coding method is to increase the distance between the allowed code words that represent permutations calculated for all information bits of a data block and represented in a binary form. The methods of distance increasing based on Euclidean and Hamming metrics are investigated. The basic properties of factorial code with error correction are defined for each of these methods. The estimate of probability characteristics is done on the condition of independence of communication channel errors and their binomial distribution. The receiver structures are developed. Decoding rules implemented in receiver are based on the maximum likelihood criteria and provide both forward error correction and error detection with further correction by retransmission of damaged data block.</p><p>Results. The factorial error-correcting codes using Euclidean and Hamming metrics are implemented. The comparative analysis of the probability of an undetected error, the residual probability of erroneous reception, energy gain, and the relative transmission rate is done for these codes. It is shown that code characteristics are not invariant to the set of allowed code words, and the codes that use Hamming metric are the most efficient codes between the presented codes.</p>Conclusions. The method of factorial coding data recovery by permutation has been further developed. Due to the combination of error correction and detection functions, it can increase the rate loss dynamic component and, consequently, the relative transmission rate, compared to error-detecting factorial coding by reducing its noise immunity. The experiments confirmed the effectiveness of the factorial error-correcting codes.Copyright (c) 2017 E. V. Faurehttp://ric.zntu.edu.ua/article/view/115918INFORMATION TECHNOLOGY OF DIAGNOSIS MODELS SYNTHESIS BASED ON PARALLEL COMPUTING2017-11-28T12:18:00+02:00A. Oliinykrvv@zntu.edu.uaS. Subbotinrvv@zntu.edu.uaS. Skrupskyrvv@zntu.edu.uaV. Lovkinrvv@zntu.edu.uaT. Zaikorvv@zntu.edu.ua<p>Context. The problem of diagnosis models synthesis in the big data processing based on parallel computing is solved. The object of the research is the process of diagnosis models synthesis. The subject of the research are the methods and information technologies for diagnosis models synthesis.</p><p>Objective. The research objective is to develop diagnosis models synthesis information technology.</p><p>Method. The paper deals with information technology of diagnosis models synthesis which is a set of diagrams graphically describing structural elements of the system as well as the behavioral aspects of their interaction at various stages of diagnostics objects models construction. The developed information technology enables to perform the construction of distributed diagnostics systems where computationally complex stages of diagnosis models synthesis are performed on high-performance server equipment, which makes it possible to significantly increase the practical threshold for using diagnostics systems in the processing of big data sets for solving of the tasks of training sample data reduction, rules extraction, diagnosis models construction and retraining.</p><p>Results. The software which implements the proposed information technology and allows to synthesize diagnosis models based on the given data samples has been developed.</p>Conclusions. The conducted experiments have confirmed the proposed information technology operability and allow to recommend it for solving the problems of big data processing for technical and biomedical diagnostics in practice. The prospects for further researches may include the modification of the developed information technology by introducing of other methods of diagnosis models synthesis.Copyright (c) 2017 A. Oliinyk, S. Subbotin, S. Skrupsky, V. Lovkin, T. Zaikohttp://ric.zntu.edu.ua/article/view/116144NO-REFERENCE QUANTITATIVE ASSESSMENT OF GENERALIZED CONTRAST FOR COMPLEX IMAGES2017-11-28T12:18:01+02:00E. S. Yelmanovarvv@zntu.edu.uaY. M. Romanyshynrvv@zntu.edu.ua<p>Context. Nowadays the task of automatically measuring of image quality in real time is extremely relevant for the vast majority of practical applications. No-reference quantitative assessment of image quality is one of the most pressing and difficult problems of image processing. Generalized contrast is the most important quantitative characteristic which determines the objective quality of the image. Currently, the development of new effective methods of no-reference measuring of generalized contrast for complex image in automatic mode which have the level of computing costs, which are acceptable to implement the processing in real time, is one of the most urgent tasks of image pre-processing.</p><p>Objective. Development of new histogram-based method for no-reference measurement of generalized contrast of complex images on the basis of the mean value for all contrast values of all pairs of image elements (objects and background) for various definitions of contrast kernel.</p><p>Method. Analysis of known approaches to measurement of a local contrast of the image elements, of known methods of the quantitative assessment of generalized contrast of complex images as well of the results of experimental research for a series of complex real and test images allowed to reveal inherent patterns (accordance to basic requirements to the definition of contrast, the nature and the dynamic of contrast changes at the linear transformations of the brightness scale), which are manifested depending on the use of the different definitions of the contrast kernels and the metrics of generalized contrast of images.</p><p>Results. New histogram-based method for no-reference measurement of generalized contrast for complex images is proposed. No-reference contrast metrics for the histogram-based measuring of generalized contrast of complex images on the basis of the average contrast of image elements for different definitions of contrast kernel is proposed.</p>Conclusions. Proposed no-reference metrics on the basis of the average contrast of image elements for proposed contrast kernels allow providing accurate quantitative assessment of generalized contrast of the real complex images and enable to evaluate (predict) with reasonable accuracy the perceived image quality at carrying out of subjective (qualitative) expert estimates.Copyright (c) 2017 E. S. Yelmanova, Y. M. Romanyshynhttp://ric.zntu.edu.ua/article/view/116310DEVELOPMENT OF CRITERION VERIFICATION METHOD FOR OPTIMIZATION OF OPERATIONAL PROCESSES WITH THE DISTRIBUTED PARAMETERS2017-11-28T12:18:01+02:00I. Lutsenkorvv@zntu.edu.uaE. Fomovskayarvv@zntu.edu.uaI. Oksanychrvv@zntu.edu.uaO. Serdiukrvv@zntu.edu.ua<p>Context. The urgent verification problem of criterion for optimization of operational processes with the distributed parameters is solved.</p><p>Objective is creation of a verification method for estimated criteria which have high selectivity and allow excluding those indicators, which provide contradictory results in relation to results of local efficiency criteria</p><p>Method. The verification method of global criterion for optimization of operational processes with the distributed parameters of product flows which is based on reference operations classes formation identified with use of the local efficiency criteria, in turn, are based on use of the revealed features of the second integrated parameters from integrated functions of an input and output of global operation model, which adequacy is mathematically proved is offered, providing thereby indicator selection, the estimated features of which allow processing activities coordinating results of the operated systems with the purpose of their owner at the expense of an output in control mode corresponding to a maximum of resources efficiency.</p><p>Results. The algorithm of realization of a verification method for estimated indicators which has been used when carrying out computing experiments connected with the illustration of the offered method opportunities is developed.</p>Conclusions. For the first time three classes of reference models of operations with distributed parameters, each of which is identified with the local criterion of efficiency have been developed. The development of the proposed method let us to make an informed choice of the one indicator for its using as a global optimization criterion of any system operational processes with distributed parameters which require this. The ability to select the adequate optimization criterion will improve the production structures development rate. The experiments have been confirmed the operability of the proposed method, implemented in the algorithm form so it should be recommended to practicing experts for the estimated criteria selection from the indicators set which are offered by the researchers as an optimization criterion for operational processes with distributed parameters. The indicator which has successfully passed the verification enables coordination of the operational process parameters with the owner’s (supersystem‘s) goal. At the same time, it is supposed that the purpose of supersystem is the maximization of own available resources opportunities which are directly connected with use of resources efficiency.Copyright (c) 2017 I. Lutsenko, E. Fomovskaya, I. Oksanych, O. Serdiukhttp://ric.zntu.edu.ua/article/view/116335AUTOMATIC CONTROL OF THE ORE SUSPENSION SOLID PHASE PARAMETERS USING HIGH-ENERGY ULTRASOUND2017-11-28T12:18:01+02:00V. S. Morkunrvv@zntu.edu.uaN. V. Morkunrvv@zntu.edu.uaV. V. Tronrvv@zntu.edu.ua<p>Context. The authors have solved the urgent problem of controlling automatically the parameters of solid ore suspension aimed for conversion thus increasing the end product quality and facilitating the choice and adhearance to the concentration specifications.</p><p>Objective. The research aims at developing the method of obtaining operational data as to iron ore characteristics while concentrating, namely distribution of solid pulp particles as to their sizes and estimated grade applying multi-channel ultrasonic measurements.</p><p>Method. In order to solve the problem of controlling automatically the parameters of solid ore suspension, the authors suggest the method of measuring the intensity of high-frequency bulk ultrasonic waves covering a fixed distance in a measuring chamber containing ore suspension under the influence of ultrasonic vibrations and in case of their absence. The calculated correlations of the measured values make it possible to determine the parameters of solid ore suspension. Besides, while measuring we can observe the formation of gamma-radiation and low-frequency bulk ultrasonic waves in the ore suspension flow. It is possible to measure the intensity of gamma-radiation and lowfrequency bulk ultrasonic waves covering the fixed distance if the measuring chamber contains some reference fluid and the ore suspension flow under ultrasonic vibrations and in the absence thereof. The intensity of ultrasonic vibrations influencing the suspension flow is changed according to the relevant law.</p><p>Results. The dynamic effects of high-frequency ultrasound provide a theoretical basis and a practical approval of the method controlling the solid phase of iron ore pulps in order to displace the particles of the required grain-size class to the measuring zone and to determine the grade in ore particles. The developed purpose-designed programme realizes a numerical analysis and graphical representation of simulation results of changing solid pulp particle-sizes under the controlled influence of high-energy ultrasonic radiation pressure.</p>Conclusions. The authors have devised the method for controlling the distribution of the grade in crushed ore particle-size classes in the pulp flow by means of measuring the changes in the distribution parameters of high- and low-frequency ultrasonic waves as well as gamma-radiation. The method is different from the existing ones by the fact that in the course of measuring, the crushed ore particles of the required size and density are displaced to the measuring zone by exposing the pulps to the high-energy ultrasound influence thus increasing the measurement accuracy by 0.76%.Copyright (c) 2017 V. S. Morkun, N. V. Morkun, V. V. Tronhttp://ric.zntu.edu.ua/article/view/116370AUTOMATED CONTROL CUTTING BASED PREDICTION OF INDIVIDUAL LIFE OF THE CUTTING TOOL2017-11-28T12:18:01+02:00V. V. Nahornyrvv@zntu.edu.ua<p>Context. The article presents the results of research to develop a new methodology for the prediction of individual life of the cutting tool, which served as the basis for the automated operation of the control system of the metal cutting equipment. Predictions of individual life of the cutting tool is topical, but have not solved the problem so far, and this determines the relevance of the material contained in the article.</p><p>Objective. The goal of the work was to develop a methodology for forecasting the individual life of the cutting tool and implementing it in practice by cutting the control algorithm and software, which formed the basis of the automated system of adaptive control operation of metal-processing systems.</p><p>Method. The method provides for control of these systems in a single combination of process control solutions and identification tasks. Identification information signal subjected to the trend model generated during operation of the processing system, which is used as a model, describing the dynamics of the supervised equipment. As a result of the prediction of individual life of the cutting tool and compare it with the desired duration of mechanical treatment, a decision on the variation of the values of the control parameters (feed and spindle speed) to ensure the implementation of the newly appointed regimes required period of faultless operation of the tool.</p><p>Results. Developed software product that formed the basis of the automated system of adaptive control operation of metal-processing systems. The algorithm of the control systems reflects the proposed methodology for the prediction of individual life of the cutting tool.</p>Conclusions. The experiments confirmed the effectiveness of the proposed methodology for the prediction of the cutting tool life and performance of hardware and software that implements this methodology in practice cutting. Scientific novelty research is that for the first time in the practice of engineering develops a completely new control methodology for forecasting the individual life of the cutting tool, that allows you to specifically control the duration of the technological process, focusing on the actual technical condition of the main elements of the technological system. The practical significance of the results is to create a hardware and software system that automates the process of adaptive management of cutting conditions and containing the software algorithm that reflects the new methodology for predicting an individual resource tool. Prospects for further research consists in the creation of a universal system of control of any process equipment, the operation of which is accompanied by the generation of different physical nature of the information signals, objectively reflecting the degree of criticality of the technical condition of the equipment under supervision. The introduction of such a monitoring methodology not only in the manufacturing process, but also in terms of exploitation of different machines determines the value of the research and their significant contribution to the science of control.Copyright (c) 2017 V. V. Nahornyhttp://ric.zntu.edu.ua/article/view/116403RESEARCH AND AUTOMATION OF BIOLOGICAL REACTORS OF EFFLUENT WITH THE OXYGEN CONCENTRATION CONTROL2017-11-30T11:06:30+02:00A. P. Safonykrvv@zntu.edu.uaM. I. Klepachrvv@zntu.edu.uaI. M. Targoniyrvv@zntu.edu.ua<p>Context. The actual problem of development of mathematical models of processes of wastewater treatment, subject to automatic control was resolved.</p><p>Objective to develop a mathematical model of the process of wastewater treatment from biological substances immobilized microorganisms in multistage anaerobic-aerobic method of purification which takes into account the oxidation of organic matter, reproduction and death of bacteria as a set of interaction of various factors, depending on the concentration of dissolved oxygen and pollutants organic matter.</p><p>Method. We used the methods of mathematical physics and hydrodynamics to build mathematical models of processes of cleaning fluids, common approaches to building model problems in which some components dominate over others. The mathematical model of biological wastewater treatment was built. It takes into account the changes in the concentrations of pollution, sludge and oxygen in reproduction and the withering away of the bacteria in biological reactors of various types.</p><p>Results. The solution of corresponding model problem was found by using functions pdepe environment MatLab. The results of calculations of concentration distribution of contamination, sludge and oxygen cleaning fluid over time were shown. It takes into account the ability of bacteria to multiply and dying.</p>Conclusions. The experiments confirmed the adequacy of the constructed model. Based on the results, the automated control system was developed. It controls permissible concentration of pollution in wastewater, which provides energy-saving principles of installation.Copyright (c) 2017 A. P. Safonyk, M. I. Klepach, I. M. Targoniy