SYNTHESIS THE DIGITAL REGULATORS OF LOWERED ORDER FOR THE RESERVED SYSTEMS MANAGEMENT BY CONTINUOUS OBJECTS

Authors

  • I. V. Zimchuk Korolyov Zhytomyr Military Institute, Ukraine

DOI:

https://doi.org/10.15588/1607-3274-2017-4-21

Keywords:

Synthesis, reduction, digital regulator, transmission function, management object, frequency description.

Abstract

Context. Complication of digital regulator of the closed control systems by the continuous objects is determined by the dimension of mathematical model of control object, which given as a transmission function. In practice more preferable are simple regulators a dimension of which is a less dimension of object. For this reason a task of synthesis the control system with use the linear regulators of subzero order is the article attention of many researchers.

Objective. Exposition the results of development methodology by synthesis of digital regulators the lowered order with the assured control quality on the basis of reduction transmission function of control object.

Method. Simplification of regulators is arrived at by using for the synthesis the reduction transmission function of control object. A synthesis it is suggested to execute in two stages. On the first stage reduction of transmission function of management object comes true. The criterion quality of reduction is accordance the values of integral estimations quality of transient initial and simplified models the management objects reserved by the single negative feed-back of the automatic control system. The quality criterion is arrived at by providing the accordance of indirect indexes quality of transient initial and reduction models. On the second stage the direct synthesis of digital regulator will be realized. The use of synthesis method of compensative regulators is in-process shown.

Results. Application of the expounded approach is shown on the example of synthesis the digital regulator for FLL system. Work example and simulation results are presented.

Conclusions. Unlike the known approaches, accordance between initial and simplified transmission functions arrived at by the appropriation to reduction model the values of indirect indexes quality of initial model transient, which are determined on frequency descriptions. Practical meaningfulness of work consists in creation the methodology synthesis of simple linear digital regulators for reserved control system continuous objects.

Author Biography

I. V. Zimchuk, Korolyov Zhytomyr Military Institute

PhD., Associate Professor, Associate Professor of Department of Computer Integrated Technologies and Cybernetic Safety

References

Bojchenko V. A., Kurdyukov A. P., Timin V. N. i dr. Nekotorye metody sinteza regulyatorov ponizhennogo poryadka i zadannoj struktury, Upravlenie bol’shimi sistemami: sbornik trudov. Moscow, IPU RAN, 2007, Vyp. 19, pp. 23–126.

Romanova I. K. Sovremennye metody redukcii nelinejnyh system i ih primenenie dlya formirovaniya modelej dvizhushchihsya ob”ektov, Vestnik MGTU im. N. EH. Baumana. Ser. “Mashinostroenie”, 2012, pp. 122–133.

Izerman R. Cifrovye sistemy upravleniya. Moscow, Mir, 1984, 541 p.

Gostev V. I., Sklyarenko S. N. Optimal’nye sistemy upravleniya s cifrovymi regulyatorami: spravochnik. Kiev, KIRC «Sens», 1995, 484 p.

Kotlyarov V. O., ZHilevskaya L. A. Sintez nablyudatelej s reducirovannymi modelyami ehlektroprivoda, Elektromekhanіchnі і energozberіgayuchі sistemi, 2012, No. 3 (19), pp. 114–115.

Mironovskij L. A. Funkcional’noe diagnostirovanie dinamicheskih sistem. Sankt-Peterburg, 1998, 257 p.

Mehn Cinsun, SHestakov K. M. Metod uproshcheniya modelej dlya slozhnyh sbalansirovannyh sistem upravleniya, Vestnik BGU. Ser. 1, 2008, No. 3, pp. 44–51.

Guiver С., Mark R. Bounded real and positive real balanced truncation for infinite-dimensional systems, Mathematical Control and Related Fields (MCRF), 2013, Vol. 3, Issue 1, pp. 83–119.

Monshizadeh N., Harry L. T., Kanat M. A Simultaneous Balanced Truncation Approach to Model Reduction of Switched Linear Systems, IEEE Transactions On Automatic Control, 2012, Vol. 57, No. 12, pp. 3118–3131.

Arsen’ev G. N., Zajcev G. F. Radioavtomatika. CH. 1. Teoriya linejnyh nepreryvnyh sistem avtomaticheskogo upravleniya REHS. Uchebnik dlya vuzov. Moscow, SAJNS-PRESS, 2008, 480 p.

Kuo B. Teoriya i proektirovanie cifrovyh sistem upravleniya. Moscow, Mashinostroenie, 1986, 448 p.

Polyakov K. YU. Osnovy teorii cifrovyh sistem upravleniya: Ucheb. Posobie. Sankt-Peterburg, SPbGMTU, 2006, 161 p.

Zіmchuk І. V., Іshchenko V. І., Kankіn І. O. Sintez algoritmіv cifrovogo upravlіnnya dlya avtomatichnih slіdkuval’nih sistem, Sistemnі doslіdzhennya ta іnformacіjnі tekhnologії, 2015, No. 1, pp. 32–38.

How to Cite

Zimchuk, I. V. (2018). SYNTHESIS THE DIGITAL REGULATORS OF LOWERED ORDER FOR THE RESERVED SYSTEMS MANAGEMENT BY CONTINUOUS OBJECTS. Radio Electronics, Computer Science, Control, (4), 187–192. https://doi.org/10.15588/1607-3274-2017-4-21

Issue

Section

Control in technical systems