V. A. Khobin, V. M. Levinskyi, M. V. Levinskyi


Context. A whole series of technological type control objects have substantially nonlinear static characteristic, when gain
through control channel changes in ten or more times. At the same time typical control systems with unchanged controller parameters
lose their stability and switch to the position mode of operation. Automatic control systems (ACS) with self-tuning of the controller
parameters allow to save a compromise between quality indicators and processes stability in the systems with such objects. Their
algorithms should provide effective system functioning not only in steady-state, but also in transient modes, when set point changes,
when control object is being transferred from the initial state, more often from idling, to the state of nominal load. The controlled
variable in the start-up modes must not violate the procedural limits of the technological process, since it can lead to emergency
Objective. To improve the ACS algorithms with self-tuning for the start-up conditions of the control object, ensuring the completion
of the self-tuning procedure during the start-up period and lowering the possibility of emergency situations.
Method. Utilizing analysis of the advantageous and disadvantageous factors for the self-tuning procedure, using heuristic
method, correction for the algorithms, which were developed earlier for steady-states, was proposed for the start-up period. Algorithms
correction efficiency is verified by simulation of the system in the Simulink environment of the MatLab software package.
Results. Computer experiments with models of alternative structures of the self-tuning system were planned and conducted. Obtained
figures and numerical values characterize the efficiency of its operation in the start-up modes.
Conclusions. To complete the self-tuning procedure during the start-up period and to prevent unacceptable dynamic control errors,
it is necessary to: a) increase the controller gain and decrease the persistence of the filters in the self-tuning loop during the startup
period; b) set the initial value of the control object model gain at the maximum possible level.


ACS with self-tuning; gain; own motion component; start-up period


Landau I. D. Adaptive Control. London, Springer-Verlag

London Limited, 2011, 234 p. DOI: 10.1007/978-0-85729-


Isermann R. Digital Control Systems. Berlin, Springer-

Verlag Berlin Heidelberg, 1991, 325 p. DOI: 10.1007/978-


Astrom K., Hagglund T. The Future of PID Control, IFAC

Proceedings Volumes, April 2000, Volume 33, Issue 4,

рр. 19–30. DOI: 10.1016/S1474-6670(17)38216-2

Khobin V. A., Levinskyi M. V. Optimizacija fil’trov

sobstvennogo dvizhenija samonastrai-vajushhejsja SAU

objektom tehnologicheskogo tipa, Radio Electronics, Computer

Science, Control, 2016, No. 4, pp. 120–129. DOI:


Khobin V. A., Levinskyi M. V. Principi, algoritmi і

rezul’tati pіdvishhennja efektivnostі samonalagodzhuval’noї

sistemi keruvannja ob’єktom tehnologіchnogo tipu, Radio

Electronics, Computer Science, Control, 2017, No. 2,

pp. 172–181. DOI: 10.15588/1607-3274-2017-2-19

Landau I. D., Lozano R., M’Saad M., Karimi A. Adaptive

Control. Algorithms, Analysis and Applications. New York,

Springer London Dordrecht Heidelberg, 2011, 610 p. DOI:


Maggio M., Leva A. The PID+p controller structureand its

contextual model-based tuning, IFAC Proceedings Volumes,

January 2011, Volume 44, Issue 1, pp. 4101–4106. DOI:


Kolaj W., Syfert M. PLC-PIDTuner: Application for PID

Tuning with SIMATIC S7 PLC Controllers, IFAC Proceedings

Volumes, 2010, Volume 43, Issue 2, pp. 343–348. DOI:


Xue D., Chen Y., Atherton D. Linear feedback control:

analysis and design with MATLAB, Philadelphia, Siam,

, 356 p. DOI: 10.1137/1.9780898718621

Higham D., Higham N. MATLAB Guide, Third Edition.

Philadelphia, Siam, 2016, 462 p. DOI:


GOST Style Citations

1. Landau I. D. Adaptive Control / I. D. Landau. – London :
Springer-Verlag London Limited, 2011. – 234 p. DOI:
2. Isermann R. Digital Control Systems / R. Isermann. – Berlin:
Springer-Verlag Berlin Heidelberg, 1991. – 325 p. DOI:
3. Astrom K. The Future of PID Control / K. Astrom , T. Hagglund
// IFAC Proceedings Volumes. – 2000. – Volume 33,
Issue 4. – P. 19–30. DOI: 10.1016/S1474-6670(17)38216-2
4. Хобин В. А. Оптимизация фильтров собственного дви-
жения самонастраи-вающейся САУ объектом техноло-
гического типа / В. А. Хобин, М. В. Левинский // Радіо-
електроніка, інформатика, управління. – 2016. – № 4. –
С. 120–129. DOI: 10.15588/1607-3274-2016-4-15
5. Хобін В. А. Принципи, алгоритми і результати підви-
щення ефективності самоналагоджувальної системи ке-
рування об’єктом технологічного типу / В. А. Хобін,
М. В. Левінський // Радіоелектроніка, інформатика,
управління. – 2017. – №2. – С. 172–181. DOI:
6. Adaptive Control. Algorithms, Analysis and Applications /
[I. D. Landau, R. Lozano, M. M’Saad, A. Karimi]. – New
York : Springer London Dordrecht Heidelberg, 2011. –
610 p. DOI: 10.1007/978-0-85729-664-1
7. Maggio M. The PID+p controller structureand its contextual
model-based tuning / M. Maggio, A. Leva // IFAC Proceedings
Volumes. – January 2011. – Volume 44, Issue 1. –
P. 4101–4106. DOI: 10.3182/20110828-6-IT-1002.01029
8. Kolaj W. PLC-PIDTuner: Application for PID Tuning with
SIMATIC S7 PLC Controllers / W. Kolaj, J. Mozaryn,
M. Syfert // IFAC Proceedings Volumes. – 2010. – Volume
43, Issue 2. – P. 343–348. DOI: 10.3182/20100607-3-CZ-
9. Xue D. Linear feedback control: analysis and design with
MATLAB / D. Xue, Y. Chen, D. Atherton. – Philadelphia:
Siam, 2007. – 356 p. DOI: 10.1137/1.9780898718621
10. Higham D. MATLAB Guide, Third Edition / D. Higham,
N. Higham. – Philadelphia: Siam, 2016. – 462 p. DOI:

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