English version
ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Дифференциальные Уравнения
и
Процессы Управления

О журнале История Журнала Издатель Адреса Тематика Редакторский состав Рецензирование Для авторов Издательская этика Коллекция номеров English version

Synthesis Algorithm for Control System with Saturated Actuator

Автор(ы):

Iuliia Sergeevna Zaitceva

Ph.D., Researcher of Laboratory for Control
of Complex Systems, Institute for Problems in Mechanical Engineering, RAS (IPME RAS),
Researcher of Department of Applied Cybernetics, Faculty of Mathematics and Mechanics,
St. Petersburg State University (St. Petersburg State University),
Associate Professor of Department of Automatic Control Systems, St.Petersburg Electrotechnical University В«LETIВ»

juliazaytsev@gmail.com

Boris Rostislavich Andrievsky

Doctor of Technical Sciences, Leading Researcher, Laboratory for Control
of Complex Systems, Institute for Problems in Mechanical Engineering, RAS (IPME RAS),
Principal Researcher,
Department of Applied Cybernetics, Faculty of Mathematics and Mechanics,
St. Petersburg State University (St. Petersburg State University)

boris.andrievsky@gmail.com

Nikolay Vladimirovich Kuznetsov

Doctor of Physical and Mathematical Sciences, Head of the Department
of Applied Cybernetics, St. Petersburg State University,
Head of the Laboratory of Information and Control Systems of the Institute
for Problems of Mechanical Engineering of the Russian Academy of Sciences (IPME RAS)

nkuznetsov239@mail.ru

Аннотация:

The paper presents a generalized algorithm for designing closed optimal systems with a dynamic controller and a nonlinear actuator. The purpose of the proposed algorithm is to identify the area of system performance degradation, manifested as unintentional oscillations, due to the influence of actuator nonlinearity and reduce this area. The algorithm is implemented using a heuristic search algorithm and the method of sequential nonlinear correction. The results of the algorithm operation are shown on the PI control system of the angular plant motion with a saturated actuator. Simulation of the system with various input parameters showed the possibility of fluctuations in the system output. The numerical analysis results of the nonlinear system are presented in the form of exponential diagrams of the performance error, covering all input parameters.

Ключевые слова

Ссылки:

  1. Leonov G., Andrievsky B., Kuznetsov N., Pogromskii A. Aircraft control with anti-windup compensation. Differential Equations, 2012, vol. 48, no. 13, pp. 1700-1720
  2. Hu T., Lin Z. Control Systems with Actuator Saturation: Analysis and Design. USA: Birkhauser Boston, Inc., 2001, 392 p
  3. Teel A. R. Windup in Control: Its Effects and Their Prevention. IEEE Transactions on Automatic Control, 2008, vol. 53, no. 8, pp. 1976-1977
  4. Nguyen A. -T., Marquez R., Dequidt A. An augmented system approach for LMI-based control design of constrained Takagi-Sugeno fuzzy systems. Engineering Applications of Artificial Intelligence, 2017, vol. 61, pp. 96-102
  5. Rundqwist L., Stahl-Gunnarsson K. Phase compensation of rate limiters in unstable aircraft. Proc. of the 1996 IEEE Int. Conf. on Control, 1996, pp. 19-24
  6. Zaitceva I. S., Kuznetsov N. V., Andrievsky B. R. Serial Nonlinear Correction Method in the Flight Vehicle Systems. Proc. of Cyber-Physical Systems and Control II, Cham: Springer Int. Publ., 2023, pp. 315-324
  7. Andrievsky B., Zaitceva I., Kuznetsov N. V. Application of Nonlinear Correction Method for Attitude Control and Landing Oscillations Prevention. IFAC-PapersOnLine, 2022, vol. 55, no. 29, pp. 37-42
  8. Asua E., Etxebarria V., Garcia-Arribas A. Neural network-based micropositioning control of smart shape memory alloy actuators. Engineering Applications of Artificial Intelligence, 2008, vol. 21, no. 5, pp. 796-804
  9. Kiseleva M., Kuznetsov N., Leonov G., Neittaanmaki P. Hidden oscillations in drilling system actuated by induction motor. IFAC-PapersOnline, 2013, vol. 5, no. 1, pp. 86-89
  10. Leonov G., Kuznetsov N. Hidden attractors in dynamical systems. From hidden oscillations in Hilbert-Kolmogorov, Aizerman, and Kalman prob- lems to hidden chaotic attractor in Chua circuits. Int. J. of Bifurcation and Chaos, 2013, vol. 23, no. 1, pp. 1-69
  11. Zaitceva I., Andrievsky B., Kuznetsov N. V., Popov A. M. Simulation of Remote Manipulator Control System with Saturated Actuator. IFAC- PapersOnLine, 2022, vol. 55, no. 10, pp. 2980-2985
  12. Athans M., Falb P. Optimal Control. New York: McGraw-Hill, 2006, 894 p
  13. Zel’chenko V., Sharov S. Nelinejnaja korrekcija avtomaticheskih sistem. [Nonlinear Correction of Automatic Control Systems]. Leningrad, Sudostroenie, 1981, 167 p. (in Russian)
  14. Bell D. Harmonic linearization in optimal control. Int. J. of Control, 1993, vol. 57, no. 2, pp. 495-500
  15. Chechurin L., Chechurin S. Physical Fundamentals of Oscillations. Springer Cham, 2018, 264 p
  16. Alorf A. A survey of recently developed metaheuristics and their comparative analysis. Engineering Applications of Artificial Intelligence, 2023, vol. 117, pp. 105622
  17. van den Berg R., Pogromsky A., Leonov G., Rooda J. Design of Convergent Switched Systems. Proc. of Group Coordination and Cooperative Control, Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. pp. 291-311
  18. Pavlov A., van de Wouw N., Pogromsky A. et al. Frequency domain performance analysis of nonlinearly controlled motion systems. Proc. 46th IEEE Conference on Decision and Control, 2007, pp. 1621-1627
  19. Pavlov A., van de Wouw N., Nijmeijer H. Convergent Systems: Analysis and Synthesis. Proc. Control and Observer Design for Nonlinear Finite and Infinite Dimensional Systems, Berlin, Heidelberg: Springer Berlin Heidelberg, 2005. pp. 131- 146
  20. Astrom K., Hagglund T. Advanced PID Control. Res. Triangle Park, North Carolina: ISA, 2006, 354 p

Полный текст (pdf)