Preview

Journal of Instrument Engineering

Advanced search

Parametric Synthesis of Linear Automatic Control Systems with Distributed Parameters

https://doi.org/10.17586/0021-3454-2024-67-3-230-240

Abstract

The problem of parametric synthesis of control laws for continuous automatic control systems with distributed parameters is considered. As a mathematical apparatus for solving the problem, the method of separation of variables (Fourier) is used to implement the transition from partial differential equations to ordinary differential equations, in order to extend the generalized Galerkin method to a new class of systems with distributed parameters. 

About the Authors

V. F. Shishlakov
St. Petersburg State University of Aerospace Instrumentation, Department of Control in Technical Systems
Russian Federation

Vladislav F. Shishlakov — Dr. Sci., Professor,

St. Petersburg.

 



V. I. Goncharova
St. Petersburg State University of Aerospace Instrumentation, Department of Control in Technical Systems
Russian Federation

Victoria I. Goncharova — Senior Lecturer,

St. Petersburg.



References

1. Bobtsov A., Pyrkin A., Vedyakov A., Vediakova A., Aranovskiy S. IFAC-PapersOnLine, 2022, no. 1(55), pp. 324–329.

2. Bezzubov V., Bobtsov A., Efimov D., Ortega R., Nikolaev N.A. Intern. J. of Robust and Nonlinear Control, 2023, no. 2(33), pp. 1203–1213.

3. Vorontsova V.L., Gorskaya T.Y. Intern. J. of Applied Engineering Research, 2015, no. 10(24), pp. 44715–44723.

4. Voronov A.A., Orurk I.A., eds., Analiz i optimal'nyy sintez na EVM sistem upravleniya (Analysis and Optimal Synthesis on a Computer of Control Systems), Moscow, 1984, 340 р. (in Russ.)

5. Voronov A.A., Orurk I.A., eds., Algoritmy dinamicheskogo sinteza nelineynykh avtomaticheskikh sistem (Algorithms for Dynamic Synthesis of Nonlinear Automatic Systems), St. Petersburg, 1992, 334 р. (in Russ.)

6. Shishlakov V. F. Sintez nelineynykh SAU s razlichnymi vidami modulyatsii (Synthesis of Nonlinear Automatic Control Systems with Various Types of Modulation), St. Petersburg, 1999, 268 р. (in Russ.)

7. Nikitin A.V., Shishlakov V.F. Parametricheskiy sintez nelineynykh sistem avtomaticheskogo upravleniya (Parametric Synthesis of Nonlinear Automatic Control Systems), St. Petersburg, 2003, 358 р. (in Russ.)

8. Shishlakov V.F. Journal of Instrument Engineering, 2003, no. 12, pp. 25–30. (in Russ.)

9. Nikitin A.V., Shishlakov V.F. Journal of Instrument Engineering, 2004, no. 5, pp. 24–29. (in Russ.)

10. Shishlakov V.F., Gribkov V.N. Metody issledovaniy i proyektirovaniya avtomaticheskikh sistem i priborov (Methods of Research and Design of Automatic Systems and Devices), Leningrad, 1990, рр. 35–41. (in Russ.)

11. Shishlakov V.F. Metody i sredstva obrabotki i polucheniya dannykh v informatsionno-upravlyayushchikh sistemakh (Methods and Means of Processing and Obtaining Data in Information Management Systems), Leningrad, 1990, рр. 30–37. (in Russ.)

12. Aida-zade K.R., Abdullayev V.M. Automation and Remote Control, 2022, no. 1, pp. 106–122.

13. Ankilov A.V., Velmisov P.A., Semenov A.S. Resheniye lineynykh zadach matematicheskoy fiziki na osnove metodov vzveshennykh nevyazok (Solving Linear Problems of Mathematical Physics Based on Weighted Residual Methods), Ulyanovsk, 2010, 179 р. (in Russ.)

14. Fletcher C.A.J. Computational Galerkin methods, NY, Springer-Verlag, 1984.

15. Diligenskaya A.N., Dnilushkin I.A. Matematicheskoye modelirovaniye sistem s raspredelennymi parametrami (Mathematical Modeling of Systems with Distributed Parameters), Samara, 2012, 65 р. (in Russ.)


Review

For citations:


Shishlakov V.F., Goncharova V.I. Parametric Synthesis of Linear Automatic Control Systems with Distributed Parameters. Journal of Instrument Engineering. 2024;67(3):230-240. (In Russ.) https://doi.org/10.17586/0021-3454-2024-67-3-230-240

Views: 16


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 0021-3454 (Print)
ISSN 2500-0381 (Online)