The method of multi objective synthesis of nonlinear robust control by multimass electromechanical systems

Authors

DOI:

https://doi.org/10.20998/2074-272X.2022.4.02

Keywords:

multimass electromechanical systems, nonlinear robust control, multi objective synthesis, Hamilton-Jacobi-Isaacs equation, computer simulation, experimental research

Abstract

Aim. Development of the method of multi objective synthesis of nonlinear robust control by multimass electromechanical systems to satisfy various requirements for the operation of multi-mass systems in various modes. Methodology. The problem of multi objective synthesis of nonlinear robust control of multimass electromechanical systems is formulated and the possibility of satisfying various requirements for the operation of such systems in various modes based on the concept of functionally multiple membership of the state vector and the solution of the Hamilton-Jacobi-Isaacs equation is shown. A method for choosing weight matrices with the help the vector of purpose of nonlinear robust control is formed by solving a zero-sum vector antagonistic game has been substantiated and developed. Results. The results multi objective synthesis of nonlinear robust two-mass electromechanical servo systems in which differences requirements for the operation of such systems in various modes were satisfied are given. Based on the results of modeling and experimental studies it is established, that with the help of synthesized robust nonlinear controllers, it is possible to improve of quality indicators of two-mass electromechanical servo system in comparison with the system with standard regulators. Originality. For the first time the method of multi objective synthesis of nonlinear robust control by multimass electromechanical systems to satisfy various requirements for the operation of multimass systems in various modes is developed. Practical value. From the point of view of the practical implementation the possibility of solving the problem of multi objective synthesis of nonlinear robust control systems to satisfy various requirements for the operation of multimass electromechanical systems in various modes is shown.

Author Biographies

B. I. Kuznetsov, A. Pidhornyi Institute of Mechanical Engineering Problems of the National Academy of Sciences of Ukraine

Doctor of Technical Science, Professor

T. B. Nikitina, Educational scientific professional pedagogical Institute of Ukrainian Engineering Pedagogical Academy

Doctor of Technical Science, Professor

I. V. Bovdui, A. Pidhornyi Institute of Mechanical Engineering Problems of the National Academy of Sciences of Ukraine

PhD, Senior Research Scientist

O. V. Voloshko, A. Pidhornyi Institute of Mechanical Engineering Problems of the National Academy of Sciences of Ukraine

PhD, Junior Research Scientist

V. V. Kolomiets, Educational scientific professional pedagogical Institute of Ukrainian Engineering Pedagogical Academy

PhD, Associate Professor

B. B. Kobylianskyi, Educational scientific professional pedagogical Institute of Ukrainian Engineering Pedagogical Academy

PhD, Associate Professor

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Published

2022-07-08

How to Cite

Kuznetsov, B. I., Nikitina, T. B., Bovdui, I. V., Voloshko, O. V., Kolomiets, V. V., & Kobylianskyi, B. B. (2022). The method of multi objective synthesis of nonlinear robust control by multimass electromechanical systems. Electrical Engineering & Electromechanics, (4), 12–20. https://doi.org/10.20998/2074-272X.2022.4.02

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Section

Electrotechnical complexes and Systems

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