Abstract
A method of multiobjective synthesis of nonlinear robust electromechanical servo systems with parametric uncertainty is developed. Matrices of the nonlinear feedbacks regulator and the nonlinear observer are determined on the basis of the Hamilton-Jacobi-Bellman-Isaacs equations solutions. The goal vector of robust control is determined on the basis of the vector nonlinear programming problem solution, the vector objective function components are the direct quality indicators that are presented to the system in different modes of operation. The results of modeling and experimental research of the dynamic characteristics of a synthesized nonlinear electromechanical servo system are presented. References 10.
References
Aleksandrov Е.Е., Bogaenko I.N., Kuznetsov B.I. Parametric synthesis of tank weapon stabilization systems. Кyiv: Теkhnika, 1997. 112 p. (Rus)
Kondratenko I.P., Zhyltsov A.V., Pashchyn N.A., Vasyuk, V.V. Selecting induction type electromechanical converter for electrodynamic processing of welds. Tekhnichna elektrodynamika. 2017. No 5. Pp. 83–88 (Rus).
Mazurenko L.I., Dzhura O.V., Romanenko V.I., Bilyk O.A. Numerical investigation of induction generators with two stator windings in welding complexes with pwm current regulators. Tekhnichna elektrodynamika. 2012. No 3. Pp. 83–84. (Ukr)
Peresada S., Kovbasa S., Korol S., Zhelinskyi N. Feedback linearizing field-oriented control of induction generator: theory and experiments. Tekhnichna elektrodynamika. 2017. No 2. С. 48–56.
Kuznetsov B.I., Nikitina T.B., Tatarchenko M.O., Khomenko V.V. Multicriterion anisotropic regulators synthesis by multimass electromechanical systems. Tekhnichna elektrodynamika. 2014. No 4. Pp. 105–107. (Rus).
Wilson J. Rugh. Nonlinear System Theory. The Volterra Wiener Approach. The Johns Hopkins University Press, 2002. 330 p.
Ray S., Lowther D.A. Multi-objective optimization applied to the matching of a specified torque-speed curve for an internal permanent magnet motor. Magnetics, IEEE transactions. 2009. No 45. Рp. 1518–1521.
Ren Z., Pham M.-T., Koh C.S. Robust global optimization of electromagnetic devices with uncertain design parameters: comparison of the worst case optimization methods and multiobjective optimization approach using gradient index. Magnetics, IEEE transactions. 2013. No 49. Р. 851–859.
Shoham Y., Leyton-Brown K. Multiagent Systems: Algorithmic, Game-Theoretic, and Logical Foundations. Cambridge University Press, 2009. 504 p.
William M. McEneaney. Max-plus methods for nonlinear control and estimation. Birkhauser Boston Basel Berlin, 2006. 256 p.

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Copyright (c) 2019 B.I. Kuznetsov, A.N. Turenko, T.B. Nikitina, I.V. Bovdui, V.V. Kolomiets