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Probl. Upr., 2014, Issue 5, Pages 14–19 (Mi pu873)  

Analysis and synthesis of control systems

Controller with discrete variable parameters

V. N. Afanasiev, A. A. Semion

Moscow State Institute of Electronics and Mathematics — Higher School of Economics

Abstract: For a class of nonlinear uncertain dynamic objects presented in the form of models with linear structure and state dependent coefficients the control problem is formulated in the key control differential game with quadratic quality functional. The synthesis of controls which leads to need of Riccati equation solution with parameters depending on states at rate of object functioning is carried out. The method for finding the realizable values of the controller parameters based on the solution of this equation in some points of the trajectory of the system and determining the parameters of the controller to control the corresponding intervals is proposed. The results are illustrated by mathematical modeling of a hypothetical object.

Keywords: nonlinear uncertain dynamic systems, differential games, Hamilton–Jacobi–Isaacs equation–Riccati equation.

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UDC: 517.977.8+517.977.58

Citation: V. N. Afanasiev, A. A. Semion, “Controller with discrete variable parameters”, Probl. Upr., 2014, no. 5, 14–19

Citation in format AMSBIB
\Bibitem{AfaSem14}
\by V.~N.~Afanasiev, A.~A.~Semion
\paper Controller with discrete variable parameters
\jour Probl. Upr.
\yr 2014
\issue 5
\pages 14--19
\mathnet{http://mi.mathnet.ru/pu873}


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