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vol 63 / August, 2020
Article

DOI 10.17586/0021-3454-2019-62-9-834-842

UDC 681.51

SYNTHESIS OF NONLINEAR PULSE SYSTEMS WITH POLYNOMIAL APPROXIMATION

V. F. Shishlakov
SUAI, Department of Control in Technical Systems; Professor


E. Y. Vataeva
St. Petersburg State University of Aerospace Instrumentation, Depart-ment of Control in Technical Systems;


N. V. Reshetnikova
St. Petersburg State University of Aerospace Instrumentation, Depart-ment of Control in Technical Systems;


D. V. Shishlakov
St. Petersburg State University of Aerospace Instrumentation, Department of Control in Technical Systems;


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Abstract. Solution to the problem of synthesis of the parameters of the control laws for pulsed automatic control systems with polynomial approximation of nonlinearities is considered. As a mathematical apparatus, the inversion of the direct variational method of analysis — the generalized Galerkin method — is applied. This makes it possible to completely algebraize the solution of the problem for the studied class of automated control system, the dynamics of which are described by nonlinear differential equations of arbitrary order.
Keywords: polynomial approximation, impulse systems, generalized Galerkin method, ACS synthesis, nonlinear systems

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