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Application of various types of approximations in solving the problem of synthesis of multi-connected automatic control systems

Abstract

Application of various types of approximations in solving the problem of synthesis of multi-connected automatic control systems

Vataeva E.Yu.

Incoming article date: 17.11.2025

The paper considers the solution of the problem of synthesis of a multiconnected nonlinear system with polynomial and piecewise linear approximations. The generalized Galerkin method is used as a mathematical apparatus. The synthesis results and advantages of each of the approximations are presented.

Keywords: multivariable automatic control systems, parametric synthesis, nonlinear automatic control systems, generalized Galerkin method, polynomial approximation, piecewise-linear approximation, saturation, minimization, objective function, recurrent relations