Abstract
The article discusses the solution of the problem of the synthesis of the parameters of the control laws of nonlinear continuous and pulse automatic control systems with the polynomial approximation of nonlinearities. As a mathematical apparatus, the inversion of the direct variational method of analysis — the generalized Galerkin method — is used to solve the problem. This makes it possible to completely algebraize the solution of the problem posed for the ACS class under study, whose dynamics are described by nonlinear differential equations of arbitrary order.
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