Synthesis of Nonlinear Impulse Systems

Abstract

The problem of synthesizing the parameters of the laws of control of continuous and pulsed automatic control systems with polynomial approximation of nonlinearities is considered. As a mathematical apparatus for solving the problem, the method is used that is the inverse of the direct variational analysis method—the generalized Galerkin’s method, which allows you to completely algebraize the solution of the problem for the class of automatic control systems under study, the dynamics of which are described by nonlinear differential equations of arbitrary order. The generalized Galerkin method is extended to a new class of systems—impulse nonlinear systems. Recurrence expressions defining Galerkin integrals for this type of approximation are also given.