Parametric synthesis of automatic control systems with ambiguous nonlinear characteristics
Abstract
Parametric synthesis of automatic control systems with ambiguous nonlinear characteristics
Incoming article date: 17.11.2025The paper proposes a modified method for the parametric synthesis of nonlinear automatic control systems with ambiguous nonlinearities based on the generalized Galerkin method. To eliminate the need to determine switching points, the transient process is approximated by two sections: a polynomial before the time tp and a constant value after it. This allows us to obtain recurrent formulas for Bqi integrals, simplify calculations, and maintain the absolute stability of the system.
Keywords: parametric synthesis, nonlinear automatic control systems, generalized Galerkin method, ambiguous (multi-valued) nonlinearities, hysteresis, switching points, polynomial approximation, impulse automatic control systems, recurrent relations