This article is cited in 2 papers

Nonlinear Systems

Design of nonlinear selectively invariant control systems based on quasilinear models

A. R. Gaiduk

Institute of Radio Engineering Systems and Control Southern Federal University, Taganrog, Russia

Abstract: An original analytical method is developed to design the selectively invariant control systems for nonlinear plants with differentiable nonlinearities. To solve the design problem, the method of designing nonlinear control systems is applied on the base of a quasilinear model of nonlinear plants and the internal models principle of external impacts is used, taking into account the requirements for the relative order of the control device and the fast response of the designed system. The system of linear algebraic equations is solved to determine the parameters of the nonlinear control device. The suggested method can be applied to design the control systems for nonlinear plants of various purposes, operating under conditions of regular external impacts of the known form.

Keywords: nonlinear plant, differentiable nonlinearity, quasilinear model, selectively invariant system, impact, spectrum, spectral model, stability, robustness.

Presented by the member of Editorial Board: S. A. Krasnova

Received: 19.01.2022
Revised: 12.09.2022
Accepted: 29.09.2022

DOI: 10.31857/S0005231023020058

 English version: Automation and Remote Control, 2023, 84:2, 128–142