Nonlinear time-delay anti-windup compensator synthesis for nonlinear time-delay systems: A delay-range-dependent approach

Abstract

This paper addresses the novel architectures׳ formulation and linear matrix inequality (LMI)-based design of dynamic nonlinear anti-windup compensator (AWC) for nonlinear time-delay systems with continuous interval time-varying delays under input saturation. An internal model control (IMC)-based AWC architecture is suggested for stable nonlinear time-delay systems and, in addition, a decoupling AWC architecture, applicable to a broader class of nonlinear time-delay systems, is proposed for compensation of the undesirable saturation effects. Further, a correspondent decoupled architecture is derived and recommended for characterizing the delayed nonlinear AWC synthesis goals. By employing Lyapunov–Krasovskii functional, local sector condition, Lipschitz condition, L2 gain minimization, and the delay-interval information, several sufficient conditions are derived for the design of nonlinear time-delay AWC. Numerical examples for FitzHugh–Nagumo neuron and Hopfield neural network under input saturation and time-delay are presented to reveal effectiveness of the proposed anti-windup approach.