Nonlinear dynamic regional anti-windup compensator (RAWC) schema for constrained nonlinear systems

Abstract

This paper concentrate on the study of the synthesis of regional anti-windup compensator (RAWC) for saturated nonlinear control system, by using quadratic Lyapunov functional, an estimate region of convergence, regional modified sector condition and Lipschitz condition. Further L2 gain minimization is employed to minimize L2 gain of the decoupled nonlinear component. Based on linear matrix inequality (LMI) condition, it is revealed that for stable and unstable nonlinear system, the RAWC can accomplish exponential and L2 exponential stability. Two numerical examples are used to demonstrate the effectiveness of the suggested anti-windup methodology.