Stability Analysis and Anti-Windup Design for Discrete-Time Systems by a Saturation-Dependent Lyapunov Function Approach

Authors:	Wang Yongqiang, Zhejiang University, China Cao Yong-Yan, Zhejiang University, China Sun You-Xian, Zhejiang University, China
Topic:	2.3 Non-Linear Control Systems
Session:	Control of Nonlinear Saturating Systems
Keywords:	Set invariance, Saturation-dependent Lyapunov function, Anti-windup

Abstract

This paper deals with the stability analysis and anti-windup design ofdiscrete-time systems subject to actuator saturation. We present a newsaturation-dependent Lyapunov function to estimate the domain of attraction,which is then formulated and solved as a constrained LMI optimizationproblem. Further we propose an anti-windup compensation method to enlargethe domain of attraction in the presence of saturation. Numerical examplesare presented to show the effectiveness of the proposed method.