One Step Anti-Windup Design for Nonlinear Systems: An Indirect LMI-Based Approach

Abstract

This paper proposes an indirect linear matrix inequality (LMI) approach to design one step anti-windup dynamic output feedback compensator for a class of nonlinear systems subject to actuator saturation. When the system state satisfies certain conditions, the nonlinear system can be reconstructed accurately by T-S fuzzy model, based on Lyapunov stability analysis and a result about matrix inequality, we show that the feasibility of an LMI guarantees the solvability of the corresponding one step anti-windup compensator. Once the solvability issue is determined, then we give an algorithm of one step anti-windup nonlinear dynamic output feedback compensator. The effectiveness of the proposed method is illustrated with numerical example.