Open AccessOne Step Anti-Windup Design for Nonlinear Systems: An Indirect LMI-Based Approach
Author(s) -
Li Haojie,
Huacan He,
Miao Zha
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/631/5/052022
Subject(s) - control theory (sociology) , linear matrix inequality , nonlinear system , mathematics , actuator , lyapunov function , stability (learning theory) , computer science , mathematical optimization , control (management) , physics , quantum mechanics , artificial intelligence , machine learning
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.