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Stability Analysis and Design of Uncertain Discrete‐time Switched Systems with Actuator Saturation Using Antiwindup and Multiple Lyapunov Functions Approach
Author(s) -
Zhang Xinquan,
Zhao Jun,
Li Xiaoyin
Publication year - 2017
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1364
Subject(s) - control theory (sociology) , lyapunov function , linear matrix inequality , convex optimization , actuator , discrete time and continuous time , compensation (psychology) , mathematics , stability (learning theory) , domain (mathematical analysis) , mathematical optimization , regular polygon , computer science , control (management) , nonlinear system , statistics , physics , quantum mechanics , artificial intelligence , machine learning , psychology , mathematical analysis , geometry , psychoanalysis
Abstract The stability analysis and anti‐windup design problem is investigated for a class of discrete‐time switched systems with saturating actuators by using the multiple Lyapunov functions approach. Firstly, we suppose that a set of linear dynamic output controllers have been designed to stabilize the switched system without input saturation. Then, we design anti‐windup compensation gains and a switching law in order to enlarge the domain of attraction of the closed‐loop system. Finally, the anti‐windup compensation gains and the estimation of domain of attraction are presented by solving a convex optimization problem with linear matrix inequality (LMI) constraints. A numerical example is given to demonstrate the effectiveness of the proposed design method.