Stability Analysis and Design of Uncertain Discrete-time Switched Systems with Actuator Saturation Using Antiwindup and Multiple Lyapunov Functions Approach

被引：11

作者：

Zhang, Xinquan ^{[1
]}

Zhao, Jun ^{[2
]}

Li, Xiaoyin ^{[3
]}

机构：

[1] Liaoning Shihua Univ, Sch Informat & Control Engn, Fushun 113001, Peoples R China

[2] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Peoples R China

[3] Liaoning Shihua Univ, Sch Foreign Languages, Fushun 113001, Peoples R China

来源：

ASIAN JOURNAL OF CONTROL | 2017年 / 19卷 / 01期

关键词：

Anti-windup; switched systems; saturating actuators; multiple Lyapunov functions; domain of attraction; LMI; LINEAR-SYSTEMS; STABILIZATION; L-2-GAIN;

D O I：

10.1002/asjc.1364

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：325 / 331

页数：7

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