State feedback H∞ control for discrete 2D switched systems

被引：37

作者：

Duan, Zhaoxia ^{[1
]}

Xiang, Zhengrong ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2013年 / 350卷 / 06期

基金：

中国国家自然科学基金;

关键词：

YAKUBOVICH-POPOV LEMMA; HYBRID CONTROL; STABILITY; STABILIZATION; DESIGN;

D O I：

10.1016/j.jfranklin.2013.04.001

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates the state feedback H-infinity stabilization problem for a class of discrete-time 2D (two-dimensional) switched systems represented by a model of Roesser type. First, sufficient conditions for the asymptotical stability and H-infinity disturbance attenuation performance of the underlying system are derived via common Lyapunov function approach and multiple Lyapunov function approach, respectively. Then, based on the obtained stability results, two state feedback controller design methods are proposed to guarantee that the resulting closed-loop system is asymptotically stable and achieves a prescribed disturbance attenuation level gamma. Finally, two numerical examples are provided to verify the effectiveness of the proposed methods. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：1513 / 1530

页数：18