Output Feedback H∞ Control for 2-D State-Delayed Systems

被引：44

作者：

Peng, Dan ^{[1
]}

Guan, Xinping ^{[2
]}

机构：

[1] Yanshan Univ, Coll Sci, Qinhuangdao 066004, Peoples R China

[2] Yanshan Univ, Inst Elect Engn, Qinhuangdao 066004, Peoples R China

来源：

CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2009年 / 28卷 / 01期

基金：

芬兰科学院; 中国国家自然科学基金;

关键词：

2-D state-delayed systems; H-infinity disturbance attenuation; Output feedback controller; Delay-independent; Delay-dependent; LMI; GUARANTEED COST CONTROL; ROBUST STABILITY; LINEAR-SYSTEMS; TIME; STABILIZATION;

D O I：

10.1007/s00034-008-9074-3

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper, we consider a class of two-dimensional (2-D) local state-space (LSS) Fornasini-Marchesini (FM) second models with delays in the states, and we study delay-independent and delay-dependent H (az) control problems via output feedback. First, based on the definition of H (az) disturbance attenuation gamma for 2-D state-delayed systems, we propose a delay-dependent bounded real lemma. Specifically, a new Lyapunov functional candidate is introduced and free-weighting matrices are added to the difference Lyapunov functional for 2-D systems possessing two directions. Then delay-independent and delay-dependent output feedback H (az) controllers are developed that ensure that the closed-loop system is asymptotically stable and has H (az) performance gamma in terms of linear matrix inequality (LMI) feasibility. Furthermore, the minimum H (az) norm bound gamma is obtained by solving linear objective optimization problems. Numerical examples demonstrate the effectiveness and advantages of the LMI approach to H (az) control problems for 2-D state-delayed systems.

引用

页码：147 / 167

页数：21

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