Delay-dependent nonfragile guaranteed cost control for nonlinear time-delay systems

被引：45
|
作者：
Xie, N
Tang, GY [1 ]
机构：
[1] Ocean Univ China, Coll Informat Sci & Engn, Qingdao 266071, Peoples R China
[2] Shandong Univ Technol, Sch Comp Sci & Technol, Zibo 255049, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2006年 / 64卷 / 09期
基金：
中国国家自然科学基金;
关键词：
nonlinear systems; uncertain systems; nonfragile guaranteed cost control; multiple time delays; linear matrix inequality;
D O I：
10.1016/j.na.2005.08.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper concerns the nonfragile guaranteed cost control problem for a class of nonlinear dynamic systems with multiple time delays and controller gain perturbations. Guaranteed cost control law is designed under two classes of perturbations, namely, additive form and multiplicative form. The problem is to design a memoryless state feedback control law such that the closed-loop system is asymptotically stable and the closed-loop cost function value is not more than a specified upper bound for all admissible uncertainties. Based on the linear matrix inequality (LMI) approach, some delay-dependent conditions for the existence of such controller are derived. A numerical example is given to illustrate the proposed method. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2084 / 2097
页数：14
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