Non-fragile robust stabilization and H∞ control for uncertain stochastic nonlinear time-delay systems

被引：30
|
作者：
Zhang, Jinhui [1 ]
Shi, Peng [2 ,3 ,4 ]
Yang, Hongjiu [1 ]
机构：
[1] Beijing Inst Technol, Dept Automat Control, Beijing 100081, Peoples R China
[2] Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
[3] Victoria Univ, Sch Sci & Engn, ILSCM, Melbourne, Vic 8001, Australia
[4] Univ S Australia, Sch Math & Stat, Mawson Lakes, SA 5095, Australia
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 42卷 / 05期
基金：
英国工程与自然科学研究理事会;
关键词：
DEPENDENT EXPONENTIAL STABILITY; GUARANTEED COST CONTROL; LMI-BASED APPROACH; NEURAL-NETWORKS; LINEAR-SYSTEMS; MULTIPLE STATE; CRITERIA;
D O I：
10.1016/j.chaos.2009.04.049
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with the problem of non-fragile robust stabilization and H-infinity control for a class of uncertain stochastic nonlinear time-delay systems. The parametric uncertainties are real time-varying as well as norm bounded. The time-delay factors are unknown and time-varying with known bounds. The aim is to design a memoryless non-fragile state feedback control law such that the closed-loop system is stochastically asymptotically stable in the mean square and the effect of the disturbance input on the controlled output is less than a prescribed level for all admissible parameter uncertainties. New sufficient conditions for the existence Of Such controllers are presented based on the linear matrix inequalities (LMIs) approach. Numerical example is given to illustrate the effectiveness of the developed techniques. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3187 / 3196
页数：10
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