Robust finite-time fuzzy H∞ control for uncertain time-delay systems with stochastic jumps

被引：40

作者：

Zhang, Yingqi ^{[1
]}

Shi, Peng ^{[2
,3
]}

Nguang, Sing Kiong ^{[4
]}

Karimi, Hamid Reza ^{[5
]}

Agarwal, Ramesh K. ^{[6
]}

机构：

[1] Henan Univ Technol, Coll Sci, Zhengzhou 450001, Peoples R China

[2] Univ Adelaide, Sch Elect & Elect Engn, Adelaide, SA 5005, Australia

[3] Victoria Univ, Coll Engn & Sci, Melbourne, Vic 8001, Australia

[4] Univ Auckland, Dept Elect & Comp Engn, Auckland 1142, New Zealand

[5] Univ Agder, Fac Sci & Engn, Dept Engn, N-4898 Grimstad, Norway

[6] Washington Univ, Dept Mech Engn, St Louis, MO 63130 USA

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2014年 / 351卷 / 08期

基金：

中国国家自然科学基金;

关键词：

NONLINEAR-SYSTEMS; FILTER DESIGN; STABILITY ANALYSIS; STABILIZATION;

D O I：

10.1016/j.jfranklin.2014.04.004

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 problem of robust finite-time Ho. control for a class of uncertain discrete-time Markovian jump nonlinear systems with time-delays represented by Takagi-Sugeno (T-S) model. Initially, the concepts of stochastic finite-time boundedness and stochastic finite-time H-infinity stabilization are presented. Then, by using stochastic Lyapunov-Krasovskii functional approach, sufficient conditions are derived such that the resulting close-loop system is stochastically finite-time bounded and satisfies a prescribed Ho. disturbance attenuation level in a given finite-time interval. Furthermore, sufficient criteria on stochastic finite-time Ho. stabilization using a fuzzy state-feedback controller are provided, and the controller is designed by solving an optimization problem in terms of linear matrix inequalities. Finally, two numerical examples are exploited to show the validity of the proposed design techniques. (C) 2014 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：4211 / 4229

页数：19

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