Finite-time H∞ fuzzy control of nonlinear Markovian jump delayed systems with partly uncertain transition descriptions

被引：160

作者：

Cheng, Jun ^{[1
]}

Park, Ju H. ^{[2
]}

Liu, Yajuan ^{[2
]}

Liu, Zhijun ^{[1
]}

Tang, Liming ^{[1
]}

机构：

[1] Hubei Univ National, Sch Sci, Enshi 445000, Hunan, Peoples R China

[2] Yeungnam Univ, Dept Elect Engn, 280 Daehak Ro, Kyongsan 38541, South Korea

来源：

FUZZY SETS AND SYSTEMS | 2017年 / 314卷

基金：

新加坡国家研究基金会; 湖北省教育厅重点项目;

关键词：

Finite-time boundedness; Takagi-Sugeno fuzzy model; Fuzzy control; Lyapunov-Krasovskii functional; Nonlinear Markovian jump delayed system; SYNCHRONIZATION; STABILITY; NETWORKS; SUBJECT;

D O I：

10.1016/j.fss.2016.06.007

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper addresses a finite-time H-infinity fuzzy control problem for a class of nonlinear Markovian jump delayed systems with partly uncertain transition descriptions, which is represented as a Takagi Sugeno (T S) fuzzy model. A new homogeneous polynomial of partly uncertain transition rates is chosen. Free-matrix-based and double integral forms of the Wirtinger-based integral inequalities are employed to make the proposed approach less conservative. Then sufficient conditions are derived such that the fuzzy nonlinear Makovian jump delayed system exhibits stochastic finite-time boundedness. Finally, two numerical examples are given to illustrate the effectiveness of the proposed design methodology. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：99 / 115

页数：17

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