Robust H∞ control for T-S fuzzy systems with probabilistic interval time varying delay

被引：10

作者：

Hu, Songlin ^{[2
]}

Zhang, Yunning ^{[1
]}

Du, Zhaoping ^{[3
]}

机构：

[1] China Three Gorges Univ, Sch Elect Engn & Renewable Energy, Yichang 443002, Peoples R China

[2] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China

[3] Jiangsu Univ Sci & Technol, Coll Elect & Informat, Zhenjiang 212003, Peoples R China

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2012年 / 6卷 / 03期

关键词：

T-S model; Probability distribution; Time varying delay; Lyapunov-Krasovskii functional; NETWORKED CONTROL-SYSTEMS; STABILITY-CRITERIA; UNCERTAIN SYSTEMS; STABILIZATION; DESIGNS; STATE;

D O I：

10.1016/j.nahs.2012.02.002

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we are concerned with the problem of robust H-infinity control for the Takagi-Sugeno (T-S) fuzzy system with probabilistic interval time-varying state delay. Considering the distribution property of time-varying delay, a new stochastic fuzzy model is first proposed. Then, a delay-distribution-dependent H-infinity performance analysis result is established for the closed-loop stochastic fuzzy systems via the Lyapunov-Krasovskii functional method and linear matrix inequality (LMI) technique. Based on the derived performance analysis results, H-infinity controller is designed in terms of LMIs. An illustrative example is proposed to show the effectiveness and feasibility of the proposed method. Crown Copyright (c) 2012 Published by Elsevier Ltd. All rights reserved.

引用

页码：871 / 884

页数：14

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