Robust H ∞ fuzzy filter design for uncertain nonlinear singularly perturbed systems with Markovian jumps:: An LMI approach

被引：96

作者：

Assawinchaichote, Wudhichai ^{[1
]}

Nguang, Sing Kiong ^{[2
]}

Shi, Peng ^{[3
]}

机构：

[1] King Mongkuts Univ Technol Thonburi, Dept Elect & Telecommun Engn, 1 Suksawads 48 Rd, Bangkok 10140, Thailand

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

[3] Univ Glamorgan, Sch Technol, Dept Math & Stat, Pontypridd CF37 1DL, M Glam, Wales

来源：

INFORMATION SCIENCES | 2007年 / 177卷 / 07期

关键词：

D O I：

10.1016/j.ins.2006.10.006

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 examines the problem of designing a robust H-infinity fuzzy filter for a singularly perturbed Takagi-Sugeno (TS) fuzzy system with Markovian jumps. Based on a linear matrix inequality (LMI) approach, sufficient conditions for the existence of a robust H-infinity fuzzy filter are derived in terms of a family of LMIs. To alleviate the numerical stiffness resulting from the interaction of slow and fast dynamic modes, solutions to the problem are given in terms of linear matrix inequalities which are independent of the singular perturbation P. The proposed approach does not involve the separation of states into slow and fast ones and it can be applied to both standard and nonstandard nonlinear singularly perturbed systems. A numerical example is provided to illustrate the design developed in this paper. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1699 / 1714

页数：16

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