Reduced-order l2-l∞ filtering for discrete-time T-S fuzzy systems with stochastic perturbation

被引：15

作者：

Peng, Tong ^{[1
]}

Yang, Xiaozhan ^{[2
]}

Wu, Ligang ^{[2
]}

Pang, Baojun ^{[1
]}

机构：

[1] Harbin Inst Technol, Hyperveloc Impact Res Ctr, Harbin 150006, Peoples R China

[2] Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150006, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2015年 / 46卷 / 01期

关键词：

convex linearisation; projection lemma; Takagi-Sugeno (T-S) fuzzy systems; l(2)-l(infinity) filtering; reduced-order filter; H-INFINITY CONTROL; MATRIX INEQUALITY APPROACH; DELAY SYSTEMS; MISSING MEASUREMENTS; NONLINEAR-SYSTEMS; CONTROL DESIGN; VARYING DELAY; STABILITY;

D O I：

10.1080/00207721.2013.775393

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 is concerned with the problem of l(2)-l(infinity) filtering for discrete-time Takagi-Sugeno (T-S) fuzzy systems with stochastic perturbation. Firstly, a basis-dependent existence condition of desirable l(2)-l(infinity) filters is proposed. Then by means of the convex linearisation technique, the derived condition is transformed into some strict linear matrix inequality (LMI) constraints, by which both full- and reduced-order filters can be designed. Moreover, for the reduced-order l(2)-l(infinity) filter design, a novel analysis and design method with the projection lemma is also provided. Finally, a numerical example is provided to illustrate the feasibility and effectiveness of the proposed full- and reduced-order l(2)-l(infinity) filter design methods.

引用

页码：179 / 192

页数：14

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