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
收藏
页码：179 / 192
页数：14
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