H az Fuzzy Filtering for Discrete-Time Nonlinear Systems via Fuzzy Lyapunov Function Approach

被引：5
作者：
Zhang, Jinhui [1 ]
Xia, Yuanqing [1 ]
Shi, Peng [2 ]
Wang, Lin [1 ]
机构：
[1] Beijing Inst Technol, Dept Automat Control, Beijing 100081, Peoples R China
[2] Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
来源：
CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2009年 / 28卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Discrete-time systems; H-infinity filtering; LMI; Fuzzy Lyapunov function; Takagi-Sugeno fuzzy model; UNCERTAIN SYSTEMS; POLYTOPIC UNCERTAINTIES; STOCHASTIC-SYSTEMS; LINEAR-SYSTEMS; INFINITY; DESIGN; DELAY; STATE;
D O I：
10.1007/s00034-008-9082-3
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This paper is concerned with the H (az) fuzzy filtering problem for a class of discrete-time fuzzy systems. The objective is to design a stable filter guaranteeing the asymptotic stability and a prescribed H (az) performance of the filtering error system. Motivated by the parallel distributed compensation (PDC) technique, a new filter model is proposed in this paper. Both full-order and reduced-order filters are established, and they can be obtained from the solution of convex optimization problems in terms of linear matrix inequalities (LMIs). When these LMIs are feasible, an explicit expression of a desired H (az) fuzzy filter is given. A numerical example is provided to demonstrate the effectiveness and applicability of the proposed design approach.
引用
收藏
页码：205 / 221
页数：17
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