Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/86117
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Type: Journal article
Title: H∞ fuzzy filtering for discrete-time nonlinear systems via fuzzy Lyapunov function approach
Other Titles: H-infinity fuzzy filtering for discrete-time nonlinear systems via fuzzy Lyapunov function approach
Author: Zhang, J.
Xia, Y.
Shi, P.
Wang, L.
Citation: Circuits Systems and Signal Processing, 2009; 28(2):205-221
Publisher: SP Birkhäuser Verlag Boston
Issue Date: 2009
ISSN: 0278-081X
1531-5878
Statement of
Responsibility: 
Jinhui Zhang, Yuanqing Xia, Peng Shi, Lin Wang
Abstract: This paper is concerned with the H ∞ 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 ∞ 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 ∞ fuzzy filter is given. A numerical example is provided to demonstrate the effectiveness and applicability of the proposed design approach.
Keywords: Discrete-time systems; H ∞ filtering; LMI; Fuzzy Lyapunov function; Takagi–Sugeno fuzzy model
Rights: © Birkhäuser Boston 2008
RMID: 0020128100
DOI: 10.1007/s00034-008-9082-3
Appears in Collections:Electrical and Electronic Engineering publications

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