Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/87489
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Type: Journal article
Title: Robust H∞ filtering for 2-D systems with intermittent measurements
Other Titles: Robust H-infinity filtering for 2-D systems with intermittent measurements
Author: Liu, X.
Gao, H.
Shi, P.
Citation: Circuits, Systems and Signal Processing, 2009; 28(2):283-303
Publisher: SP Birkhäuser Verlag Boston
Issue Date: 2009
ISSN: 0278-081X
1531-5878
Statement of
Responsibility: 
Xiuming Liu, Huijun Gao, Peng Shi
Abstract: This paper is concerned with the problem of robust H ∞ filtering for uncertain two-dimensional (2-D) systems with intermittent measurements. The parameter uncertainty is assumed to be of polytopic type, and the measurements transmission is assumed to be imperfect, which is modeled by a stochastic variable satisfying the Bernoulli random binary distribution. Our attention is focused on the design of an H ∞ filter such that the filtering error system is stochastically stable and preserves a guaranteed H ∞ performance. This problem is solved in the parameter-dependent framework, which is much less conservative than the quadratic approach. By introducing some slack matrix variables, the coupling between the positive definite matrices and the system matrices is eliminated, which greatly facilitates the filter design procedure. The corresponding results are established in terms of linear matrix inequalities, which can be easily tested by using standard numerical software. An example is provided to show the effectiveness of the proposed approach.
Keywords: 2-D system; H ∞ filtering; Intermittent measurements; Linear matrix inequality; Robust filtering
Rights: © Birkhäuser Boston 2008
RMID: 0020128240
DOI: 10.1007/s00034-008-9081-4
Appears in Collections:Electrical and Electronic Engineering publications

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