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Title: Filtering for uncertain 2-D discrete systems with state delays
Authors: Wu, L
Wang, Z
Gao, H
Wang, C
Keywords: Filtering;H∞ norm;Linear matrix inequality (LMI);Time-delay;Two-dimensional (2-D) systems
Issue Date: 2007
Publisher: Elsevier
Citation: Signal Processing, 87(2): 2213-2230, Sep 2007
Abstract: This paper is concerned with the problem of robust H∞ filtering for two-dimensional (2-D) discrete systems with time-delays in states. The 2-D systems under consideration are described in terms of the well-known Fornasini–Marchesini local state-space (FMLSS) models with time-delays. Our attention is focused on the design of a full-order filter such that the filtering error system is guaranteed to be asymptotically stable with a prescribed H∞ disturbance attenuation performance. Sufficient conditions for the existence of desired filters are established by using a linear matrix inequality (LMI) approach, and the corresponding filter design problem is then cast into a convex optimization problem that can be efficiently solved by resorting to some standard numerical software. Furthermore, the obtained results are extended to more general cases where the system matrices contain either polytopic or norm-bounded parameter uncertainties. A simulation example is provided to illustrate the effectiveness of the proposed design method.
Description: This is the post print version of the article. The official published version can be obtained from the link below - Copyright 2007 Elsevier Ltd.
ISSN: 0165-1684
Appears in Collections:Computer Science
Dept of Computer Science Research Papers

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