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H ∞ filtering of 2-D discrete state-delayed systems

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Abstract

In this paper, we deal with delay-independent and delay-dependent H ∞ filtering problems for a class of two-dimensional (2-D) discrete time-invariant systems with state delays. The 2-D systems are described by local state-space (LSS) Fornasini–Marchesini (FM) second model. First, delay-dependent bounded real lemma is proposed through introducing free weighting matrices. Then the delay-independent and delay-dependent H ∞ filtering designs are developed to assure the stability and H ∞ performance γ of filtering error systems via LMIs’ feasibility. Furthermore, the minimum H ∞ norm bound γ can be obtained by solving linear convex optimization problems. Numerical examples demonstrate the effectiveness and advantages of our results.

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Authors and Affiliations

  1. College of Science, Yanshan University, Qinhuangdao, 066004, People’s Republic of China

    Dan Peng

  2. Institute of Electrical Engineering, Yanshan University, Qinhuangdao, 066004, People’s Republic of China

    Xinping Guan

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  1. Dan Peng
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  2. Xinping Guan
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Correspondence to Dan Peng.

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Peng, D., Guan, X. H ∞ filtering of 2-D discrete state-delayed systems. Multidim Syst Sign Process 20, 265–284 (2009). https://doi.org/10.1007/s11045-008-0064-1

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  • DOI: https://doi.org/10.1007/s11045-008-0064-1

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