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

  • Authors:
  • Dan Peng;Xinping Guan

  • Affiliations:
  • College of Science, Yanshan University, Qinhuangdao, People's Republic of China 066004;Institute of Electrical Engineering, Yanshan University, Qinhuangdao, People's Republic of China 066004

  • Venue:
  • Multidimensional Systems and Signal Processing
  • Year:
  • 2009

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Abstract

In this paper, we deal with delay-independent and delay-dependent H 驴 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 驴 filtering designs are developed to assure the stability and H 驴 performance 驴 of filtering error systems via LMIs' feasibility. Furthermore, the minimum H 驴 norm bound 驴 can be obtained by solving linear convex optimization problems. Numerical examples demonstrate the effectiveness and advantages of our results.