Delay-dependent robust H∞ filtering for uncertain 2-D state-delayed systems

  • Authors:
  • Shyh-Feng Chen;I-Kong Fong

  • Affiliations:
  • Department of Electrical Engineering, China Institute of Technology, Taipei, Taiwan 11581, ROC;Department of Electrical Engineering, National Taiwan University, Taipei, Taiwan 10617, ROC

  • Venue:
  • Signal Processing
  • Year:
  • 2007

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Abstract

For uncertain 2-D state-delayed systems in the Fornasini-Marchesini second model, this paper discusses the robust H"~ filtering problem. Both filter analysis and synthesis problems are considered. Firstly, a stability condition and an H"~-norm performance condition are derived. Then a set of delay-dependent sufficient conditions for the existence of desired robust H"~ filters is expressed in terms of linear matrix inequalities. A numerical example is given in the last to show the application of the proposed filter design method.