Robust mixed ℋ2/ℋ∞ filteringof 2-D systems

  • Authors:
  • H.D. Tuan;P. Apkarian;T.Q. Nguyen;T. Narikiyo

  • Affiliations:
  • Dept. of Electr. & Comput. Eng., Toyota Technol. Inst., Nagoya;-;-;-

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 2002

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Abstract

This paper deals with several challenging problems of robust filtering for two-dimensional (2-D) systems. First of all, new linear matrix inequality (LMI) characterizations for the ℋ∞ and ℋ2 norms of 2-D systems are introduced and thoroughly established. Based on these preparatory results, convex (LMI) characterizations for robust ℋ∞, ℋ2, and robust mixed ℋ2/ℋ∞ filtering are derived. The efficiency and viability of the proposed techniques and tools are demonstrated through a set of numerical examples