l2-l∞ filter design for discrete-time singular Markovian jump systems with time-varying delays

  • Authors:

  • Zheng-Guang Wu;Peng Shi;Hongye Su;Jian Chu

  • Affiliations:

  • National Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Yuquan Campus, Hangzhou, Zhejiang 310027, PR China;Department of Computing and Mathematical Sciences, University of Glamorgan, Pontypridd CF37 1DL, UK and School of Engineering and Science, Victoria University, Melbourne, 8001 Vic., Australia;National Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Yuquan Campus, Hangzhou, Zhejiang 310027, PR China;National Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Yuquan Campus, Hangzhou, Zhejiang 310027, PR China

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2011

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Abstract

The problem of l"2-l"~ filter design for discrete-time singular systems with Markovian jump and time-varying delays is investigated in this paper. By using the delay partitioning technique, a delay-dependent condition is established to guarantee the filtering error systems to be stochastically admissible and achieve a prescribed l"2-l"~ performance index. Based on the derived condition, the full-order and reduced-order filters with mode-independent characterization are designed in a unified framework. The corresponding filter parameters can be obtained by solving a set of linear matrix inequalities. The reported results not only depend upon the delay, but also depend upon the partitioning, which aims at reducing the conservatism. Two numerical examples are provided to illustrate the effectiveness of the proposed methods.