H∞ filtering of network-based systems with random delay

  • Authors:
  • Hongbo Song;Li Yu;Wen-An Zhang

  • Affiliations:
  • Department of Automation, Zhejiang University of Technology, Hangzhou 310032, PR China;Department of Automation, Zhejiang University of Technology, Hangzhou 310032, PR China;Department of Automation, Zhejiang University of Technology, Hangzhou 310032, PR China

  • Venue:
  • Signal Processing
  • Year:
  • 2009

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Abstract

The H"~ filtering problem is studied for a class of network-based systems with random delay in discrete-time domain. A new model is proposed to describe the filtering system with random sensor-filter delay which may be longer than one sampling period. The random delay is modeled as a Markov chain and the resulting filtering error system is a Markovian switched system with random state delay. By using a properly constructed Lyapunov function and the state transform technique, sufficient conditions for the existence of the H"~ filters are presented in terms of linear matrix inequalities. An optimization problem with LMIs constraints is formulated to design the H"~ filter which guarantees that the filtering error system is mean-square exponentially stable with a prescribed decay rate and ensures an optimal H"~ disturbance attenuation level. An illustrative example is given to demonstrate the effectiveness of the proposed results.