Parameter-dependent robust H filtering for uncertain discrete-time systems

Jinhui Zhang*, Yuanqing Xia, Peng Shi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

95 Citations (Scopus)

Abstract

This paper is concerned with the problem of parameter-dependent H filtering for discrete-time systems with polytopic uncertainties. The uncertain parameters are supposed to reside in a polytope. Being different from previous results in the quadratic framework, the parameter-dependent Lyapunov function is used in this paper. Both full- and reduced-order filters are designed, which guarantee the asymptotic stability and a prescribed H performance level. The filter parameters can be obtained from the solution of convex optimization problems in terms of linear matrix inequalities, which can be solved via efficient interior-point algorithms. Numerical examples are presented to illustrate the feasibility and less conservativeness of the proposed method.

Original languageEnglish
Pages (from-to)560-565
Number of pages6
JournalAutomatica
Volume45
Issue number2
DOIs
Publication statusPublished - Feb 2009

Keywords

  • Discrete-time systems
  • H filtering
  • Linear matrix inequality
  • Polytopic systems

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