Robust H filtering of linear systems with time-varying delay

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A robust delay-dependent H filtering design is proposed for linear continuous systems with parameter uncertainty and time-varying delay. The resulting filter is of the general linear observer type and it guarantees that the induced L2-norm of the system, relating the exogenous signals to the estimation error, is less than a prescribed level for all possible parameters that reside in a given polytope. Our design is based on the application of the descriptor model transformation and Park's inequality for the bounding of cross terms and is expected to be the least conservative as compared to existing design methods. A numerical example indeed demonstrates this advantage of the new filtering scheme.

Original languageEnglish
Pages (from-to)159-165
Number of pages7
JournalIEEE Transactions on Automatic Control
Issue number1
StatePublished - Jan 2003


  • Bounded-real lemma
  • Delay-dependent stability
  • Linear matrix inequalities (LMIs)
  • Robust H filtering
  • Time-delay systems


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