A new H filter design for linear time delay systems

E. Fridman*, Uri Shaked

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

A new delay-dependent H infin; filtering design is proposed for linear, continuous, time-invariant systems with time delay. The obtained filter is of the Luenberger observer type. The design guarantees that the H -norm of the system, relating the exogenous signals to the estimation error, is less than a prescribed level. The filter is based on the application of a newly derived version of the bounded real lemma for time-delayed systems. This novel approach is compared, via an example, with another solution that appears in the literature.

Original languageEnglish
Pages (from-to)2839-2843
Number of pages5
JournalIEEE Transactions on Signal Processing
Volume49
Issue number11
DOIs
StatePublished - Nov 2001

Funding

FundersFunder number
Ministry of Absorption of Israel
Tel Aviv University

    Keywords

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

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