A new H ∞ filter design for linear time delay systems

E. Fridman; Uri Shaked

doi:10.1109/78.960431

A new H _∞ filter design for linear time delay systems

E. Fridman^*, Uri Shaked

^*Corresponding author for this work

School of Electrical Engineering

IEEE

Research output: Contribution to journal › Article › peer-review

182 Scopus citations

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 language	English
Pages (from-to)	2839-2843
Number of pages	5
Journal	IEEE Transactions on Signal Processing
Volume	49
Issue number	11
DOIs	https://doi.org/10.1109/78.960431
State	Published - Nov 2001

Funding

Funders	Funder number
Ministry of Absorption of Israel
Tel Aviv University

Keywords

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

Access to Document

10.1109/78.960431

Cite this

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title = "A new H ∞ filter design for linear time delay systems",

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.",

keywords = "Bounded real lemma, Delay-dependent stability, H -filtering, Linear matrix inequalities, Time-delay systems",

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