H∞ control of linear uncertain time-delay systems - A projection approach

Vladimir Suplin; Emilia Fridman; Uri Shaked

doi:10.1109/TAC.2006.872767

H∞ control of linear uncertain time-delay systems - A projection approach

Vladimir Suplin^*, Emilia Fridman, Uri Shaked

^*Corresponding author for this work

School of Electrical Engineering

Tel Aviv University

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

137 Scopus citations

Abstract

The issues of stability and H∞ control of linear systems with time-varying delays are considered. Based on the Lyapunov-Krasovskii approach and on Finsler's projection lemma, delay-dependent sufficient conditions are obtained, in terms of linear matrix inequalities (LMIs), for the stability of these systems. These conditions generalize previous results that were derived using either the descriptor approach or the first and the third model transformations. The obtained criteria are extended to deal with: stabilizability, the bounded real lemma and the H∞ state-feedback control.

Original language	English
Pages (from-to)	680-685
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	51
Issue number	4
DOIs	https://doi.org/10.1109/TAC.2006.872767
State	Published - Apr 2006

Keywords

Lyapunov-Krasovskii approach
Neutral systems
Robust H∞ control
Time-delay systems

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10.1109/TAC.2006.872767

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abstract = "The issues of stability and H∞ control of linear systems with time-varying delays are considered. Based on the Lyapunov-Krasovskii approach and on Finsler's projection lemma, delay-dependent sufficient conditions are obtained, in terms of linear matrix inequalities (LMIs), for the stability of these systems. These conditions generalize previous results that were derived using either the descriptor approach or the first and the third model transformations. The obtained criteria are extended to deal with: stabilizability, the bounded real lemma and the H∞ state-feedback control.",

keywords = "Lyapunov-Krasovskii approach, Neutral systems, Robust H∞ control, Time-delay systems",

author = "Vladimir Suplin and Emilia Fridman and Uri Shaked",

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H∞ control of linear uncertain time-delay systems - A projection approach

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