Stabilization of time-delay systems through linear differential equations using a descriptor representation

Alexandre Seuret; Karl Henrik Johansson

inria-00391311, version 1

Stabilization of time-delay systems through linear differential equations using a descriptor representation

Alexandre Seuret ()^a^, 1, 2, Karl Henrik Johansson ³

European Control Conference, ECC'09 (2009)

Résumé : In this article, a new method to assess stability and to design static state feedback controller for linear timedelay systems is introduced. The method based on linear differential equations allows considering explicit Lyapunov-Krasovskii functionals with non constant matrix parameters. The stability conditions considering constant delays are delaydependent and expressed using easy computable linear matrix inequalities. An example is introduced to show the efficiency of the stabilization criteria.

a – CNRS
1 : Grenoble Images Parole Signal Automatique (GIPSA-lab)
CNRS : UMR5216 – Université Joseph Fourier - Grenoble I – Université Pierre-Mendès-France - Grenoble II – Université Stendhal - Grenoble III – Institut Polytechnique de Grenoble - Grenoble Institute of Technology
2 : NeCS (INRIA Grenoble Rhône-Alpes / Gipsa-lab)
CNRS : UMR5216 – INRIA – Gipsa-lab – Université Joseph Fourier - Grenoble I – Institut National Polytechnique de Grenoble (INPG)
3 : Automatic Control Group [Lund]
Lund University

inria-00391311, version 1
http://hal.inria.fr/inria-00391311
oai:hal.inria.fr:inria-00391311
Contributeur : Alexandre Seuret <>
Soumis le : Mercredi 3 Juin 2009, 17:11:15
Dernière modification le : Jeudi 13 Décembre 2012, 14:34:57

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