Stability and stabilization of continuous descriptor systems: An LMI approach

Stability and stabilization of continuous descriptor systems: An LMI approach

This paper deals with the problems of robust stability and stabilization for uncertain continuous descriptor systems. We propose a new necessary and sufficient condition in terms of a strict linear matrix inequality (LMI) for a nominal continuous descriptor system to be admissible (stable, regular,...

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Main Authors: M. Chaabane, O. Bachelier, M. Souissi, D. Mehdi
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/MPE/2006/39367
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spelling doaj-2ab60896836f4d6198bb6f9f4fe58d0e2020-11-24T20:53:55ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472006-01-01200610.1155/MPE/2006/3936739367Stability and stabilization of continuous descriptor systems: An LMI approachM. Chaabane0O. Bachelier1M. Souissi2D. Mehdi3Automatic Control Unit, Sfax Preparatory Institute for Engineering Studies (IPEIS), Sfax University, BP 805, Sfax 3018, TunisiaLaboratory of Automatic Control and Computer Science for Industry (LAII), Higher Engineering School of Poitiers (ESIP), University of Poitiers, 40 Avenue du Recteur Pineau, Poitiers Cedex 86022, FranceAutomatic Control Unit, Sfax Preparatory Institute for Engineering Studies (IPEIS), Sfax University, BP 805, Sfax 3018, TunisiaLaboratory of Automatic Control and Computer Science for Industry (LAII), Higher Engineering School of Poitiers (ESIP), University of Poitiers, 40 Avenue du Recteur Pineau, Poitiers Cedex 86022, FranceThis paper deals with the problems of robust stability and stabilization for uncertain continuous descriptor systems. We propose a new necessary and sufficient condition in terms of a strict linear matrix inequality (LMI) for a nominal continuous descriptor system to be admissible (stable, regular, and impulse-free). Based on this, the state-feedback admissibility problem is solved and the solution is extended to the case of uncertain descriptor systems. Finally, numerical examples are given to illustrate the results.http://dx.doi.org/10.1155/MPE/2006/39367
collection DOAJ
language English
format Article
sources DOAJ
author M. Chaabane
O. Bachelier
M. Souissi
D. Mehdi
spellingShingle M. Chaabane
O. Bachelier
M. Souissi
D. Mehdi
Stability and stabilization of continuous descriptor systems: An LMI approach
Mathematical Problems in Engineering
author_facet M. Chaabane
O. Bachelier
M. Souissi
D. Mehdi
author_sort M. Chaabane
title Stability and stabilization of continuous descriptor systems: An LMI approach
title_short Stability and stabilization of continuous descriptor systems: An LMI approach
title_full Stability and stabilization of continuous descriptor systems: An LMI approach
title_fullStr Stability and stabilization of continuous descriptor systems: An LMI approach
title_full_unstemmed Stability and stabilization of continuous descriptor systems: An LMI approach
title_sort stability and stabilization of continuous descriptor systems: an lmi approach
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2006-01-01
description This paper deals with the problems of robust stability and stabilization for uncertain continuous descriptor systems. We propose a new necessary and sufficient condition in terms of a strict linear matrix inequality (LMI) for a nominal continuous descriptor system to be admissible (stable, regular, and impulse-free). Based on this, the state-feedback admissibility problem is solved and the solution is extended to the case of uncertain descriptor systems. Finally, numerical examples are given to illustrate the results.
url http://dx.doi.org/10.1155/MPE/2006/39367
work_keys_str_mv AT mchaabane stabilityandstabilizationofcontinuousdescriptorsystemsanlmiapproach
AT obachelier stabilityandstabilizationofcontinuousdescriptorsystemsanlmiapproach
AT msouissi stabilityandstabilizationofcontinuousdescriptorsystemsanlmiapproach
AT dmehdi stabilityandstabilizationofcontinuousdescriptorsystemsanlmiapproach
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