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Dynamic Controller of Switched Linear Systems : a Common Lyapunov Function Approach

Salim Chaib 1 Driss Boutat 1 Abderraouf Benali 1 Frédéric Kratz 1
1 PRISME - Laboratoire Pluridisciplinaire de Recherche en Ingénierie des Systèmes, Mécanique et Energétique
Abstract : This paper is devoted to the problem of design a dynamic controller of switched linear systems. In the first part of this paper, we give some remarks about the influences of switching signal on the asymptotic stability of switched systems. We give a practical example to generate a large class of switching signals. The second part is devoted to the switched dynamic controller design, based on a common Lyapunov function approach. A sufficient condition is formulated as an LMI problem for the switched controller design under arbitrary switching. A stabilizing switched controller with regional pole placements is also formulated as a convex problem, an LMI approach is used to derive the switched dynamic controller with performance limitations
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Conference papers
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https://hal.inria.fr/hal-01056286
Contributor : Abderraouf Benali <>
Submitted on : Monday, August 18, 2014 - 2:56:37 PM
Last modification on : Friday, October 26, 2018 - 12:06:03 PM

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  • HAL Id : hal-01056286, version 1

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UNIV-ORLEANS | MSL | TDS-MACS | MSL-THESE | PRISME-CVL

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Salim Chaib, Driss Boutat, Abderraouf Benali, Frédéric Kratz. Dynamic Controller of Switched Linear Systems : a Common Lyapunov Function Approach. IEEE Conference on Decision and Control, Dec 2006, San Diego, United States. pp.125-130. ⟨hal-01056286⟩

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