Robust stability and stabilization of a class of singular systems with multiple time-varying delays
| Authors: | Saadni Mohamed Salah, Université de Poitiers, France
Chaabane M., University of Sfax, Tunisia
Mehdi D., Université de Poitiers, France
Bachelier O., Université de Poitiers, France |
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| Topic: | 2.5 Robust Control |
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| Session: | Robust Controller Synthesis |
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| Keywords: | singular systems, multiple time-varying delays, robust stability, robust stabilization, linear matrix inequality. |
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Abstract
This paper deals with the problem of robust stability andstabilization for uncertain continuous singular systems withmultiple time-varying delays. The parametric uncertainty isassumed to be norm bounded. The purpose of the robust stabilityproblem is to give conditions such that the uncertain singularsystem is regular, impulse free, and stable for all admissibleuncertainties. The purpose of the robust stabilization problem isto design a feedback control law such that theresulting closed-loop system is robustly stable. This problem issolved via generalized quadratic stability approach. A strictlinear matrix inequality (LMI) design approach is developed.
