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Article Dans Une Revue Journal of The Franklin Institute Année : 2011

Parametrization of extended stabilizing controllers for continuous-time descriptor systems

Résumé

This paper investigates the extended stabilization control problem for continuous-time descriptor systems (also refereed to as singular systems, implicit systems or generalized state-space systems) where unstable and nonproper weighting filters are used. In such nonstandard problem, the desired controller, called the extended stabilizing controller, has to satisfy two conditions simultaneously: (i) the closed-loop is admissible; (ii) only the internal stability of a part of the closed-loop is required. In terms of two generalized Sylvester-type equations, necessary and sufficient conditions for the existence of an observer-based extended stabilizing controller are given. Moreover, a parametrization of the class of extended stabilizing controllers is formulated.
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Dates et versions

hal-00625555 , version 1 (22-09-2011)

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  • HAL Id : hal-00625555 , version 1

Citer

Yu Feng, Mohamed Yagoubi, Philippe Chevrel. Parametrization of extended stabilizing controllers for continuous-time descriptor systems. Journal of The Franklin Institute, 2011, 348 (9), pp.2633-2646. ⟨hal-00625555⟩
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