Separation principle for a sampled bilinear system

Authors:
S. Ammar;M. A. Hammami;H. Jerbi;J. C. Vivalda
Affiliations:
Institut Supérieur d'Informatique et du Multimédia de Sfax, Sfax, Tunisia;Faculté des Sciences de Sfax, Sfax, Tunisia;Faculté des Sciences de Sfax, Sfax, Tunisia;Projet CONGE INRIA, Loraine Metz, Ile du Saulcy Bat A, ISGMP, 57045, France
Venue:
Journal of Dynamical and Control Systems
Year:
2010

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Abstract

This work is a continuation of [2] and [1] in which the authors studied the preservation of the observability and observer under sampling. In this paper, by relaxing some hypotheses, we study the observability and stabilization problems for a sampled bilinear system. We give a characterization of the observability for such systems. Moreover, under some sufficient conditions, we show that the sampled of the bilinear system can be globally asymptotically stabilizable using a state observer.