Robust sampled-data stabilization of linear systems - An input delay approach

Fridman, Emilia; Seuret, Alexandre; Richard, Jean-Pierre

Document type :

Compte-rendu et recension critique d'ouvrage

Title :

Robust sampled-data stabilization of linear systems - An input delay approach

Author(s) :

Fridman, Emilia [Auteur]
Department of Electrical Engineering
Seuret, Alexandre [Auteur]
Laboratoire d'Automatique, Génie Informatique et Signal [LAGIS]
Richard, Jean-Pierre [Auteur]

Systèmes Non Linéaires et à Retards [SyNeR]

Journal title :

Automatica

Publisher :

Elsevier

Publication date :

2004

ISSN :

0005-1098

HAL domain(s) :

Informatique [cs]/Automatique
Mathématiques [math]/Systèmes dynamiques [math.DS]

English abstract : [en]

A new approach to robust sampled-data control is introduced. The system is modelled as a continuous-time one, where the control input has a piecewise-continuous delay. Sufficient linear matrix inequalities (LMIs) conditions ...
Show more >A new approach to robust sampled-data control is introduced. The system is modelled as a continuous-time one, where the control input has a piecewise-continuous delay. Sufficient linear matrix inequalities (LMIs) conditions for sampled-data state-feedback stabilization of such systems are derived via descriptor approach to time-delay systems. The only restriction on the sampling is that the distance between the sequel sampling times is not greater than some prechosen h>0 for which the LMIs are feasible. For h → 0 the conditions coincide with the necessary and sufficient conditions for continuous-time state-feedback stabilization. Our approach is applied to two problems: to sampled-data stabilization of systems with polytopic type uncertainities and to regional stabilization by sampled-data saturated state-feedback.Show less >

Language :

Anglais

Popular science :

Non

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