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IMA Journal of Mathematical Control and Information Advance Access originally published online on January 19, 2009
IMA Journal of Mathematical Control and Information 2009 26(1):79-94; doi:10.1093/imamci/dnn014
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© The author 2009. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Stabilization of a class of partially observed infinite-dimensional systems with control constraints

B. Abouzaid{dagger} and M. E. Achhab{ddagger}

Laboratoire d'Ingénierie Mathématique, Département de Mathématique et Informatique Faculté des Sciences—BP 20, El Jadida, Morocco

V. Wertz§

Centre for Systems Engineering and Applied Mechanics, Université Catholique de Louvain, Louvain-la-Neuve, Belgique

{dagger} Corresponding author. Email: bhabouzaid{at}yahoo.fr

{ddagger} Email: achhab{at}menara.ma

§ Email: vincent.wertz{at}uclouvain.be

Received on March 24, 2007; Revision received July 25, 2008. The stabilization by a finite-dimensional compensator for a class of infinite-dimensional linear systems with control inequality constraints is investigated. The main result shows that the corresponding state feedback results cannot be directly extended to the composite system including a full-state observer. However, we get conditions of asymptotic stability for a particular subclass of systems with control constraints by an appropriate use of the positive invariance concept.

Keywords: infinite-dimensional systems; stabilization; compensator; positive invariance; control constraints.


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