Skip Navigation


IMA Journal of Mathematical Control and Information Advance Access originally published online on June 7, 2006
IMA Journal of Mathematical Control and Information 2007 24(1):81-94; doi:10.1093/imamci/dnl015
This Article
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
24/1/81    most recent
dnl015v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Similar articles in ISI Web of Science
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Mesquine, F.
Right arrow Articles by Benlamkadem, A.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The author 2006. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Robust constrained linear regulator problem

Fouad Mesquine** and Abdellatif Benlamkadem***

UCAM, Faculty of Sciences Physics Department, Research Unit CRR, PO Box 2390, Marrakesh, Morocco

** Email: mesquine{at}ucam.ac.ma

*** Email: a.benlamkadem{at}ucam.ac.ma


  Abstract

The robust constrained state and control regulator problem is considered. Necessary and sufficient conditions of positive invariance are established. A linear programming approach is presented in order to construct, for an uncertain constrained linear system, a stabilizing linear state feedback control. The control law transfers asymptotically to the origin any initial state belonging to a given set, while constraints on the state and the control vectors are respected.

Keywords: linear systems; uncertainties; constraints; positive invariance; linear programming.

Received on 16 August 2005. Accepted on 25 April 2006.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.