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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):71-80; doi:10.1093/imamci/dnl011
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© The author 2006. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Regularization and robust control of uncertain singular discrete-time linear systems

Salim Ibrir**

Department of Mechanical & Industrial Engineering, Concordia University, 1515 Sainte Catherine west, Montreal, Quebec, H3G 1M8, Canada

** Email: sibrir{at}encs.concordia.ca


  Abstract

New sufficient linear matrix inequality (LMI) condition for regularization of singular discrete-time systems subject to norm-bounded uncertainties is given. Then a new class of feedback is proposed to stabilize singular uncertain discrete-time systems with unknown time delays. The regularization and the stabilizability condition of this class of systems is given in terms of one strict LMI. A numerical example is given to show the novelty of the control design.

Keywords: singular systems; linear matrix inequalities; regularization; discrete-time systems; system theory.

Received on 7 March 2005. Accepted on 7 March 2006.


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