Resilient feedback stabilization of discrete-time systems with delays

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Mahmoud, Magdi S, Boukas, El-Kébir and Shi, Peng (2008) Resilient feedback stabilization of discrete-time systems with delays. IMA Journal of Mathematical Control and Information, 25 (2). pp. 141-156. ISSN 0265-0754

Abstract

A class of linear, uncertain discrete-time systems with state delay is considered. We develop an linear matrix inequality (LMI)-based analysis and redesign procedures for improved robust stability of discretetime systems with state delay and bounded nonlinearities. Then, we address the robust stabilization using nominal and resilient feedback designs. In both cases, the trade-off between the size of the controller gains and the bounding factors is illuminated and incorporated into the design formalism. Seeking computational convenience, all the developed results are cast in the format of LMIs and several numerical examples are presented throughout the paper.

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Item type	Article
URI	https://vuir.vu.edu.au/id/eprint/3808
DOI	10.1093/imamci/dnm012
Official URL	http://imamci.oxfordjournals.org/content/25/2/141
Subjects	Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM) Historical > FOR Classification > 0199 Other Mathematical Sciences Information Systems
Keywords	ResPubID19010, nonlinear systems, time-delay systems, robust stability, resilient control, LMIs
Citations in Scopus	6 - View on Scopus
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