Research Article

Hh Control of Discrete-time Uncertain Periodic Systems with Delays

by  N. Bougatef, M. Chaabane, D. Mehdi
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 53 - Issue 3
Published: September 2012
Authors: N. Bougatef, M. Chaabane, D. Mehdi
10.5120/8405-2496
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N. Bougatef, M. Chaabane, D. Mehdi . Hh Control of Discrete-time Uncertain Periodic Systems with Delays. International Journal of Computer Applications. 53, 3 (September 2012), 45-51. DOI=10.5120/8405-2496

                        @article{ 10.5120/8405-2496,
                        author  = { N. Bougatef,M. Chaabane,D. Mehdi },
                        title   = { Hh Control of Discrete-time Uncertain Periodic Systems with Delays },
                        journal = { International Journal of Computer Applications },
                        year    = { 2012 },
                        volume  = { 53 },
                        number  = { 3 },
                        pages   = { 45-51 },
                        doi     = { 10.5120/8405-2496 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2012
                        %A N. Bougatef
                        %A M. Chaabane
                        %A D. Mehdi
                        %T Hh Control of Discrete-time Uncertain Periodic Systems with Delays%T 
                        %J International Journal of Computer Applications
                        %V 53
                        %N 3
                        %P 45-51
                        %R 10.5120/8405-2496
                        %I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper deals with the problem of H1 control for a class of linear discrete-time periodic system with delays. The obtained results are then extended for the time-delay periodic system with Linear Fractional Representation (LFR) uncertainty. Furthermore, linear matrix inequality (LMI)-based su cient conditions for H1 control are established. Two numerical examples are given to illustrate the applicability of the proposed approach.

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Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

Discrete systems Periodic systems Time-delay State feedback stabilization Linear Fractional Representation H1 control Asymptotic stabilization robustness.

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