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Reseach Article

Hh Control of Discrete-time Uncertain Periodic Systems with Delays

by N. Bougatef, M. Chaabane, D. Mehdi
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 53 - Number 3
Year of Publication: 2012
Authors: N. Bougatef, M. Chaabane, D. Mehdi
10.5120/8405-2496

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 },
issue_date = { September 2012 },
volume = { 53 },
number = { 3 },
month = { September },
year = { 2012 },
issn = { 0975-8887 },
pages = { 45-51 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume53/number3/8405-2496/ },
doi = { 10.5120/8405-2496 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:53:13.445390+05:30
%A N. Bougatef
%A M. Chaabane
%A D. Mehdi
%T Hh Control of Discrete-time Uncertain Periodic Systems with Delays
%J International Journal of Computer Applications
%@ 0975-8887
%V 53
%N 3
%P 45-51
%D 2012
%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

Keywords

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