H∞ control of 2D discrete singular systems

Author

Hmamed, Abdelaziz ; Kririm, Said ; Tadeo, Fernando

Author_Institution

Fac. of Sci. Dhar El Mehraz, Dept. of Phys., Sidi Mohamed Ben Abdellah Univ., Fac. of Sci. Dhar El Mehraz, Fes-Atlas, Morocco

fYear

2014

Firstpage

100

Lastpage

104

Abstract

The design of H_∞ controllers for 2D discrete singular systems is studied here for Roesser models. More precisely, the problem addressed is the design of state feedback controllers that guarantee the acceptability, internal stability and causality of the closed-loop system, with a prescribed H_∞ performance level. By using an adapted version of the bounded real lemma, a new linear matrix inequality condition is obtained for the existence of a desired H_∞ controller. An illustrative example is presented to show the applicability of the proposed method.

Keywords

H^∞ control; closed loop systems; control system synthesis; discrete systems; linear matrix inequalities; stability; 2D discrete singular systems; H_∞ control; Roesser models; bounded real lemma; closed-loop system; internal stability; linear matrix inequality condition; state feedback controller design; Adaptation models; Ash; Computational modeling; Delay systems; State feedback; H∞ control; singular systems; two-dimensional systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Sciences and Techniques of Automatic Control and Computer Engineering (STA), 2014 15th International Conference on

Type

conf

DOI

10.1109/STA.2014.7086775

Filename

7086775