Robust control for a class of 2-D discrete uncertain delayed systems

Author

Shuxia Ye ; Jianzhen Li

Author_Institution

Sch. of Electron. & Inf., Jiangsu Univ. of Sci. & Technol., Zhenjiang, China

fYear

2013

fDate

12-14 June 2013

Firstpage

1048

Lastpage

1052

Abstract

In this paper, we address the problem of robust stability and control of 2-D discrete uncertain systems with delayed perturbations described by the Roesser state-space model (RM). Firstly, By utilizing the Lyapunov method, sufficient conditions for 2-D discrete systems with unstructured and structured delayed perturbations to be stable are presented. Next, state feedback controllers are design to stabilize such systems. The results are delay-dependent and can be expressed in terms of linear matrix inequalities (LMIs). Finally, some numerical examples are given to show the effectiveness of present approaches.

Keywords

Lyapunov methods; delay systems; discrete systems; linear matrix inequalities; perturbation techniques; robust control; state-space methods; uncertain systems; 2D discrete systems; 2D discrete uncertain delayed systems; Lyapunov method; Roesser state-space model; delay-dependent systems; linear matrix inequality; robust control; robust stability; state feedback controllers; sufficient conditions; unstructured delayed perturbations; Asymptotic stability; Linear matrix inequalities; Robust stability; Stability criteria; State feedback; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation (ICCA), 2013 10th IEEE International Conference on

Conference_Location

Hangzhou

ISSN

1948-3449

Print_ISBN

978-1-4673-4707-5

Type

conf

DOI

10.1109/ICCA.2013.6564979

Filename

6564979