LMI-based criterion for the robust guaranteed cost control of 2-D systems described by the Roesser model

Author

Dai, Jiangtao ; Wang, Weiqun

Author_Institution

Dept. of Appl. Math., Nanjing Univ. of Sci. & Technol., Nanjing

fYear

2008

fDate

21-24 Sept. 2008

Firstpage

818

Lastpage

822

Abstract

This paper considers the problem of the guaranteed cost control for a class of two-dimensional (2-D) discrete systems described by the Roesser model with norm-bounded uncertainties. A linear matrix inequality (LMI)-based criterion for the existence of robust guaranteed cost controller is established. Such controller render the closed-loop system asymptotically stable for all admissible uncertainties and guarantee an adequate level of performance.

Keywords

asymptotic stability; closed loop systems; cost optimal control; discrete systems; linear matrix inequalities; robust control; uncertain systems; 2D discrete systems; LMI-based criterion; Roesser model; asymptotic stability; closed loop system; linear matrix inequality; norm-bounded uncertainties; robust guaranteed cost controller; Control system synthesis; Control systems; Costs; Linear matrix inequalities; Mathematical model; Mathematics; Robust control; Two dimensional displays; Uncertain systems; Uncertainty; 2-D discrete systems; Guaranteed cost control; Linear matrix inequality; Lyapunov methods; Robust stability; uncertain systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Cybernetics and Intelligent Systems, 2008 IEEE Conference on

Conference_Location

Chengdu

Print_ISBN

978-1-4244-1673-8

Electronic_ISBN

978-1-4244-1674-5

Type

conf

DOI

10.1109/ICCIS.2008.4670745

Filename

4670745