Quadratic guaranteed cost control of uncertain discrete-time delay switched systems

Author

Chunming, Li ; Xiaohua, Liu

Author_Institution

Sch. of Math. & Inf., Lu Dong Univ., Yantai

fYear

2008

fDate

16-18 July 2008

Firstpage

623

Lastpage

627

Abstract

For a class of discrete-time state delay switched systems with norm bounded time varying parameter uncertainty, this paper addresses the problem of designing the guaranteed cost state feedback controller of quadratic stabilization under arbitrary switching laws. A condition for the existence of guaranteed cost controllers is derived. This condition can be solved easily with the MATLAB LMI toolbox. A numerical example shows the effectiveness of the method.

Keywords

control system synthesis; delays; discrete time systems; mathematics computing; state feedback; time-varying systems; uncertain systems; MATLAB LMI toolbox; bounded time varying parameter uncertainty; guaranteed cost state feedback controller; quadratic guaranteed cost control; quadratic stabilization; uncertain discrete-time delay switched systems; Bismuth; Control systems; Costs; Delay effects; Delay systems; MATLAB; Mathematics; Switched systems; Time varying systems; Uncertain systems; Discrete-time state delay switched systems; Guaranteed cost control; Linear Matrix Inequalities (LMI); Quadratic stability; Schur complement lemma;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2008. CCC 2008. 27th Chinese

Conference_Location

Kunming

Print_ISBN

978-7-900719-70-6

Electronic_ISBN

978-7-900719-70-6

Type

conf

DOI

10.1109/CHICC.2008.4605150

Filename

4605150