Finite-time control of sampled-data systems

Author

Hongliang Liu ; Huibo Zhou ; Shan Ding ; Peichen Wang

Author_Institution

Fac. of Math. Sci., Harbin Normal Univ., Harbin, China

fYear

2013

fDate

25-27 May 2013

Firstpage

2788

Lastpage

2792

Abstract

Finite-time control of sampled-data systems are addressed. A kind of Lyapunov-Krasovskii function-like function is proposed, whose derivative does not need to be negative definite. Based on input-delay approach and free-weight matrix technologies, sufficient conditions which can ensure finite-time stability (FTS) for the resulted closed-loop system with rapid time-vary delay are given in linear matrix inequalities (LMIs). And then in virtue of the results on finite-time stability, the state feedback controller is designed. These conditions are given in terms of LMIs and are delay-dependent.

Keywords

Lyapunov methods; closed loop systems; control system synthesis; delays; linear matrix inequalities; sampled data systems; state feedback; time-varying systems; FTS; LMI; Lyapunov-Krasovskii function-like function; closed-loop system; finite-time control; finite-time stability; free-weight matrix technologies; input-delay approach; linear matrix inequalities; rapid time-vary delay; sampled-data systems; state feedback controller; Linear matrix inequalities; Linear systems; Stability analysis; Switches; Symmetric matrices; Time-varying systems; LMI; Sampled-data systems; finite time control; input-delay approach;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2013 25th Chinese

Conference_Location

Guiyang

Print_ISBN

978-1-4673-5533-9

Type

conf

DOI

10.1109/CCDC.2013.6561418

Filename

6561418