DocumentCode :
630992
Title :
Admissible finite-time stability and stabilization of discrete-time singular systems with time-varying delays
Author :
Wenping Xue ; Weijie Mao
Author_Institution :
Inst. of Cyber-Syst. & Control, Zhejiang Univ., Hangzhou, China
fYear :
2013
fDate :
17-19 June 2013
Firstpage :
6072
Lastpage :
6077
Abstract :
In this paper, a new finite-time stability (FTS) concept, which is defined as admissible finite-time stability (AFTS), is introduced into a class of discrete-time singular systems with time-varying delays. The problems of AFTS analysis and synthesis are addressed. A sufficient condition for the AFTS of the unforced discrete-time singular time-delay system is proposed. Based on the AFTS analysis result, a state feedback controller is designed such that the resulting closed-loop system is admissibly finite-time stable. Both the AFTS and the controller design conditions are provided in terms of a set of linear matrix inequalities (LMIs) with some fixed parameters. Two numerical examples are presented to illustrate the effectiveness of the developed theory.
Keywords :
closed loop systems; control system synthesis; delay systems; discrete time systems; linear matrix inequalities; stability; state feedback; time-varying systems; AFTS analysis; AFTS synthesis; LMI; admissible finite-time stability; closed-loop system; linear matrix inequalities; stabilization; state feedback controller design; time-varying delays; unforced discrete-time singular time-delay system; Asymptotic stability; Delays; Numerical stability; Stability analysis; State feedback; Symmetric matrices; Time-varying systems;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference (ACC), 2013
Conference_Location :
Washington, DC
ISSN :
0743-1619
Print_ISBN :
978-1-4799-0177-7
Type :
conf
DOI :
10.1109/ACC.2013.6580790
Filename :
6580790
Link To Document :
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