DocumentCode
2567995
Title
Asymptotic controllability of discrete-time systems with disturbances
Author
Cai, Xiushan ; Lv, Ganyun ; Xu, Xiuling ; He, Xiuhui
Author_Institution
Coll. of Math. Phys., & Inf. Eng., Zhejiang Normal Univ., Jinhua
fYear
2008
fDate
2-4 July 2008
Firstpage
4189
Lastpage
4192
Abstract
This paper demonstrates that the existence of a smooth control Lyapunov function for discrete-time systems with disturbances is equivalent to the system is uniformly globally asymptotic controllability with respect to a closed set. It is obtained that this control Lyapunov function may be used to construct a feedback law to stabilize the closed-loop system. In addition, it is shown that for periodic discrete systems, the resulted control Lyapunov functions are also time periodic.
Keywords
Lyapunov methods; asymptotic stability; closed loop systems; controllability; discrete time systems; feedback; periodic control; closed-loop system; discrete-time systems; feedback law; periodic discrete systems; smooth control Lyapunov function; time periodic functions; uniformly globally asymptotic controllability; Control design; Control systems; Controllability; Feedback; Helium; History; Lyapunov method;
fLanguage
English
Publisher
ieee
Conference_Titel
Control and Decision Conference, 2008. CCDC 2008. Chinese
Conference_Location
Yantai, Shandong
Print_ISBN
978-1-4244-1733-9
Electronic_ISBN
978-1-4244-1734-6
Type
conf
DOI
10.1109/CCDC.2008.4598118
Filename
4598118
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