DocumentCode :
232409
Title :
Sampling-interval-dependent exponential stability for a networked control system model of sampled-data systems
Author :
Hanyong Shao ; Xunlin Zhu ; Zhengqiang Zhang
Author_Institution :
Sch. of Electr. & Inf. Autom., Qufu Normal Univ., Rizhao, China
fYear :
2014
fDate :
28-30 July 2014
Firstpage :
6108
Lastpage :
6113
Abstract :
This paper is concerned with a Lyapunov functional approach to stability for a networked control system model of sampled-data systems. The Lyapunov functional constructed has the sampling characteristic of the sampled-data system. Compared with usual Lyapunov functional, it is of the second order in time t and of every term being dependent on time t explicitly. Moreover, it may be discontinuous and it is not necessarily definite positive. This general Lyapunov functional can employs fully the information of sampled-data systems, especially that of the sampling interval. By proposing a lemma to the Lyapunov functional, a new sampling-interval-dependent exponential stability criterion is derived. Then this exponential stability criterion is extended to sampled-data systems with polytopic uncertainties. A new sampling-interval-dependent asymptotic stability criterion is also obtained. The stability criteria are demonstrated by examples that they are less conservative than some existing ones in the literature.
Keywords :
Lyapunov methods; asymptotic stability; distributed parameter systems; networked control systems; sampled data systems; sampling methods; stability criteria; uncertain systems; Lyapunov functional approach; networked control system model; polytopic uncertainties; sampled-data systems; sampling-interval-dependent exponential stability criterion; Asymptotic stability; Control theory; Stability criteria; Symmetric matrices; Uncertainty; Lyapunov functional; Sampled-data systems; exponential stability; uncertainties;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
Type :
conf
DOI :
10.1109/ChiCC.2014.6895989
Filename :
6895989
Link To Document :
بازگشت