DocumentCode :
3468858
Title :
On the stability analysis of sampled-data control systems: A combined continuous-time and discrete-time method
Author :
Xu-Guang Li ; Hua-Guang Zhang ; Cela, Arben ; Niculescu, Silviu-Iulian
Author_Institution :
Sch. of Inf. Sci. & Eng., Northeastern Univ., Shenyang, China
fYear :
2011
fDate :
3-5 March 2011
Firstpage :
1
Lastpage :
6
Abstract :
In this paper, we study the stability of sampled-data systems. A combined continuous-time and discrete-time approach is proposed, by adopting a switched system technique. Depending on the sampling period value, we treat the system as a switched system consisting of two subsystems. The two subsystems correspond to the small sampling case and the large sampling case, respectively. First, the small sampling case is studied by using the Razumikhin technique in the continuous-time framework. A condition is given to guarantee that the Lyapunov function decreases at the sampling instants, for the small sampling case. This Razumikhin-based result can be combined with the existing discrete-time methods so that the whole stability interval (small and large sampling parts) can be verified. This criterion is necessary and sufficient to guarantee the quadratic stability so that the maximum quadratic stability interval can be obtained. This combined continuous-time and discrete-time approach has two advantages over the existing approaches: 1) it can lead to a larger stability interval than those derived by the conventional continuous-time and discrete-time approaches; 2) it may reduce the computational complexity.
Keywords :
Lyapunov methods; computational complexity; continuous time systems; control system analysis; discrete time systems; sampled data systems; stability; time-varying systems; Lyapunov function; Razumikhin technique; computational complexity; continuous-time framework; continuous-time method; discrete-time method; quadratic stability; sampled-data control systems; sampled-data systems; stability analysis; stability interval; switched system technique; Asymptotic stability; Control systems; Lyapunov methods; Numerical stability; Stability criteria; Switched systems;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Communications, Computing and Control Applications (CCCA), 2011 International Conference on
Conference_Location :
Hammamet
Print_ISBN :
978-1-4244-9795-9
Type :
conf
DOI :
10.1109/CCCA.2011.6031474
Filename :
6031474
Link To Document :
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