Paper Info
Title
Sampled-data stabilization of chaotic systems based on a T-S fuzzy model.
Abstract
This paper investigates the problem of stability and stabilization of a class of chaotic system through the use of sampled-data control. By employing a Takagi–Sugeno (T-S) fuzzy model to describe the chaotic system and using a time-dependent Lyapunov function, an exponential stability condition is derived for the resulting closed-loop systems with input saturation constraint. Based on this condition, a fuzzy sampled-data controller is designed to stabilize the systems under consideration. The results obtained in this paper are based on the actual characteristic of sampling model. They depend explicitly on both the upper and lower bounds of sampling intervals. The chaotic Lorenz system is considered and solved by using the proposed approach so as to demonstrate the benefits and the superiority of the proposed approach over existing methods.
Year
DOI
Venue
2019
10.1016/j.ins.2019.01.046
Information Sciences
Keywords
Field
DocType
Exponential stability,Chaotic systems,T-S fuzzy model,Sampled-data control
Lyapunov function,Discrete mathematics,Control theory,Control theory,Upper and lower bounds,Fuzzy logic,Lorenz system,Exponential stability,Sampling (statistics),Chaotic,Mathematics
Journal
Volume
ISSN
Citations 
483
0020-0255
11
PageRank 
References 
Authors
0.49
27
4
Name
Order
Citations
PageRank
Hong-Bing Zeng181626.17
K. L. Teo21643211.47
Yong He33691220.49
Wei Wang4131.20