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|Title:||Sampled-data fuzzy control of chaotic systems based on a T-S fuzzy model|
|Citation:||IEEE Transactions on Fuzzy Systems, 2014; 22(1):153-163|
|Publisher:||IEEE-Inst Electrical Electronics Engineers Inc|
|Zheng-Guang Wu, Peng Shi, Hongye Su and Jian Chu|
|Abstract:||In this paper, a sampled-data fuzzy controller is designed to stabilize a class of chaotic systems. A Takagi-Sugeno (T-S) fuzzy model is employed to represent the chaotic systems. Based on this general model, the exponential stability issue of the closed-loop systems with an input constraint is first investigated by a novel time-dependent Lyapunov functional, which is positive definite at sampling times but not necessary between the sampling times. Then, two sufficient conditions are developed for sampled-data fuzzy controller synthesis of the underlying T-S fuzzy model with or without input constraint. All the proposed results in this paper depend on both the upper and lower bounds on a sampling interval, and the available information about the actual sampling pattern is fully utilized. The proposed sampled-data fuzzy control scheme is successfully applied to the chaotic Lorenz system, which is shown to be effective and less conservative compared with existing results.|
|Keywords:||Chaotic systems; exponential stability; sampled-data control; Takagi–Sugeno (T–S) fuzzy model.|
|Rights:||© 2013 IEEE|
|Appears in Collections:||Electrical and Electronic Engineering publications|
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