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Sampled-Data Fuzzy Control of Chaotic Systems Based on a T–S Fuzzy Model | IEEE Journals & Magazine | IEEE Xplore

Sampled-Data Fuzzy Control of Chaotic Systems Based on a T–S Fuzzy Model


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...Show More

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.
Published in: IEEE Transactions on Fuzzy Systems ( Volume: 22, Issue: 1, February 2014)
Page(s): 153 - 163
Date of Publication: 07 March 2013

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