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Title: Time delayed repetitive learning control for chaotic systems
Authors: Song, Y.
Yu, X.
Chen, G.
Xu, J.-X. 
Tian, Y.-P.
Keywords: Chaos control
Learning control
Issue Date: 2002
Citation: Song, Y., Yu, X., Chen, G., Xu, J.-X., Tian, Y.-P. (2002). Time delayed repetitive learning control for chaotic systems. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 12 (5) : 1057-1065. ScholarBank@NUS Repository.
Abstract: In this paper, a time-delayed chaos control method based on repetitive learning is proposed. A general repetitive learning control structure based on the invariant manifold of the chaotic system is given. The integration of the repetitive learning control principle and the time-delayed chaos control technique enables adaptive learning of appropriate control actions from learning cycles. In contrast to the conventional repetitive learning control, no exact knowledge (analytic representation) of the target unstable periodic orbits is needed, except for the time delay constant, which can be identified via either experiments or adaptive learning. The controller effectively stabilizes the states of the continuous-time chaos on desired unstable periodic orbits. Simulations on the Dufiing and Lorenz chaotic systems are provided to verify the design and analysis.
Source Title: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
ISSN: 02181274
DOI: 10.1142/S0218127402004905
Appears in Collections:Staff Publications

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