On the fuzzy minimum entropy control to stabilize the unstable fixed points of chaotic maps |
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Authors: | Hoda Sadeghian Kaveh Merat Hassan Salarieh Aria Alasty |
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Institution: | Department of Mechanical Engineering, Sharif University of Technology, P.O. Box 11365-9567, Tehran, Iran |
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Abstract: | This paper presents a fuzzy algorithm for controlling chaos in nonlinear systems via minimum entropy approach. The proposed fuzzy logic algorithm is used to minimize the Shannon entropy of a chaotic dynamics. The fuzzy laws are determined in such a way that the entropy function descends until the chaotic trajectory of the system is replaced by a regular one. The Logistic and the Henon maps as two discrete chaotic systems, and the Duffing equation as a continuous one are used to validate the proposed scheme and show the effectiveness of the control method in chaotic dynamical systems. |
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