Chaos synchronization of a fractional‐order modified Van der Pol–Duffing system via new linear control,backstepping control and Takagi–Sugeno fuzzy approaches |
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| Authors: | Ahmed Ezzat Matouk |
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| Affiliation: | Department of Mathematics, Faculty of Science, Hail University, Hail, Saudi Arabia |
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| Abstract: | In this article, based on the stability theory of fractional‐order systems, chaos synchronization is achieved in the fractional‐order modified Van der Pol–Duffing system via a new linear control approach. A fractional backstepping controller is also designed to achieve chaos synchronization in the proposed system. Takagi‐Sugeno fuzzy models‐based are also presented to achieve chaos synchronization in the fractional‐order modified Van der Pol–Duffing system via linear control technique. Numerical simulations are used to verify the effectiveness of the synchronization schemes. © 2015 Wiley Periodicals, Inc. Complexity 21: 116–124, 2016 |
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| Keywords: | fractional‐order modified Van der Pol– Duffing system synchronization linear control backstepping technique Takagi– Sugeno fuzzy model |
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