Adaptive synchronization of a class of fractional order chaotic system with uncertain parameters | Zendy

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Adaptive synchronization of a class of fractional order chaotic system with uncertain parameters

Author(s) -

De-fu Kong

Publication year - 2015

Publication title -

journal of advances in mathematics

Language(s) - English

Resource type - Journals

ISSN - 2347-1921

DOI - 10.24297/jam.v11i6.1229

Subject(s) - mathematics , control theory (sociology) , robustness (evolution) , synchronization (alternating current) , chaotic systems , chaotic , fractional order system , class (philosophy) , synchronization of chaos , stability (learning theory) , adaptive control , fractional calculus , computer science , control (management) , topology (electrical circuits) , artificial intelligence , biochemistry , chemistry , combinatorics , machine learning , gene

In this manuscript, the adaptive synchronization of a class of fractional order chaotic system with uncertain parameters is studied. Firstly, the local stability of the fractional order chaotic system is analyzed using fractional stability criterion. Then, based on the J function criterion, suitable adaptive synchronization controller and parameter identification rules of the unknown parameters are investigated. Finally, the numerical simulations are presented to verify the effectiveness and robustness of the proposed control scheme.

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