Journal
NEUROCOMPUTING
Volume 173, Issue -, Pages 606-614Publisher
ELSEVIER
DOI: 10.1016/j.neucom.2015.08.003
Keywords
Adaptive fuzzy control; Incommensurate fractional-order systems; Uncertain chaotic systems; Generalized projective synchronization
Categories
Funding
- Algerian Ministry of Higher Education and Scientific Research
- General Direction of Scientific Research as a part of Project CNEPRU [J0201720130043]
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This paper proposes a novel fuzzy adaptive controller for achieving an appropriate generalized projective synchronization (GPS) of two incommensurate fractional-order chaotic systems. The master system and the slave system, considered here, are assumed to be with non-identical structure, external dynamical disturbances, uncertain models and distinct fractional-orders. The adaptive fuzzy systems are used for estimating some unknown nonlinear functions. A Lyapunov approach is adopted for deriving the parameter adaptation laws and proving the stability of the closed-loop system. Under some mild assumptions, the proposed controller can guarantee all the signals in the closed-loop system remain bounded and the underlying synchronization errors asymptotically converge towards a small of neighborhood of the origin. Finally, some numerical experiment results are presented to illustrate the effectiveness of the proposed synchronization scheme. (C) 2015 Elsevier B.V. All rights reserved.
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