4.7 Article

An adaptive method to parameter identification and synchronization of fractional-order chaotic systems with parameter uncertainty

Journal

APPLIED MATHEMATICAL MODELLING
Volume 40, Issue 7-8, Pages 4468-4479

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2015.11.033

Keywords

System identification; Fractional-order chaotic system; Recursive least square; Synchronization

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In this paper, parameters of a fractional-order chaotic system are identified via a robust recursive error prediction method in presence of uncertainty. A generalized ARX structure has obtained by discretization of a continuous fractional-order differential equation defines the identification model. After identifying parameters of system, we use concept of active control method to synchronize two identified fractional-order chaotic systems. The validity of results are demonstrated through an example and also compared with other method. (C) 2015 Elsevier Inc. All rights reserved.

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