Parameters Estimation of Uncertain Fractional-Order Chaotic Systems via a Modified Artificial Bee Colony Algorithm

Author: Hu Wei   Yu Yongguang   Wang Sha  

Publisher: MDPI

E-ISSN: 1099-4300|17|2|692-709

ISSN: 1099-4300

Source: Entropy, Vol.17, Iss.2, 2015-02, pp. : 692-709

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Abstract

Parameter estimation for fractional-order chaotic systems has been an interesting and important issue in theory and various fields of application. In this paper, fractional orders, as well as systematic parameters of fractional-order chaotic systems are considered by treating fractional orders as additional parameters. The parameter estimation is transformed into a multidimensional optimization problem, and an effective modified artificial bee colony algorithm is proposed to solve this problem. Numerical simulations are conducted on two typical fractional-order chaotic systems to show the effectiveness of the proposed scheme.