关键词: 分数阶多涡卷混沌系统/
参数辨识/
原对偶状态转移算法/
正交学习机制
English Abstract
Parameter identification for fractional-order multi-scroll chaotic systems based on original dual-state transition algorithm
Wang Cong,Zhang Hong-Li
1.Xinjiang University, Department of Electrical Engineering, Urumqi, Xinjiang 830047, China
Fund Project:Project supported by the National Natural Science Foundation of China (Grant No. 51575469).Received Date:01 November 2015
Accepted Date:08 December 2015
Published Online:05 March 2016
Abstract:Parameter estimation for fractional-order chaotic systems is a multi-dimensional optimization problem, which is one of the important issues in fractional-order chaotic control and synchronization. With the orthogonal learning strategies and the original dual learning mechanism, the original dual-state transition algorithm is proposed for solving the problem of parameter estimation in fractional-order chaotic systems. The orthogonal learning strategy is presented which can increase the diversity of initial population and improve the convergence ability. And the original dual learning mechanism is presented which can increase the space ability of states, and also can improve the search capability of the algorithm. In the process of identification, we adopt Radau IIA method to solve the fractional-order differential equation. The simulation of the fractional-order multi-scroll chaotic systems with or without noise is conducted and the results demonstrate the e?ectiveness, robustness, and versatility of the proposed algorithm.
Keywords: fractional-order multi-scroll chaotic systems/
parameter identification/
original dual-state transition algorithm/
orthogonal learning mechanism
