A novel artificial bee colony algorithm with space contraction for unknown parameters identification and time-delays of chaotic systems

作者：Gao, Fei^*; Fei, Feng-xia; Xu, Qian; Deng, Yan-fang; Qi, Yi-bo; Balasingham, Ilangko

来源：Applied Mathematics and Computation, 2012, 219(2): 552-568.

DOI：10.1016/j.amc.2012.06.040

• Unknown parameters identification
• Time-delays
• Chaos systems
• Artificial bee colony algorithm
• Space contraction self-adaptively

This paper is concerned with the uncertain parameters and time-delay of nonlinear chaotic systems, which is of vital significance in chaos control and synchronization. In this article, a novel artificial bee colony algorithm (ABC), with space contraction and optimization technique based on the foraging behavior of honeybees, is newly proposed to solve the estimation problem via a nonnegative multi-modal nonlinear optimization, which finds a best combination of parameters such that an objective function is minimized. The illustrative examples, in Lorenz, Chen, Lu chaos systems and Mackey-Glass time-delay chaos system, are given though ABC and ABC with space contraction self-adaptively (ABCSC) respectively. Simulation are done and comparisons to some existing results by a recent version of ABC, HTCMIABC demonstrate that ABCSC is superior to ABC and HTCMIABC for unknown parameters and time-delays of the chaotic systems accurately and effectively. And it is a promising tool for chaotic system identification as well as other numerical optimization problems in mathematics.

• 出版日期2012-10-1
• 单位武汉理工大学