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Journal of Control Science and Engineering
Volume 2016, Article ID 9735264, 8 pages
Research Article

An Approach of Tracking Control for Chaotic Systems

1College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao 266590, China
2Department of Electromechanical Engineering, Binzhou University, Binzhou, Shandong 256600, China
3School of Electrical Engineering and Automation, Qilu University of Technology, Jinan, Shandong 250353, China

Received 15 October 2015; Accepted 31 March 2016

Academic Editor: Jie Chen

Copyright © 2016 Jin Xing and Fangfang Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Combining the ergodicity of chaos and the Jacobian matrix, we design a general tracking controller for continuous and discrete chaotic systems. The control scheme has the ability to track a bounded reference signal. We prove its globally asymptotic stability and extend it to generalized projective synchronization. Numerical simulations verify the effectiveness of the proposed scheme.