Title: Generalized synchronization of chaotic systems with different orders by fuzzy logic constant controller
Authors: Li, Shih-Yu
Ge, Zheng-Ming
Department of Mechanical Engineering
Keywords: Generalized synchronization;Different orders;Fuzzy logic constant controller;FLCC
Issue Date: 1-Mar-2011
Abstract: The fuzzy logic constant controller (FLCC) is introduced in this paper. Unlike traditional method, a simplest controller is proposed via fuzzy logic design and Lyapunov direct method. Controllers in traditional method by Lyapunov direct method are always complicated or the functions of errors. We propose a new idea to design constant numbers as controllers, while the constant numbers are decided by the upper bound and the lower bound of the error derivatives. Via fuzzy logic rules, the strength of controllers in our new approach can be adjusted according to the error derivatives. Consequently, the slave system becomes exactly and efficiently synchronized to the trajectory of master system through FLCC. Two examples, Lorenz system and four order Chen-Lee system, are presented to illustrate the effectiveness of the new controllers in chaos generalized synchronization. (C) 2010 Elsevier Ltd. All rights reserved.
URI: http://dx.doi.org/10.1016/j.eswa.2010.08.018
ISSN: 0957-4174
DOI: 10.1016/j.eswa.2010.08.018
Volume: 38
Issue: 3
Begin Page: 2302
End Page: 2310
Appears in Collections:Articles

Files in This Item:

  1. 000284863200111.pdf