Abstract and Applied Analysis
Volume 2013 (2013), Article ID 875965, 8 pages
Research Article

Chaotic Motions in the Real Fuzzy Electronic Circuits

1Department of Biological Science and Technology, National Chiao Tung University, 1001 Ta Hsueh Road, Hsinchu 300, Taiwan
2Brain Research Center, National Chiao Tung University, Hsinchu, Taiwan
3Department of Automatic Control, National Taiwan University of Science and Technology, Taipei City, Taiwan
4Institute of Electrical Control Engineering, National Chiao Tung University, Hsinchu, Taiwan
5Department of Industrial and Systems Engineering, Chung Yuan Christian University, Chung-Li, Taiwan

Received 26 October 2012; Accepted 30 December 2012

Academic Editor: Chuandong Li

Copyright © 2013 Shih-Yu Li et al. 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.


Fuzzy electronic circuit (FEC) is firstly introduced, which is implementing Takagi-Sugeno (T-S) fuzzy chaotic systems on electronic circuit. In the research field of secure communications, the original source should be blended with other complex signals. Chaotic signals are one of the good sources to be applied to encrypt high confidential signals, because of its high complexity, sensitiveness of initial conditions, and unpredictability. Consequently, generating chaotic signals on electronic circuit to produce real electrical signals applied to secure communications is an exceedingly important issue. However, nonlinear systems are always composed of many complex equations and are hard to realize on electronic circuits. Takagi-Sugeno (T-S) fuzzy model is a powerful tool, which is described by fuzzy IF-THEN rules to express the local dynamics of each fuzzy rule by a linear system model. Accordingly, in this paper, we produce the chaotic signals via electronic circuits through T-S fuzzy model and the numerical simulation results provided by MATLAB are also proposed for comparison. T-S fuzzy chaotic Lorenz and Chen-Lee systems are used for examples and are given to demonstrate the effectiveness of the proposed electronic circuit.