Implementation of Synchronized Chaotic Lü Systems and Its Application in Secure Communication Using PSO-Based PI Controller

This paper investigates the synchronization of chaotic systems and its application in secure communication. First, a particle swarm optimization (PSO)-based proportional -integral (PI) controller is proposed for synchronization of general chaotic systems. By using the PSO algorithm, optimal control gains in PI controller are derived such that a performance index of integrated squared error (ISE) is as minimal as possible and synchronization can be achieved. Then a chaotic secure communication system based on synchronized coupled Lü systems is implemented using basic electronic components. Finally, both simulation results and the experimental results demonstrate the proposed PSO-based PI scheme’s success in the secure communication application.

[1]  Jiantao Zhou,et al.  Communication with spatial periodic chaos synchronization , 2005 .

[2]  Joaquin Alvarez,et al.  Robust synchronization of Sprott circuits using sliding mode control , 2006 .

[3]  Qing-Guo Wang,et al.  Synthesis for robust synchronization of chaotic systems under output feedback control with multiple random delays , 2006 .

[4]  Thad Welch,et al.  A Dual-Synchrony Chaotic Communication Scheme , 2005 .

[5]  Lequan Min,et al.  A Generalized Chaos Synchronization Based Encryption Algorithm for Sound Signal Communication , 2005 .

[6]  M. Cheng,et al.  A neural‐network‐based method for fuzzy parameter tuning of pid controllers , 2002 .

[7]  Chuan-Kuei Huang,et al.  Implementation of chaotic secure communication systems based on OPA circuits , 2005 .

[8]  Wang Zhi-gang,et al.  A modified particle swarm optimization , 2009 .

[9]  Alan F. Murray,et al.  IEEE International Conference on Neural Networks , 1997 .

[10]  Katsutoshi Kuribayashi,et al.  Neural-based fuzzy logic control for robot manipulators , 1998, 1998 Second International Conference. Knowledge-Based Intelligent Electronic Systems. Proceedings KES'98 (Cat. No.98EX111).

[11]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[12]  Edward Ott,et al.  Controlling chaos , 2006, Scholarpedia.

[13]  Teh-Lu Liao,et al.  Control of Chua's circuit with a cubic nonlinearity via nonlinear linearization technique , 1998 .

[14]  Yue Shi,et al.  A modified particle swarm optimizer , 1998, 1998 IEEE International Conference on Evolutionary Computation Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98TH8360).

[15]  Changchun Hua,et al.  Synchronization of chaotic systems based on PI observer design , 2005 .

[16]  S. P. Ghoshal Optimizations of PID gains by particle swarm optimizations in fuzzy based automatic generation control , 2004 .

[17]  R. Eberhart,et al.  Empirical study of particle swarm optimization , 1999, Proceedings of the 1999 Congress on Evolutionary Computation-CEC99 (Cat. No. 99TH8406).

[18]  Shengli Xie,et al.  A Multiuser Chaotic Communication Scheme by Parameter Division Multiple Access , 2007 .

[19]  Ya-Gang Wang,et al.  Optimal tuning for PI controller , 2000, Autom..

[20]  Leonardo A. B. Tôrres,et al.  Chaotic Synchronization and Information Transmission Experiments: A Fuzzy Relaxed H∞ Control Approach , 2007 .

[21]  Guanrong Chen,et al.  Simplex Sliding Mode Control for Nonlinear Uncertain Systems Via Chaos Optimization , 2005 .

[22]  Tianping Chen,et al.  Chaotic Lag Synchronization of Coupled Delayed Neural Networks and Its Applications in Secure Communication , 2005 .

[23]  James Kennedy,et al.  Particle swarm optimization , 2002, Proceedings of ICNN'95 - International Conference on Neural Networks.

[24]  Yijia Cao Eigenvalue optimisation problems via evolutionary programming , 1997 .

[25]  Jinhu Lu,et al.  Controlling uncertain Lü system using linear feedback , 2003 .

[26]  Antonio Visioli,et al.  Fuzzy logic based set-point weight tuning of PID controllers , 1999, IEEE Trans. Syst. Man Cybern. Part A.

[27]  Alan V. Oppenheim,et al.  Synchronization of Lorenz-based chaotic circuits with applications to communications , 1993 .

[28]  Ying-Cheng Lai,et al.  Controlling chaos , 1994 .

[29]  Bo Liu,et al.  Improved particle swarm optimization combined with chaos , 2005 .

[30]  H. Sira-Ramirez,et al.  Chaotic synchronization between oscillators using robust GPI control , 2008, 2008 5th International Conference on Electrical Engineering, Computing Science and Automatic Control.