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

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Abstract

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.

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References

  1. D.I.R. Almeida, J. Alvarez, J.G. Barajas, Robust synchronization of Sprott circuits using sliding mode control. Chaos Solitons Fractals 30, 11–18 (2006)

    Article  MATH  Google Scholar 

  2. Y.J. Cao, Eigenvalue optimization problems via evolutionary programming. Electron. Lett. 33, 642–643 (1997)

    Article  Google Scholar 

  3. K.M. Cuomo, A.V. Oppenheim, S.H. Strogatz, Synchronization of Lorenz-based chaotic circuits with applications to communications. IEEE Trans. Circ. Syst., II: Analog Digit. Signal Process. 40, 626–633 (1993)

    Article  Google Scholar 

  4. S.P. Ghoshal, Optimizations of PID gains by particle swarm optimizations in fuzzy based automatic generation control. Electr. Power Syst. Res. 72, 203–212 (2004)

    Article  Google Scholar 

  5. C. Hua, X. Guan, Synchronization of chaotic systems based on PI observer design. Phys. Lett. A 334, 382–389 (2005)

    Article  MATH  Google Scholar 

  6. C.K. Huang, S.C. Tsay, Y.R. Wu, Implementation of chaotic secure communication systems based on OPA circuits. Chaos Solitons Fractals 23, 589–600 (2005)

    Article  MATH  Google Scholar 

  7. J. Kenny, R. Eberhart, Particle swarm optimization, in Proc. IEEE International Conference on Neural Networks (1995), pp. 1942–1948

  8. T.L. Liao, F.W. Chen, Control of Chua’s circuit with a cubic nonlinearity via nonlinear linearization technique. Circ. Syst. Signal Process. 17, 719–731 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  9. B. Liu, L. Wang, Y.H. Jin, F. Tang, D.X. Huang, Improved particle swarm optimization combined with chaos. Chaos Solitons Fractals 25, 1261–1271 (2005)

    Article  MATH  Google Scholar 

  10. J. Lü, Controlling uncertain Lü system using linear feedback. Chaos Solitons Fractals 17, 127–133 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  11. A. Luviano-Juarez, J. Cortes-Romero, H. Sira-Ramirez, Chaotic synchronization between oscillators using robust GPI control, in Proc. IEEE International Conference on Electrical Engineering (2008), pp. 114–119

  12. A. Mozelli, D. Campos, M. Palhares, A.B. Tôrres, M.A.M. Mendes, Chaotic synchronization and information transmission experiments a fuzzy relaxed H∞ control approach. Circ. Syst. Signal Process. 26, 427–449 (2007)

    Article  MATH  Google Scholar 

  13. E. Ott, C. Grebogi, J.A. Yorke, Controlling chaos. Phys. Rev. Lett. 64, 1196–1199 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  14. L.M. Pecora, T.L. Carroll, Synchronization in chaotic systems. Phys. Rev. Lett. 64, 821–824 (1990)

    Article  MathSciNet  Google Scholar 

  15. N. Reddell, E. Bollt, T. Welch, A dual-synchrony chaotic communication scheme. Circ. Syst. Signal Process. 24, 557–570 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  16. Y. Shi, R.C. Eberhart, A modified particle swarm optimization, in Proc. IEEE International Conference on Evolutionary Computation (1998), pp. 69–73

  17. Y. Shi, R.C. Eberhart, Empirical study of particle swarm optimization, in Proc. IEEE International Conference on Evolutionary Computation (1999), pp. 1945–1950

  18. J. Tang, K. Kuribayashi, K. Watanabe, Z. Goto, Neutral-based fuzzy logic control for robot manipulators, in Proc. the Second International Conference on Knowledge-Based Intelligent Electronic Systems (1998), pp. 448–473

  19. A. Visioli, Fuzzy logic based set-point weighting for PID controllers. IEEE Trans. Syst. Man, Cybern., Pt. A 29, 587–592 (1999)

    Article  Google Scholar 

  20. S. Wang, J. Feng, S. Xie, A multiuser chaotic communication scheme by parameter division multiple access. Circ. Syst. Signal Process. 26, 839–852 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  21. Y.G. Wang, H.H. Shao, Optimal tuning for PI controller. Automatica 36, 147–152 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  22. G. Wen, Q.G. Wang, C. Lin, X. Han, G. Li, Synthesis for robust synchronization of chaotic systems under output feedback control with multiple random delays. Chaos Solitons Fractals 29, 1142–1146 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  23. C.J. Wu, G.Y. Liu, M.Y. Cheng, T.L. Lee, A neural-network-based method for fuzzy parameter tuning of PID controllers. J. Chin. Inst. Eng. 25, 265–276 (2002)

    Google Scholar 

  24. X. Zhang, L. Min, A generalized chaos synchronization based encryption algorithm for sound signal communication. Circ. Syst. Signal Process. 24, 535–548 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  25. L. Zhao, L.S. Shieh, G. Chen, N.P. Coleman, Simplex sliding mode control for nonlinear uncertain systems via chaos optimization. Chaos Solitons Fractals 23, 747–755 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  26. J. Zhou, T. Chen, L. Xiang, Chaotic lag synchronization of coupled delayed neural networks and its applications in secure communication. Circ. Syst. Signal Process. 24, 599–613 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  27. J. Zhou, H.B. Huang, G.X. Qi, P. Yang, X. Xie, Communication with spatial periodic chaos synchronization. Phys. Lett. A 335, 191–196 (2005)

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Engineering Science, National Cheng Kung University, Tainan, 70101, Taiwan, ROC

    Jen-Fuh Chang, Teh-Lu Liao & Hsin-Chieh Chen

  2. Department of Computer and Communication, Shu-Te University, Kaohsiung, 82445, Taiwan, ROC

    Jun-Juh Yan

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  1. Jen-Fuh Chang
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  2. Teh-Lu Liao
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  3. Jun-Juh Yan
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  4. Hsin-Chieh Chen
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Correspondence to Jun-Juh Yan.

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Chang, JF., Liao, TL., Yan, JJ. et al. Implementation of Synchronized Chaotic Lü Systems and Its Application in Secure Communication Using PSO-Based PI Controller. Circuits Syst Signal Process 29, 527–538 (2010). https://doi.org/10.1007/s00034-010-9161-0

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  • DOI: https://doi.org/10.1007/s00034-010-9161-0

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