Chaos-based Secure Communication via Continuous Variable Structure Control

Authors: Cheng-Fang Huang, Meei-Ling Hung, Teh-Lu Liao, Her-Terng Yau, Jun-Juh Yan

Abstract:

The design of chaos-based secure communication via synchronized modified Chua-s systems is investigated in this paper. A continuous control law is proposed to ensure synchronization of the master and slave modified Chua-s systems by using the variable structure control technique. Particularly, the concept of extended systems is introduced such that a continuous control input is obtained to avoid chattering phenomenon. Then, it becomes possible to ensure that the message signal embedded in the transmitter can be recovered in the receiver.

Keywords: Chaos, Secure communication, Synchronization, Variable structure control (VSC)

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1081685

References:

[1] L. M. Pecora and T. L Carroll, "Synchronization in chaotic systems," Physical Review Letters, vol .64(8), pp. 821-824, 1990.
[2] C. K. Huang, S. C. Tsay and Y. R. Wu, "Implementation of chaotic secure communication systems based on OPA circuits," Chaos, Solitons & Fractals, vol. 23(1), pp. 589-600, 2005.
[3] N. Reddell, E. Bollt, and T. Welch, "A Dual-Synchrony Chaotic Communication Scheme," Circuits, Systems, and Signal Processing, vol. 24(5), pp. 557-570, 2005.
[4] S. Wang, J. Feng, and S. Xie, "A Multiuser Chaotic Communication Scheme by Parameter Division Multiple Access." Circuits, Systems, and Signal Processing, vol. 26, pp. 839-852, 2007.
[5] X. Zhang, and L. Min, "A generalized chaos synchronization based encryption algorithm for sound signal communication," Circuits, Systems, and Signal Processing, vol. 24(5), pp. 535-548, 2005.
[6] J. Zhou, T. Chen, and L. Xiang, "Chaotic lag synchronization of coupled delayed neural networks and its applications in secure communication," Circuits, Systems, and Signal Processing, vol. 24(5), pp. 599-613, 2005.
[7] J. Zhou, H. B. Huang, G. X. Qi, P. Yang, and X. Xie, "Communication with spatial periodic chaos synchronization," Physics Letters A, vol. 335, pp. 191-196, 2005.
[8] T. I. Chien, and T. L. Liao, "Design of secure digital communication systems using chaotic modulation, cryptography and chaotic synchronization," Chaos, Solitons and Fractals, vol. 24(1), pp. 241-255, 2005.
[9] Z. Li, K. Li, C. Wen, and Y. C. Soh, "A new chaotic secure communication system," IEEE Trans on Commun, vol. 51(8), pp. 1306-1312, 2003.
[10] Z. Li, and D. Xu, "A secure communication scheme using projective chaos synchronization," Chaos, Solitions & Fractal, vol. 22(2), pp. 477-481, 2004.
[11] H. T. Yau, C. K. Chen, and C. L. Chen, "Sliding mode control of chaotic systems with uncertainties," International Journal of Bifurcation and Chaos, vol. 10(5), pp. 1139-1147, 2000.
[12] M. T. Yassen, "Adaptive control and synchronization of a modified Chua-s circuit system," Applied Math. and Computation, vol. 135, pp. 113-128, 2003.
[13] V. I. Utkin, "Sliding Mode and Their Applications in Variable Structure Systems," Mir: Moscow, 1978.
[14] V. M. Popov, Hyperstability of Control System, Springer: Berlin, 1973.