Vol.3 , No. 1, Publication Date: Jan. 16, 2018, Page: 17-21
[1] | Yanjun Liang, School of Computer and Information Engineering, Anyang Normal University, Anyang, China. |
[2] | Junqi Liang, Shanghai Sunking Construction Management & Consulting Co, Ltd, Shanghai, China. |
[3] | Zhongsheng Wang, Department of Automation, Guangdong Polytechnic Normal University, Guangzhou, China. |
Problem of chaotic synchronization for secure communication is studied. Partial state synchronization for a class of chaos systems with uncertain parameters is investigated. The different values of the uncertain parameters represent different chaos systems. Partial state variables synchronization control for the class of uncertain chaos systems is developed. In order to make certain state variables asymptotically stable and adaptive parameters identify the uncertain parameters, using partial state stability theory and adaptive control method, a Lyapunov function is constructed, partial state variables synchronization controller and adaptive regulator are designed for the class of uncertain chaos systems. Layapunov stability theory is employed in proving the theory correctness of the controller and regulators. Numerical simulation results illustrate the effectiveness of the proposed controller and adaptive regulators.
Keywords
Chaos Systems, Secure Communication, Adaptive Control
Reference
[01] | L. M. Pecora, T. L. Carroll. Synchronization in chaotic system. Physical Review Letters, 1990, 64 (8): 821–824. |
[02] | G. Chen, X. Dong. From Chaos to Order. Singapore: WordScientific, 1998. |
[03] | E. Ott, C. Grebogi, JA Yorke. Controlling chaos. Physical Review Letters, 1990, 64 (11): 1196–1199. |
[04] | L. F. Zhang, X. L. An, J G Zhang. A new chaos synchronization scheme and its application to secure communications. Nonlinear Dynamics, 2013, 73 (1/2): 705-722. |
[05] | A. D. Mengue, B. Z. Essimbi. Secure communication using chaotic synchronization in mutually coupled semiconductor lasers. Nonlinear Dynamics, 2012, 70 (2): 1241-1253. |
[06] | J. W. Sun, Y. Shen, Q. Yin, et al. Compound synchronization of four memristor chaotic oscillator systems and secure communication. Chaos, 2013, 23 (1): 013140. |
[07] | R. Z. Luo, Y. L. Wang. Finite-time stochastic combination synchronization of three different chaotic systems and its application in secure communication. Chaos, 2012, 22 (2): 023109. |
[08] | R. M. Nguimdo, P. Colet, L. Larger, et al. Digital key for chaos communication performing time delay concealment. Physical Review Letters, 2011, 107 (3): 034103. |
[09] | G. B. Lemos, G. Benenti. Role of chaos in quantum communication through a dynamical dephasing channel. Physical Review A, 2010, 81 (6): 062331. |
[10] | H. P. Ren, S. P. Baptista, C. Grebogi. Wireless communication with chaos. Physical Review Letters, 2013, 110 (18): 184101. |
[11] | J. Zhou, L. Xiang, Z. R. Liu. Global synchronization in general complex delayed dynamical networks and its applications. Physica A: Statistical Mechanics and its Applications, 2007, 385 (2): 728-742. |
[12] | J. Zhou, T. Chen, L. Xiang. Chaotic lag synchronization of coupled delayed neural networks and its applications in secure communication. Circuits, Systems, and Signal Processing, 2005, 24 (5): 599-613. |