Adaptive synchronization in presence of noise with application to telecommunications

The problem of synchronization of chaotic systems in the presence of additive bounded noise is considered. Two kinds of adaptive synchronization algorithms are investigated: a) based on parametric feedback; b) using dead zone. The results are illustrated by numerical examples of synchronization of the Chua systems. Appication of proposed adaptive synchronization algorithms to the problem of signal transmission is discussed.

[1]  Henk Nijmeijer,et al.  c ○ World Scientific Publishing Company ADAPTIVE OBSERVER-BASED SYNCHRONIZATION FOR COMMUNICATION , 1999 .

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

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

[4]  Alexander L. Fradkov,et al.  Nonlinear Adaptive Control: Regulation-Tracking-Oscillations , 1994 .

[5]  Leon O. Chua,et al.  Experimental Demonstration of Secure Communications via Chaotic Synchronization , 1992, Chua's Circuit.

[6]  Alexander L. Fradkov,et al.  Adaptive synchronization of chaotic systems based on speed gradient method and passification , 1997 .

[7]  P. Lion.  Rapid identification of linear and nonlinear systems. , 1967 .

[8]  Michael Peter Kennedy,et al.  Chaos shift keying : modulation and demodulation of a chaotic carrier using self-sychronizing chua"s circuits , 1993 .

[9]  Alexander S. Dmitriev,et al.  FINE STRUCTURE OF CHAOTIC ATTRACTOR FOR MULTIPLE-ACCESS COMMUNICATIONS , 1999 .

[10]  Alexander L. Fradkov,et al.  Information transmission by adaptive synchronization with chaotic carrier and noisy channel , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[11]  Henk Nijmeijer,et al.  System identification in communication with chaotic systems , 2000 .

[12]  S. Sastry,et al.  Adaptive Control: Stability, Convergence and Robustness , 1989 .

[13]  Alexander L. Fradkov,et al.  NONLINEAR ADAPTIVE CONTROL: REGULATION-TRACKING-OSCILLATIONS , 1994 .

[14]  William C. Lindsey,et al.  SYNCHRONIZATION SYSTEMS in Communication and Control , 1972 .

[15]  Paul M. Lion,et al.  Rapid identification of linear and nonlinear systems , 1966 .

[16]  Michael Rosenblum,et al.  Synchronization and chaotization in interacting dynamical systems , 1995 .

[17]  Leon O. Chua,et al.  ON ADAPTIVE SYNCHRONIZATION AND CONTROL OF NONLINEAR DYNAMICAL SYSTEMS , 1996 .