Adaptive Synchronization of Uncertain Chaotic Systems via Neural Network-Based Dynamic Surface Control Design
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In this paper, the adaptive synchronization problem is investigated for a class of uncertain chaotic systems. By using the RBF networks to approximation unknown functions of the master system, an adaptive neural synchronization scheme is proposed with the combination of backstepping technique and dynamic surface control (DSC). This proposed method, similar to backstepping but with an important addition, can overcome the “explosion of complexity” of the traditional backstepping by introducing a first-order filtering. Thus, the closed-loop stability and asymptotic synchronization can be achieved. Finally, simulation results are presented to illustrate the effectiveness of the approach.
Keywordssynchronization backstepping dynamic surface neural networks chaotic system
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- 3.Krstic, M., Kanellakopoulos, I., Kokotovic, P.V.: Nonlinear and Adaptive Control Design. Wiley, New York (1995)Google Scholar
- 12.Zhang, H., Ma, X.K., Yang, Y., Xu, C.D.: Generalized synchronization of hyperchaos and chaos using active backstepping design. Chinese Physics 14, 1009–1963 (2005)Google Scholar
- 13.Chen, C.L., Yan, H.T., Peng, C.C.: Design of backstepping sliding mode controller for control of chaotic systems. Int. J. of Nonlinear Sciences and Numerical Simulation 8, 137–146 (2007)Google Scholar