CMAC-based adaptive backstepping synchronization of uncertain chaotic systems

Abstract This study proposes an adaptive backstepping control system for synchronizing uncertain chaotic system by using cerebellar model articulation controller (CMAC). CMAC is a nonlinear network with simple computation, good generalization capability and fast learning property. The proposed CMAC-based adaptive backstepping control (CABC) system uses backstepping method and adaptive cerebellar model articulation controller (ACMAC) for synchronizing uncertain chaotic system. Finally, simulation results for the Genesio system are presented to illustrate the effectiveness of the proposed control system.

[1]  Ju H. Park.  Synchronization of Genesio chaotic system via backstepping approach , 2006 .

[2]  Aníbal R. Figueiras-Vidal,et al.  Generalizing CMAC architecture and training , 1998, IEEE Trans. Neural Networks.

[3]  M. Yassen.  Controlling, synchronization and tracking chaotic Liu system using active backstepping design , 2007 .

[4]  James S. Albus,et al.  Data Storage in the Cerebellar Model Articulation Controller (CMAC) , 1975 .

[5]  Chih-Min Lin,et al.  RCMAC Hybrid Control for MIMO Uncertain Nonlinear Systems Using Sliding-Mode Technology , 2007, IEEE Transactions on Neural Networks.

[6]  James S. Albus,et al.  New Approach to Manipulator Control: The Cerebellar Model Articulation Controller (CMAC)1 , 1975 .

[7]  Jiye Zhang,et al.  Synchronizing chaotic systems using backstepping design , 2003 .

[8]  Chih-Min Lin,et al.  Adaptive CMAC-based supervisory control for uncertain nonlinear systems , 2004, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[9]  Chih-Min Lin,et al.  Wavelet Adaptive Backstepping Control for a Class of Nonlinear Systems , 2006, IEEE Transactions on Neural Networks.

[10]  D.A. Handelman,et al.  Theory and development of higher-order CMAC neural networks , 1992, IEEE Control Systems.

[11]  Alberto Tesi,et al.  Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems , 1992, Autom..

[12]  Suochun Zhang,et al.  Adaptive backstepping synchronization of uncertain chaotic system , 2004 .

[13]  Samuel Bowong,et al.  Synchronization of uncertain chaotic systems via backstepping approach , 2004 .

[14]  S. Ge,et al.  Adaptive synchronization of uncertain chaotic systems via backstepping design , 2001 .

[15]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[16]  Bor-Sen Chen,et al.  H∞ tracking design of uncertain nonlinear SISO systems: adaptive fuzzy approach , 1996, IEEE Trans. Fuzzy Syst..

[17]  Juebang Yu,et al.  Chaos synchronization using single variable feedback based on backstepping method , 2004 .

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