Synchronization control of chaotic systems using adaptive recurrent wavelet CMAC

Author

Lin, Chih-Min ; Lin, Ming-Hung ; Li, Hsin-Yi

Author_Institution

Dept. of Electr. Eng., Yuan Ze Univ., Chungli, Taiwan

fYear

2010

fDate

18-23 July 2010

Firstpage

1

Lastpage

6

Abstract

This study proposes a synchronization control of chaotic systems by using an adaptive recurrent wavelet cerebellar model articulation controller (RWCMAC). The proposed adaptive RWCMAC system contains a RWCMAC and a fuzzy compensation controller. Due to favorable capability of wavelet, the wavelet function is used as a base function of CMAC. Based on Lyapunov stability theory, the parameters of RWCMAC are on-line tuned; and the fuzzy compensation controller is designed to eliminate approximation error between ideal controller and RWCMAC. The developed control system is applied to control an unified chaotic system. The simulation results demonstrate the effectiveness of the proposed control scheme.

Keywords

Lyapunov methods; adaptive control; cerebellar model arithmetic computers; fuzzy control; neurocontrollers; recurrent neural nets; stability; synchronisation; wavelet transforms; Lyapunov stability theory; adaptive recurrent wavelet CMAC; cerebellar model articulation controller; chaotic systems; fuzzy compensation controller; synchronization control; wavelet function; Adaptive systems; Aerospace electronics; Approximation error; Chaos; Control systems; Lyapunov method; Synchronization; Lyapunov stability theory; synchronization; wavelet function;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems (FUZZ), 2010 IEEE International Conference on

Conference_Location

Barcelona

ISSN

1098-7584

Print_ISBN

978-1-4244-6919-2

Type

conf

DOI

10.1109/FUZZY.2010.5584175

Filename

5584175