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Synchronization of unified chaotic system via adaptive wavelet cerebellar model articulation controller

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Abstract

This study aims to propose a more efficient control algorithm for the chaotic system synchronization. In this study, a novel wavelet cerebellar model articulation controller (WCMAC) is proposed, which incorporates the wavelet decomposition property with a cerebellar model articulation controller (CMAC). This WCMAC is a generalization network; in some special cases, it can be reduced to a wavelet neural network, a neural network and a conventional CMAC. Then, an adaptive wavelet cerebellar model articulation control system (AWCCS) is proposed to synchronize a unified chaotic system. In this AWCCS, WCMAC is the main controller utilized to mimic a perfect controller and the parameters of WCMAC are online adjusted by the derived adaptive laws; and a compensation controller is designed to dispel the residual of the approximation error for achieving \( H^{\infty } \) robust performance. The derived AWCCS is then applied to the chaotic system synchronization control. Finally, the effectiveness of the proposed control system is demonstrated through simulation results.

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Authors and Affiliations

  1. Department of Electrical Engineering, Yuan Ze University, No. 135, Far-East Rd., Chung-Li, Tao-Yuan, Taiwan, 320, Republic of China

    Chih-Min Lin & Rong-Guan Yeh

  2. Chung Shan Institute of Science and Technology, Taoyuan, Taiwan, Republic of China

    Ming-Hung Lin

Authors
  1. Chih-Min Lin
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  2. Ming-Hung Lin
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  3. Rong-Guan Yeh
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Correspondence to Chih-Min Lin.

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Lin, CM., Lin, MH. & Yeh, RG. Synchronization of unified chaotic system via adaptive wavelet cerebellar model articulation controller. Neural Comput & Applic 23, 965–973 (2013). https://doi.org/10.1007/s00521-012-1021-3

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  • DOI: https://doi.org/10.1007/s00521-012-1021-3

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