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Hermite-neural-network-based adaptive control for a coupled nonlinear chaotic system

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Abstract

A TSK-type Hermite neural network (THNN) is studied in this paper. Since the output weights of the THNN use a functional-type form, it provides powerful representation, high learning performance and good generalization capability. Then, a Hermite-neural-network-based adaptive control (HNNAC) system which is composed of a neural controller and a robust compensator is proposed. The neural controller utilizes a THNN to online approximate an ideal controller, and the robust compensator is designed to eliminate the effect of the approximation error introduced by the neural controller upon the system stability. Moreover, a proportional-integral (PI)-type learning algorithm is derived to speed up the convergence of the tracking error. Finally, the proposed HNNAC system is applied to synchronize a coupled nonlinear chaotic system. In the simulation study, it shows that the proposed HNNAC system can achieve favorable synchronization performance without requiring a preliminary offline tuning.

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Acknowledgments

The authors are grateful to the reviewers for their valuable comments. The authors appreciate the partial financial support from the National Science Council of Republic of China under grant NSC 100-2628-E-032-003.

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Authors and Affiliations

  1. Department of Electrical Engineering, Tamkang University, No. 151, Yingzhuan Rd., Tamsui Dist., New Taipei City, 25137, Taiwan, ROC

    Chun-Fei Hsu

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  1. Chun-Fei Hsu
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Correspondence to Chun-Fei Hsu.

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Hsu, CF. Hermite-neural-network-based adaptive control for a coupled nonlinear chaotic system. Neural Comput & Applic 22 (Suppl 1), 421–433 (2013). https://doi.org/10.1007/s00521-012-1154-4

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