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Design of a CMAC-based smooth adaptive neural controller with a saturation compensator

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Abstract

In the conventional CMAC-based adaptive controller design, a switching compensator is designed to guarantee system stability in the Lyapunov stability sense but the undesirable chattering phenomenon occurs. This paper proposes a CMAC-based smooth adaptive neural control (CSANC) system that is composed of a neural controller and a saturation compensator. The neural controller uses a CMAC neural network to online mimic an ideal controller and the saturation compensator is designed to dispel the approximation error between the ideal controller and neural controller without any chattering phenomena. The parameter adaptive algorithms of the CSANC system are derived in the sense of Lyapunov stability, so the system stability can be guaranteed. Finally, the proposed CSANC system is applied to a Chua’s chaotic circuit and a DC motor driver. Simulation and experimental results show the CSANC system can achieve a favorable tracking performance. It should be emphasized that the development of the proposed CSANC system doesn’t need the knowledge of the system dynamics.

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Acknowledgments

The authors are grateful to the reviewers for their valuable comments. The authors appreciate partial support from the National Science Council of Republic of China under grant NSC 98-2221-E-216-040.

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Authors and Affiliations

  1. College of Engineering, Chung Hua University, Hsinchu, 30012, Taiwan, ROC

    Ming-Ching Yen

  2. Department of Electrical Engineering, Tamkang University, No. 151, Yingzhuan Rd., Danshui Dist., New Taipei, 25137, Taiwan, ROC

    Chun-Fei Hsu

  3. Department of Electrical Engineering, Chung Hua University, Hsinchu, 30012, Taiwan, ROC

    Chun-Fei Hsu & In-Hang Chung

Authors
  1. Ming-Ching Yen
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  2. Chun-Fei Hsu
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  3. In-Hang Chung
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Correspondence to Chun-Fei Hsu.

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Yen, MC., Hsu, CF. & Chung, IH. Design of a CMAC-based smooth adaptive neural controller with a saturation compensator. Neural Comput & Applic 21, 35–44 (2012). https://doi.org/10.1007/s00521-011-0615-5

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  • DOI: https://doi.org/10.1007/s00521-011-0615-5

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