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Fuzzy Dynamic Parameter Adaptation in the Harmony Search Algorithm for the Optimization of the Ball and Beam Controller

Author

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  • Cinthia Peraza
  • Fevrier Valdez
  • Juan R. Castro
  • Oscar Castillo

Abstract

This paper presents a method for dynamic parameter adaptation in the harmony search algorithm (HS) based on fuzzy logic. The adaptation is performed using Type 1 (FHS), interval Type 2 (IT2FHS), and generalized Type 2 (GT2FHS) fuzzy systems as the number of improvisations or iterations advances, achieving a better intensification and diversification. The main contribution of this work is the dynamic parameter adaptation using different types of fuzzy systems in the harmony search algorithm applied to optimization of the membership functions for a benchmark control problem; in this case it is focused on the ball and beam controller. Experiments are presented with the HS, FHS, IT2FHS, and GT2FHS with noise (uniform random number) and without noise for the controller, and the following error metrics are obtained: ITAE, ITSE, IAE, ISE, and RMSE, to validate the efficacy of the proposed methods.

Suggested Citation

  • Cinthia Peraza & Fevrier Valdez & Juan R. Castro & Oscar Castillo, 2018. "Fuzzy Dynamic Parameter Adaptation in the Harmony Search Algorithm for the Optimization of the Ball and Beam Controller," Advances in Operations Research, Hindawi, vol. 2018, pages 1-16, August.
    • Handle: RePEc:hin:jnlaor:3092872
    DOI: 10.1155/2018/3092872
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    Cited by:

    1. Oscar Castillo & Fevrier Valdez & Cinthia Peraza & Jin Hee Yoon & Zong Woo Geem, 2021. "High-Speed Interval Type-2 Fuzzy Systems for Dynamic Parameter Adaptation in Harmony Search for Optimal Design of Fuzzy Controllers," Mathematics, MDPI, vol. 9(7), pages 1-18, April.
    2. Pavan Kumar & Hamiden Abd El-Wahed Khalifa, 2023. "Enhancing Decomposition Approach for Solving Multi-Objective Dynamic Non-Linear Programming Problems Involving Fuzziness," Mathematics, MDPI, vol. 11(14), pages 1-16, July.

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