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High-Speed Interval Type-2 Fuzzy Systems for Dynamic Parameter Adaptation in Harmony Search for Optimal Design of Fuzzy Controllers

Author

Listed:
  • Oscar Castillo

    (Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana 22414, Mexico)

  • Fevrier Valdez

    (Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana 22414, Mexico)

  • Cinthia Peraza

    (Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana 22414, Mexico)

  • Jin Hee Yoon

    (School of Mathematics and Statistics, Sejong University, Seoul 05006, Korea)

  • Zong Woo Geem

    (College of IT Convergence, Gachon University, Seongnam 13120, Korea)

Abstract

Fuzzy systems have become a good solution to the problem of fixed parameters in metaheuristic algorithms, proving their efficiency when performing dynamic parameter adaptations using type-1 and type-2 fuzzy logic. However, the computational cost of type-2 fuzzy systems when using the continuous enhanced Karnik–Mendel (CKM) algorithm for type-reduction, when applied to control and optimization, is too high. Therefore, it is proposed to use an approximation to the CKM algorithm in the type-2 fuzzy system for adjusting the pitch adjustment rate (PArate) parameter in the original harmony search algorithm (HS). The main contribution of this article is to verify that the implementation of the proposed methodology achieves results that are equivalent to the interval type-2 fuzzy system with the CKM algorithm, but in less computing time and also allowing an efficient dynamic parameter adaptation. It is noteworthy that this method is relatively new in the area of metaheuristics algorithms so there is a current interest to work with this methodology. The proposed method was used in optimizing the antecedents and consequents for an interval type-2 fuzzy controller of direct current motor. Experimental results without noise and then with uniform random noise numbers (Gaussian noise) in the controller were obtained to verify that the implementation is efficient when compared to conventional and other existing methods.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:7:p:758-:d:528266
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    References listed on IDEAS

    as
    1. 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.
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    Cited by:

    1. Gerardo Maximiliano Méndez & Ismael López-Juárez & María Aracelia Alcorta García & Dulce Citlalli Martinez-Peon & Pascual Noradino Montes-Dorantes, 2023. "The Enhanced Wagner–Hagras OLS–BP Hybrid Algorithm for Training IT3 NSFLS-1 for Temperature Prediction in HSM Processes," Mathematics, MDPI, vol. 11(24), pages 1-33, December.
    2. Gerardo Armando Hernández Castorena & Gerardo Maximiliano Méndez & Ismael López-Juárez & María Aracelia Alcorta García & Dulce Citlalli Martinez-Peon & Pascual Noradino Montes-Dorantes, 2024. "Parameter Prediction with Novel Enhanced Wagner Hagras Interval Type-3 Takagi–Sugeno–Kang Fuzzy System with Type-1 Non-Singleton Inputs," Mathematics, MDPI, vol. 12(13), pages 1-39, June.
    3. Chun-Tang Chao & Ding-Horng Chen & Juing-Shian Chiou, 2021. "Stability Analysis and Robust Stabilization of Uncertain Fuzzy Time-Delay Systems," Mathematics, MDPI, vol. 9(19), pages 1-13, October.

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