IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i7p758-d528266.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/7/758/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/7/758/
    Download Restriction: no
    ---><---

    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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 1-40, 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:9:y:2021:i:7:p:758-:d:528266. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.