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Dynamic parameter adaptation in the harmony search algorithm for the optimization of interval type-2 fuzzy logic controllers

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Abstract

At the present time there are several types of metaheuristics which have been used to solve various types of problems in the real world. These metaheuristics contain parameters that are usually fixed throughout the iterations. However, various techniques exist to adjust the parameters of an algorithm such as probabilistic, fuzzy logic, among others. This work describes the methodology and equations for building Triangular and Gaussian interval type-2 membership functions, and this methodology was applied to the optimization of a benchmark control problem with an interval type-2 fuzzy logic controller. To validate in the best way the effect of uncertainty we perform experiments using noise (Pulse generator) and without noise. Also, a statistical z-test is presented to verify the effectiveness of the proposed method. The main contribution of this article is the proposed use of the theory of interval type-2 fuzzy logic to the dynamic adjustment of parameters for the harmony search algorithm and then its application to the optimal design of interval type-2 fuzzy logic controller.

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Funding

Funding was provided by Consejo Nacional de Ciencia y Tecnología (Grant No. 122).

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Authors and Affiliations

  1. Tijuana Institute of Technology, 22379, Tijuana, Mexico

    Fevrier Valdez & Cinthia Peraza

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  1. Fevrier Valdez
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  2. Cinthia Peraza
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Correspondence to Fevrier Valdez.

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This article does not contain any studies with human participants or animals performed by any of the authors.

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Communicated by O. Castillo, D. K. Jana.

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Valdez, F., Peraza, C. Dynamic parameter adaptation in the harmony search algorithm for the optimization of interval type-2 fuzzy logic controllers. Soft Comput 24, 179–192 (2020). https://doi.org/10.1007/s00500-019-04124-x

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