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Optimization of Fuzzy Systems Through Metaheuristics in Control Systems

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Recent Advances of Hybrid Intelligent Systems Based on Soft Computing

Part of the book series: Studies in Computational Intelligence ((SCI,volume 915))

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Abstract

Although there are modern computational methods that we can use to solve minimum or maximum problems in different areas, it is good to use classical or semi-there are various types of membership functions. This depends on the problem to be treated. The most used are triangular, trapezoidal, Gaussian among others. For this particular case within this writing we will use the triangular and Gaussian ones. As it is already known through optimization we can come up with the best solution for a particular problem. Since this does not work for all cases in general. For this reason, we will be using in this work Differential Evolution Algorithm (DEA) to optimize a fuzzy system, for the application of this in control as a inverted pendulum system. Similarly, the proposed methodology for optimizing the system is analyzed and explained.

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Acknowledgements

We are very grateful to CONACYT (National Council of Science Technology). It is also very important to mention the TecNM (National Technological Institute of Mexico) and Tijuana Institute Technology.

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Authors and Affiliations

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

    Víctor Ortiz, Oscar Castillo & Prometeo Cortés-Antonio

Authors
  1. Víctor Ortiz
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  2. Oscar Castillo
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  3. Prometeo Cortés-Antonio
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Corresponding author

Correspondence to Oscar Castillo .

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Editors and Affiliations

  1. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Mexico

    Patricia Melin

  2. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Mexico

    Oscar Castillo

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

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Ortiz, V., Castillo, O., Cortés-Antonio, P. (2021). Optimization of Fuzzy Systems Through Metaheuristics in Control Systems. In: Melin, P., Castillo, O., Kacprzyk, J. (eds) Recent Advances of Hybrid Intelligent Systems Based on Soft Computing. Studies in Computational Intelligence, vol 915. Springer, Cham. https://doi.org/10.1007/978-3-030-58728-4_17

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