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Impact Study of the Footprint of Uncertainty in Control Applications Based on Interval Type-2 Fuzzy Logic Controllers

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Book cover Fuzzy Logic Augmentation of Neural and Optimization Algorithms: Theoretical Aspects and Real Applications

Part of the book series: Studies in Computational Intelligence ((SCI,volume 749))

Abstract

Fuzzy control is one of the most important applications of Fuzzy Logic, and with the emergence of Type-2 Fuzzy Logic, now Type-2 Fuzzy Logic Controllers provide the possibility of consider the uncertainty in the controller design, and these results are very useful for noisy environments and with multiple uncertainty sources. However, it is important to identify the relationship between the FOU and noise robustness, observing the behavior of the IT2 FLC with different FOUs in different uncertainty context. The main goal of this paper is to evaluate the impact of the Footprint of Uncertainty (FOU) in the performance of an Interval Type-2 Fuzzy Logic Controllers (IT2 FLC). The experiments considered two plants, evaluating the performance of the same IT2 FLC by changing only the FOU, evaluated in with different noise levels, this in order to find the controller behavior by the variation of the FOU. In addition, we propose to use a heuristic optimization method based on the behavior knowledge and by adjusting the FOU.

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Authors and Affiliations

  1. Tijuana Institute of Technology, Tijuana, Mexico

    Emanuel Ontiveros, Patricia Melin & Oscar Castillo

Authors
  1. Emanuel Ontiveros
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  2. Patricia Melin
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  3. Oscar Castillo
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Corresponding author

Correspondence to Oscar Castillo .

Editor information

Editors and Affiliations

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

    Oscar Castillo

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

    Patricia Melin

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

    Janusz Kacprzyk

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Ontiveros, E., Melin, P., Castillo, O. (2018). Impact Study of the Footprint of Uncertainty in Control Applications Based on Interval Type-2 Fuzzy Logic Controllers. In: Castillo, O., Melin, P., Kacprzyk, J. (eds) Fuzzy Logic Augmentation of Neural and Optimization Algorithms: Theoretical Aspects and Real Applications. Studies in Computational Intelligence, vol 749. Springer, Cham. https://doi.org/10.1007/978-3-319-71008-2_15

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  • DOI: https://doi.org/10.1007/978-3-319-71008-2_15

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-71007-5

  • Online ISBN: 978-3-319-71008-2

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