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

  • Emanuel Ontiveros
  • Patricia Melin
  • Oscar CastilloEmail author
Part of the Studies in Computational Intelligence book series (SCI, volume 749)


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.


Fuzzy control Interval Type-2 Fuzzy Logic Footprint of uncertainty 


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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • Emanuel Ontiveros
    • 1
  • Patricia Melin
    • 1
  • Oscar Castillo
    • 1
    Email author
  1. 1.Tijuana Institute of TechnologyTijuanaMexico

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