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Comparison Between Interval Type-2 and Three Valued Algebra Fuzzy Logic Controllers

  • Erika Vanegas-MorenoEmail author
  • Carlos-Andrés Cholo
  • Jairo Soriano-Mendez
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 657)

Abstract

The following article shows the implementation of fuzzy logic controllers Type-1 and Interval Type-2, designed firstly for a diesel motor and implemented on a nonlinear second order system. Additionally, another way of implementing the Type-2 fuzzy logic controllers, is shown, using Kleene algebra, due to its benefits during the implementation of a simple function. Likewise, a variation is performed where a type reduction is applied to an algebraic expression. Finally, it is desired to observe the behavior of the controllers given the uncertainty sources.

Keywords

Type-1 FLC IT2 FLC Kleene algebra Limit cycles Type reduction Simple function 

References

  1. 1.
    Duran, L.K., Melgarejo, M.A.: Implementación hardware del algoritmo karnik-mendel mejorado basada en operadores cordic. Ingeniería y Competitividad 11(2), 21–39 (2009)Google Scholar
  2. 2.
    Hernández, I., Ochoa, C.: Control difuso y construcción de un mecanismo capaz de golpear con distintos efectos una bola de billar (2012)Google Scholar
  3. 3.
    Johnsonbaugh, R., Osuna, M.G.: Matemáticas Discretas. Pearson Educación, Upper Saddle River (2005)Google Scholar
  4. 4.
    Lynch, C., Hagras, H., Callaghan, V.: Embedded type-2 FLC for real-time speed control of marine and traction diesel engines. In: The 2005 14th IEEE International Conference on Fuzzy Systems, FUZZ 2005, pp. 347–352. IEEE (2005)Google Scholar
  5. 5.
    Mendel, J.M.: Fuzzy logic systems for engineering: a tutorial. Proc. IEEE 83(3), 345–377 (1995)CrossRefGoogle Scholar
  6. 6.
    Méndez, J.J.S.: Diseño y simulación de un controlador difuso de temperatura empleando el concresor basado en relaciones Booleanas. Tecnura 16(32), 29–40 (2012)CrossRefGoogle Scholar
  7. 7.
    Nguyen, H.T., Walker, E.A.: A First Course in Fuzzy Logic. CRC Press, Boca Raton (2005)zbMATHGoogle Scholar
  8. 8.
    Salazar, O.: Método de diseño y optimización de controladores difusos FIS-BBR cuasi-estándar por medio de lógicas clásica y trivalente de Kleene (2014)Google Scholar
  9. 9.
    Strogatz, S.H.: Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering. Westview press, Boulder (2014)zbMATHGoogle Scholar

Copyright information

© Springer International Publishing AG 2016

Authors and Affiliations

  • Erika Vanegas-Moreno
    • 1
    Email author
  • Carlos-Andrés Cholo
    • 1
  • Jairo Soriano-Mendez
    • 1
  1. 1.Faculty of EngineeringUniversidad Distrital Francisco José de CaldasBogotáColombia

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