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Modeling and Simulation of the Defuzzification Stage of a Type-2 Fuzzy Controller Using the Xilinx System Generator and Simulink

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Evolutionary Design of Intelligent Systems in Modeling, Simulation and Control

Part of the book series: Studies in Computational Intelligence ((SCI,volume 257))

Abstract

This paper is focused on the study, analysis and development of code for the defuzzification stage of type-2 fuzzy systems, through the average of two type-1 fuzzy systems. This proposal is based on the average method for systems where the type-2 membership functions of the inputs and output, have no uncertainty in the mean or center. The codification is done using the hardware description language VHDL, and it was exported to Simulink through the Xilinx System Generator (XSG). Comparative tests were conducted between the type-2 fuzzy systems for different number of bits and noise levels.

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Author information

Authors and Affiliations

  1. Centro de Investigación y Desarrollo de Tecnología Digital del Instituto Politécnico Nacional, Av. del Parque No.1310, Mesa de Otay, 22510, Tijuana, B.C., México

    Roberto Sepúlveda & Oscar Montiel

  2. M.S. Student at CITEDI-IPN,  

    Gabriel Lizárraga

  3. Division of Graduate Studies and Research, Calzada Tecnológico S/N, Tijuana, B.C., México

    Oscar Castillo

Authors
  1. Roberto Sepúlveda
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  2. Oscar Montiel
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  3. Gabriel Lizárraga
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  4. Oscar Castillo
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Editor information

Editors and Affiliations

  1. Department of Computer Science, Tijuana Institute of Technology, P.O. Box 4207, 91909, Chula Vista, CA, USA

    Oscar Castillo

  2. Dept. Electrical and Computer Engineering, University of Alberta, T6J 2V4, Edmonton, Alberta, Canada

    Witold Pedrycz

  3. Systems Research Institute, Polish Academy of Sciences, Newelska, 601-447, Warszawa, Poland

    Janusz Kacprzyk

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Sepúlveda, R., Montiel, O., Lizárraga, G., Castillo, O. (2009). Modeling and Simulation of the Defuzzification Stage of a Type-2 Fuzzy Controller Using the Xilinx System Generator and Simulink. In: Castillo, O., Pedrycz, W., Kacprzyk, J. (eds) Evolutionary Design of Intelligent Systems in Modeling, Simulation and Control. Studies in Computational Intelligence, vol 257. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04514-1_18

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  • DOI: https://doi.org/10.1007/978-3-642-04514-1_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04513-4

  • Online ISBN: 978-3-642-04514-1

  • eBook Packages: EngineeringEngineering (R0)

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