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Machine Tuning of Stable Analytical Fuzzy Predictive Controllers

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Adaptive and Natural Computing Algorithms (ICANNGA 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5495))

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Abstract

Analytical fuzzy predictive controllers are composed of a few local controllers grouped in the fuzzy Takagi–Sugeno model. Usually, they are designed using the PDC method. Stability of the resulting system (controller + control plant) may be checked using variants of Lyapunov stability criterion. One of the first such variants was the criterion developed by Tanaka and Sugeno. It is rather conservative criterion because, in its basic form, it does not take into consideration the shape of the membership functions. However, this drawback can be exploited in the proposed approach. After finding the Lyapunov matrix for the system with the analytical fuzzy predictive controller, using e.g. LMIs, it is possible to change the membership functions of the controller without sacrificing stability. It is done using the heuristic method. Thus, practically any shape of membership functions may be assumed.

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Authors and Affiliations

  1. Institute of Control and Computation Engineering, Warsaw University of Technology, ul. Nowowiejska 15/19, 00–665, Warszawa, Poland

    Piotr M. Marusak

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  1. Piotr M. Marusak
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Editors and Affiliations

  1. Department of Environmental Sciences, University of Kuopio, PO Box 1627, FIN-70211, Kuopio, Finland

    Mikko Kolehmainen

  2. Department of Computer Science, University of Kuopio, P.O.Box 1627, 70211, Kuopio, Finland

    Pekka Toivanen

  3. Institute of Control and Industrial Electronics, Warsaw University of Technology, ul. Koszykowa 75, 00-662, Warszawa, Poland

    Bartlomiej Beliczynski

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© 2009 Springer-Verlag Berlin Heidelberg

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Marusak, P.M. (2009). Machine Tuning of Stable Analytical Fuzzy Predictive Controllers. In: Kolehmainen, M., Toivanen, P., Beliczynski, B. (eds) Adaptive and Natural Computing Algorithms. ICANNGA 2009. Lecture Notes in Computer Science, vol 5495. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04921-7_44

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  • DOI: https://doi.org/10.1007/978-3-642-04921-7_44

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04920-0

  • Online ISBN: 978-3-642-04921-7

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