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Fuzzy Control of Nonlinear Systems Using Nonlinearized Parameterization

  • Conference paper
New Directions in Rough Sets, Data Mining, and Granular-Soft Computing (RSFDGrC 1999)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1711))

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Abstract

In the most of adaptive fuzzy control schemes presented so far still only the parameters (weights of each rule’s consequent), which appear linearly in the radial basis function (RBF) expansion, were tuned. The major disadvantage is that the precision of the parameterized fuzzy approximator can not be guaranteed. Consequently, the control performance has been influenced. In this paper, we not only tune the weighting parameters but tune the variances which appears nonlinearly in the RBF to reduce the approximation error and improve control performance, using a lemma by Annaswamy et al. (1998) which was named as concave/convex parameterization. Global boundedness of the overall adaptive system and tracking to within precision are established with the proposed adaptive controller.

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Author information

Authors and Affiliations

  1. School of Business, Hiroshima Prefectural University, Shobara-shi, Hiroshima, 727-0023, Japan

    Hugang Han

  2. Kyusyu Institute of Technology, Sensui-cho, Faculty of Engineering, Tobata-ku, Kitakyushu, 804-8550, Japan

    Hiroko Kawabata

Authors
  1. Hugang Han
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  2. Hiroko Kawabata
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Editor information

Editors and Affiliations

  1. The International WIC Institute, Beijing University of Technology, China

    Ning Zhong

  2. Institute of Mathematics, Warsaw University, Banacha 2, 02-097, Warsaw, Poland

    Andrzej Skowron

  3. Professor Emeritus, University of Tokyo,  

    Setsuo Ohsuga

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© 1999 Springer-Verlag Berlin Heidelberg

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Han, H., Kawabata, H. (1999). Fuzzy Control of Nonlinear Systems Using Nonlinearized Parameterization. In: Zhong, N., Skowron, A., Ohsuga, S. (eds) New Directions in Rough Sets, Data Mining, and Granular-Soft Computing. RSFDGrC 1999. Lecture Notes in Computer Science(), vol 1711. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-48061-7_29

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  • DOI: https://doi.org/10.1007/978-3-540-48061-7_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66645-5

  • Online ISBN: 978-3-540-48061-7

  • eBook Packages: Springer Book Archive

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