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International Conference on Neural Information Processing

ICONIP 2014: Neural Information Processing pp 462–469Cite as

Continuity of Discrete-Time Fuzzy Systems

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8835))

Abstract

The purpose of this study is to prove the existence of IF-THEN fuzzy rules which minimize the performance functional of the nonlinear discrete-time feedback control. In our previous study, the problem of fuzzy optimal control was considered as the problem of finding the minimum (maximum) value of the performance function with fuzzy approximate reasoning. This study analyzes a discrete-time system to make numerical simulation of a real model more simple and fast. A continuity of fuzzy approximate reasoning on the compact set of membership functions selected from continuous function space guarantees an optimal control.

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References

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Author information

Authors and Affiliations

  1. University of Marketing and Distribution Sciences, Kobe, Japan

    Takashi Mitsuishi, Nami Shimada & Kiyoshi Sawada

  2. Hokkaido Hakodate Technical High School, Hakodate, Japan

    Takanori Terashima

  3. Kyushu Sangyo University, Fukuoka, Japan

    Koji Saigusa

  4. Osaka University of Economics, Osaka, Japan

    Toshimichi Homma

  5. Shinshu University, Nagano, Japan

    Yasunari Shidama

Authors
  1. Takashi Mitsuishi
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  2. Takanori Terashima
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  3. Koji Saigusa
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  4. Nami Shimada
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  5. Toshimichi Homma
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  6. Kiyoshi Sawada
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  7. Yasunari Shidama
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Editor information

Editors and Affiliations

  1. Department of Artificial Intelligence, Faculty of Computer Science and Information Technology Building, University of Malaya, 50603, Kuala Lumpur, Malaysia

    Chu Kiong Loo

  2. Department of Electronics and Communication Engineering, College of Engineering, Universiti Tenaga Nasional, Jalan IKRAM-UNITEN, 43009, Kajang, Selangor, Malaysia

    Keem Siah Yap

  3. School of Engineering and Information Technology, Murdoch University, South St., 6150, Murdoch, Western Australia, Australia

    Kok Wai Wong

  4. Department of Electrical and Electronics Engineering, Yonsei University, 50 Yonsei-ro, Seodaemun-gu, 120-749, Seoul, South Korea

    Andrew Teoh

  5. Department of Electrical and Electronic Engineering, Xi’an Jiaotong-Liverpool University, Ren’ai Road 111, SIP 215123, Suzhou, Jiangsu Province, China

    Kaizhu Huang

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© 2014 Springer International Publishing Switzerland

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Cite this paper

Mitsuishi, T. et al. (2014). Continuity of Discrete-Time Fuzzy Systems. In: Loo, C.K., Yap, K.S., Wong, K.W., Teoh, A., Huang, K. (eds) Neural Information Processing. ICONIP 2014. Lecture Notes in Computer Science, vol 8835. Springer, Cham. https://doi.org/10.1007/978-3-319-12640-1_56

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  • DOI: https://doi.org/10.1007/978-3-319-12640-1_56

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-12639-5

  • Online ISBN: 978-3-319-12640-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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