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Stability Analysis of the Simplest Takagi-Sugeno Fuzzy Control System Using Popov Criterion

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Soft Computing in Industrial Applications

Part of the book series: Advances in Soft Computing ((AINSC,volume 39))

Abstract

In our paper, the properties of the simplest Takagi-Sugeno (T-S) fuzzy controller are first investigated. Next, based on the well-known Popov criterion with graphical interpretation, a sufficient condition in the frequency domain is proposed to guarantee the globally asymptotical stability of the simplest T-S fuzzy control system. Since this sufficient condition is presented in the frequency do-main, it is of great significance in designing the simplest T-S fuzzy controller in the frequency domain.

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Author information

Authors and Affiliations

  1. Department of Control Theory and Engineering, Harbin Institute of Technology, Harbin, China

    Xiaojun Ban, Xianlin Huang & Hang Yin

  2. Institute of Intelligent Power Electronics, Helsinki University of Technology, Espoo, Finland

    X. Z. Gao

Authors
  1. Xiaojun Ban
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  2. X. Z. Gao
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  3. Xianlin Huang
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  4. Hang Yin
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Editor information

Ashraf Saad Keshav Dahal Muhammad Sarfraz Rajkumar Roy

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© 2007 Springer-Verlag Berlin Heidelberg

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Ban, X., Gao, X.Z., Huang, X., Yin, H. (2007). Stability Analysis of the Simplest Takagi-Sugeno Fuzzy Control System Using Popov Criterion. In: Saad, A., Dahal, K., Sarfraz, M., Roy, R. (eds) Soft Computing in Industrial Applications. Advances in Soft Computing, vol 39. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70706-6_6

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  • DOI: https://doi.org/10.1007/978-3-540-70706-6_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-70704-2

  • Online ISBN: 978-3-540-70706-6

  • eBook Packages: EngineeringEngineering (R0)

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