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International Conference on Fuzzy Systems and Knowledge Discovery

FSKD 2006: Fuzzy Systems and Knowledge Discovery pp 45–48Cite as

Stability Analysis and Controller Design of Discrete T-S Fuzzy System

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4223))

Abstract

For the conservative and difficulty of checking the stability of discrete T-S fuzzy control system with the common Lyapunov function approach and the fuzzy Lyapunov function approach, a fuzzy controller is designed to acquire globally asymptotical stability for discrete fuzzy system with the method of parallel distributed compensation (PDC) after the definition of a piecewise fuzzy Lyapunov function. Then a new sufficient condition to check the stability of closed-loop discrete T-S fuzzy system is proposed and proved. This condition is less conservative and difficult than above approaches. At last, a simulation example shows that the approach is effective.

The work is supported by the Ministry of Communication of P.R. China (Grant #200332922505) and Doctoral Bases Foundation of the Educational Committee of P.R. China (Grant #20030151005).

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References

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Author information

Authors and Affiliations

  1. Marine Engineering College, Dalian Maritime University, Dalian, 116026, P.R. China

    Jianxiang Yu, Songtao Zhang & Guang Ren

Authors
  1. Jianxiang Yu
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  2. Songtao Zhang
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  3. Guang Ren
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Editor information

Editors and Affiliations

  1. School of Electrical and Electronic Engineering, Nanyang Technological University,, Block S1, Nanyang Avenue, 639798, Singapore

    Lipo Wang

  2. Life Science Research Center, School of Electronic Engineering, Xidian University,, 710071, Xi’an, Shaanxi, China

    Licheng Jiao

  3. School of Electrical and Electronic Engineering, Xidian University, 710071, Xi’an, China

    Guanming Shi

  4. School of Information Technology and Electrical Engineering, The University of Queensland, 4072, Brisbane, Queensland, Australia

    Xue Li

  5. College of Mathematics and Information Science, Hebei Normal University, 050016, Shijiazhuang, Hebei, P.R. China

    Jing Liu

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© 2006 Springer-Verlag Berlin Heidelberg

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Cite this paper

Yu, J., Zhang, S., Ren, G. (2006). Stability Analysis and Controller Design of Discrete T-S Fuzzy System. In: Wang, L., Jiao, L., Shi, G., Li, X., Liu, J. (eds) Fuzzy Systems and Knowledge Discovery. FSKD 2006. Lecture Notes in Computer Science(), vol 4223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11881599_6

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  • DOI: https://doi.org/10.1007/11881599_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-45916-3

  • Online ISBN: 978-3-540-45917-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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