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Robust H  ∞  Fuzzy Controller for Uncertain Nonlinear Systems with Time-Varying Delayed State

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Fuzzy Systems and Knowledge Discovery (FSKD 2006)

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

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Abstract

This paper addresses a robust H  ∞  stabilization problem to uncertain nonlinear systems with time-varying delayed state via fuzzy static output feedback. We employ the Takagi–Sugeno (T–S) fuzzy model to represent the nonlinear system in both continuous-time and discrete-time cases. Sufficient conditions, which are in the format of bilinear matrix inequalities (BMI)s, are derived for robust stabilization and disturbance attenuation of the closed-loop fuzzy control system in both cases. Then, the BMIs are converted to linear matrix inequalities (LMI)s through some manipulations. The effectiveness of the proposed controller design methodology is demonstrated through a numerical simulation.

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Author information

Authors and Affiliations

  1. Yonsei University, Seodaemun-gu, Seoul, 120-749, Korea

    Taek Ryong Kim & Jin Bae Park

  2. Kunsan National University, Kunsan, Chunbuk, 573-701, Korea

    Young Hoon Joo

Authors
  1. Taek Ryong Kim
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  2. Jin Bae Park
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  3. Young Hoon Joo
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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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Kim, T.R., Park, J.B., Joo, Y.H. (2006). Robust H  ∞  Fuzzy Controller for Uncertain Nonlinear Systems with Time-Varying Delayed State. 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_3

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  • DOI: https://doi.org/10.1007/11881599_3

  • 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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