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Fuzzy Sliding Mode Control for Uncertain Nonlinear Systems

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Book cover Fuzzy Systems and Knowledge Discovery (FSKD 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3613))

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Abstract

The novel fuzzy sliding mode control problem is presented for a class of uncertain nonlinear systems. The Takagi-Sugeno (T-S) fuzzy model is employed to represent a class of complex uncertain nonlinear system. A virtual state feedback technology is proposed to design the sliding mode plane. Based on Lyapunov stability theory, sufficient conditions for design of the fuzzy sliding model control are given. Design of the sliding mode controller based on reaching law concept is developed, which to ensure system trajectories from any initial states asymptotically convergent to sliding mode plane. The global asymptotic stability is guaranteed. A numerical example with simulation results is given to illustrate the effectiveness of the proposed method.

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Author information

Authors and Affiliations

  1. Department of Control Science and Engineering, Huazhong University of Science and technology, Wuhan, 430074, China

    Shao-Cheng Qu & Yong-Ji Wang

Authors
  1. Shao-Cheng Qu
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  2. Yong-Ji Wang
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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. Honda Research Institute Europe GmbH, Offenbach/Main, Germany

    Yaochu Jin

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© 2005 Springer-Verlag Berlin Heidelberg

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Qu, SC., Wang, YJ. (2005). Fuzzy Sliding Mode Control for Uncertain Nonlinear Systems. In: Wang, L., Jin, Y. (eds) Fuzzy Systems and Knowledge Discovery. FSKD 2005. Lecture Notes in Computer Science(), vol 3613. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11539506_119

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  • DOI: https://doi.org/10.1007/11539506_119

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28312-6

  • Online ISBN: 978-3-540-31830-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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