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Tensor Product Model Transformation Based Sliding Mode Design for LPV Systems

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Recent Advances in Sliding Modes: From Control to Intelligent Mechatronics

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 24))

Abstract

The main contribution of this chapter is a new sliding mode design for nonlinear systems. This method is based on Tensor Product Model Transformation. It is partially extension and combination of the classical optimal manifold design for linear (or linearized) system and sector sliding mode control. This new approach enables a systematic design and decomposition of optimal sliding sector by the High Order Singular Value Decomposition (HOSVD)-based canonical description of a wide class of nonlinear systems. Two design examples and experimental results of a DSP-controlled single-degree-of-freedom motion-control system are presented.

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Author information

Authors and Affiliations

  1. Faculty of Mechanical Engineering, Department of Mechatronics, Optics and Mechanical Engineering Informatics, Budapest University of Technology and Economics, Muegyetem rkp. 3., 1111, Budapest, Hungary

    Péter Korondi & Csaba Budai

  2. Dept. of EECE, Chuo University, 1-13-27 Kasuga Bunkyo-ku, Tokyo, 112-8551, Japan

    Hideki Hashimoto

  3. Tokyo Metropolitan University, 1-1Minami-Osawa Hachioji-Shi, Tokyo, 192-0397, Japan

    Fumio Harashima

Authors
  1. Péter Korondi
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  2. Csaba Budai
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  3. Hideki Hashimoto
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  4. Fumio Harashima
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Corresponding author

Correspondence to Péter Korondi .

Editor information

Editors and Affiliations

  1. RMIT University, Carlton, Victoria, Victoria, Australia

    Xinghuo Yu

  2. Hacettepe University, Beytepe, Ankara, Turkey

    Mehmet Önder Efe

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Korondi, P., Budai, C., Hashimoto, H., Harashima, F. (2015). Tensor Product Model Transformation Based Sliding Mode Design for LPV Systems. In: Yu, X., Önder Efe, M. (eds) Recent Advances in Sliding Modes: From Control to Intelligent Mechatronics. Studies in Systems, Decision and Control, vol 24. Springer, Cham. https://doi.org/10.1007/978-3-319-18290-2_14

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  • DOI: https://doi.org/10.1007/978-3-319-18290-2_14

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-18289-6

  • Online ISBN: 978-3-319-18290-2

  • eBook Packages: EngineeringEngineering (R0)

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