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Adaptive feedback passivity of nonlinear systems with sliding mode

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Nonlinear and Adaptive Control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 281))

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Abstract

Passivity of a class of nonlinear systems with unknown parameters is studied in this paper. There is a close connection between passivity and Lyapunov stability. This relationship can be shown by employing a storage function as a Lyapunov function. Passivity is the property stating that any storage energy in a system is not larger than the energy supplied to it from external sources. An appropriate update law is designed so that the new transformed system is passive. Sliding mode control is designed to maintain trajectories of a passive system on the sliding hyperplane and eventually to an equilibrium point on this surface.

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics, The University of Sheffield, Sheffield, S10 2TN, UK

    Ali J. Koshkouei & Alan S. I. Zinober

Authors
  1. Ali J. Koshkouei
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  2. Alan S. I. Zinober
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Editor information

Editors and Affiliations

  1. Departement of AppliedMathematics, The University of Sheffield, Western Bank, Sheffield, S10 2TN, UK

    Alan Zinober

  2. Dept. of Automatic Control and Systems Engineering, The University of Sheffield, Mappin Street, Sheffield, S1 3JD, UK

    David Owens

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© 2003 Springer-Verlag Berlin Heidelberg

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Koshkouei, A.J., Zinober, A.S.I. (2003). Adaptive feedback passivity of nonlinear systems with sliding mode. In: Zinober, A., Owens, D. (eds) Nonlinear and Adaptive Control. Lecture Notes in Control and Information Sciences, vol 281. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45802-6_15

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  • DOI: https://doi.org/10.1007/3-540-45802-6_15

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43240-1

  • Online ISBN: 978-3-540-45802-9

  • eBook Packages: Springer Book Archive

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