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Stabilization by sampled and discrete feedback with positive sampling rate

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Stability and Stabilization of Nonlinear Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 246))

Abstract

In this paper we discuss recent results on stabilization by means of discontinuous feedback using a sampled closed loop system. Special emphasis is put on requirements on the sampling rate needed in order to achieve stability of the sampled closed loop system. In particular we focus on the cases where stabilization is possible using a fixed positive sampling rate, i.e. where the intersampling times do not tend to zero. A complete characterization of these cases is given for systems with certain homogenity properties

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Author information

Authors and Affiliations

  1. Fachbereich Mathematik, J.W. Goethe-Universität, Postfach 11 19 32, 60054, Frankfurt am Main, Germany

    Lars Grüne

Authors
  1. Lars Grüne
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Editor information

Editors and Affiliations

  1. Dept. of Systems Dynamics, Universiteit Gent, Technologiepark-Zwijnaarde 9, 9052, Gent, Belgium

    Dirk Aeyels (Professor) (Professor)

  2. Laboratoire des Signaux et Systèmes, CNRS, SUPELEC, 91192, Gif-sur-Yvette, France

    Françoise Lamnabhi-Lagarrigue (Docteur d’état) (Docteur d’état)

  3. Dept. of Applied Mathematics, University of Twente, PO Box 217, 7500, Enschede, The Netherlands

    Arjan van der Schaft (Professor) (Professor)

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© 1999 Springer-Verlag London Limited

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Grüne, L. (1999). Stabilization by sampled and discrete feedback with positive sampling rate. In: Aeyels, D., Lamnabhi-Lagarrigue, F., van der Schaft, A. (eds) Stability and Stabilization of Nonlinear Systems. Lecture Notes in Control and Information Sciences, vol 246. Springer, London. https://doi.org/10.1007/1-84628-577-1_9

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  • DOI: https://doi.org/10.1007/1-84628-577-1_9

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-638-7

  • Online ISBN: 978-1-84628-577-6

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