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Design of control Lyapunov functions for “Jurdjevic-Quinn” systems

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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

This paper presents briefly a method to design explicit control Lyapunov functions for control systems that satisfy the so-called “Jurdjevic-Quinn conditions”, i.e. posses an “energy-like” function that is naturally non-increasing for the un-forced system. The results with proof will appear in a future paper. The present note rather focuses on the method, and on its application to the model of a mechanical system, the translational oscillator with rotation actuator (TORA) (also known as RTAC).

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Author information

Authors and Affiliations

  1. I.N.R.I.A, B.P. 93, 06902, Sophia Antipolis cedex, France

    Ludovic Faubourg & Jean-Baptiste Pomet

Authors
  1. Ludovic Faubourg
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  2. Jean-Baptiste Pomet
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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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Faubourg, L., Pomet, JB. (1999). Design of control Lyapunov functions for “Jurdjevic-Quinn” systems. 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_7

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  • DOI: https://doi.org/10.1007/1-84628-577-1_7

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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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