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Tracking Control and π-Freeness of Infinite Dimensional Linear Systems

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Dynamical Systems, Control, Coding, Computer Vision

Part of the book series: Progress in Systems and Control Theory ((PSCT,volume 25))

Abstract

This is a report on recent works [1, 17, 19, 20, 21, 39, 40, 41, 43] on the control tracking of some infinite dimensional linear systems. It is based on a new property, called π-freeness, which allows the tracking of a reference trajectory in a way which bears some analogy with flat finite dimensional nonlinear systems (see [15, 16] and the references therein). Several examples are examined and simulations are provided.

This work was partially supported by the European Commission’s Training and Mobility of Researchers (TMR) Contract # ERBFMRX-CT970137, by the G.D.R. Medicis and by the G.D.R.-P.R.C. Automatique.

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Author information

Authors and Affiliations

  1. Centre de Mathématiques et de Leurs Applications, École Normale Supérieure de Cachan, 61 avenue du Président Wilson, 94235, Cachan, France

    Michel Fliess

  2. Département AXIS, Institut d’Électronique Fondamentale, Université Paris-Sud, Bâtiment 220, 91405, Orsay, France

    Hugues Mounier

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  1. Michel Fliess
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  2. Hugues Mounier
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Editors and Affiliations

  1. Dipartimento di Elettronica e Informatica, Università di Padova, vai Gradenigo, 6/A, 35131, Padova, Italia

    Giorgio Picci

  2. Department of Mathematics and Statistics, Texas Tech University, Box 41042, 79409-1042, Lubbock, TX, USA

    David S. Gilliam

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© 1999 Birkhäuser Verlag Basel/Switzerland

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Fliess, M., Mounier, H. (1999). Tracking Control and π-Freeness of Infinite Dimensional Linear Systems. In: Picci, G., Gilliam, D.S. (eds) Dynamical Systems, Control, Coding, Computer Vision. Progress in Systems and Control Theory, vol 25. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-8970-4_3

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  • DOI: https://doi.org/10.1007/978-3-0348-8970-4_3

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9848-5

  • Online ISBN: 978-3-0348-8970-4

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