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Robust Stabilization of Nonlinear Globally Lipschitz Delay Systems

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Book cover Recent Results on Nonlinear Delay Control Systems

Part of the book series: Advances in Delays and Dynamics ((ADVSDD,volume 4))

Abstract

This paper studies the application of a recently proposed control scheme to globally Lipschitz nonlinear systems for which the input is delayed and applied with zero order hold, the measurements are sampled and delayed, and only an output is measured (i.e., the state vector is not available). The control scheme consists of an observer for the delayed state vector, an inter-sample predictor for the output signal, an approximate predictor for the future value of the state vector, and the nominal feedback law applied with zero order hold and computed for the predicted value of the future state vector. The resulting closed-loop system is robust with respect to modeling and measurement errors and robust to perturbations of the sampling schedule.

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References

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Author information

Authors and Affiliations

  1. Laboratoire GREYC CNRS-ENSICAEN, 06 Boulevard du Marechal Juin, 14050, Caen Cedex, France

    Tarek Ahmed-Ali

  2. Department of Mathematics, National Technical University of Athens, Heroon Polytechneiou 9, 15780, Athens, Greece

    Iasson Karafyllis

  3. Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, CA, 92093-0411, USA

    Miroslav Krstic

  4. Centre National de la Recherche Scientifique, CNRS-EECI SUPELEC, 3 Rue Joliot Curie, 91192, Gif-Sur-Yvette, France

    Francoise Lamnabhi-Lagarrigue

Authors
  1. Tarek Ahmed-Ali
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  2. Iasson Karafyllis
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  3. Miroslav Krstic
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  4. Francoise Lamnabhi-Lagarrigue
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Corresponding author

Correspondence to Tarek Ahmed-Ali .

Editor information

Editors and Affiliations

  1. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Iasson Karafyllis

  2. Department of Mathematics, Louisiana State University (LSU), Baton Rouge, Louisiana, USA

    Michael Malisoff

  3. CNRS-CentraleSupélec-Université Paris Sud, EPI Inria “DISCO”, Laboratory of Signals and Systems (L2S, UMR CNRS 8506), Gif-sur-Yvette, France

    Frederic Mazenc

  4. Department of Information Engineering, Computer Science, and Mathematics, University of L’Aquila, L’Aquila, Italy

    Pierdomenico Pepe

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Ahmed-Ali, T., Karafyllis, I., Krstic, M., Lamnabhi-Lagarrigue, F. (2016). Robust Stabilization of Nonlinear Globally Lipschitz Delay Systems. In: Karafyllis, I., Malisoff, M., Mazenc, F., Pepe, P. (eds) Recent Results on Nonlinear Delay Control Systems. Advances in Delays and Dynamics, vol 4. Springer, Cham. https://doi.org/10.1007/978-3-319-18072-4_2

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  • DOI: https://doi.org/10.1007/978-3-319-18072-4_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-18071-7

  • Online ISBN: 978-3-319-18072-4

  • eBook Packages: EngineeringEngineering (R0)

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