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Recent Results on Nonlinear Delay Control Systems pp 61–77Cite as

Backstepping Designs in the Presence of Non-constant Delays on the Virtual Input

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

Abstract

We present results on stabilization of nonlinear systems in the strict-feedback form with delays affecting the virtual inputs. We consider systems with constant and time-varying delays, as well as systems with delays that depend on the current or past states, which arise in numerous applications, such as, for example, in cooling systems. The design methodology is based on the concepts of infinite-dimensional backstepping and nonlinear predictor feedback. Several illustrative examples are provided.

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Author information

Authors and Affiliations

  1. University of California, Berkeley, Berkeley, CA, 94720, USA

    Nikolaos Bekiaris-Liberis

  2. Ford Motor Company, Dearborn, MI, 48121, USA

    Mrdjan Jankovic

  3. University of California, San Diego, La Jolla, CA, 92092, USA

    Miroslav Krstic

Authors
  1. Nikolaos Bekiaris-Liberis
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  2. Mrdjan Jankovic
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  3. Miroslav Krstic
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Corresponding author

Correspondence to Nikolaos Bekiaris-Liberis .

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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Bekiaris-Liberis, N., Jankovic, M., Krstic, M. (2016). Backstepping Designs in the Presence of Non-constant Delays on the Virtual Input. 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_3

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  • DOI: https://doi.org/10.1007/978-3-319-18072-4_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-18071-7

  • Online ISBN: 978-3-319-18072-4

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