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Nonlinear and Adaptive Control pp 275–283Cite as

Multi-periodic nonlinear repetitive control: Feedback stability analysis

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Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 281))

Abstract

In this paper the stability of multi-periodic repetitive control problem, where two or more periods exist in the reference and disturbance signals, is studied. A Lyapunov analysis is used to prove L m2 (0,∞) ∩L m∞ (0,∞) stability for a class of passive nonlinear systems subject to a class of nonlinear perturbations. A proof of exponential stability under a strictly positive real condition is provided.

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Author information

Authors and Affiliations

  1. Department of Automatic Control and Systems Engineering, The University of Sheffield, Mappin Street, Sheffield, S1 3JD, UK

    David H. Owens, Liangmin Li & Steve P. Banks

Authors
  1. David H. Owens
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  2. Liangmin Li
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  3. Steve P. Banks
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Editor information

Editors and Affiliations

  1. Departement of AppliedMathematics, The University of Sheffield, Western Bank, Sheffield, S10 2TN, UK

    Alan Zinober

  2. Dept. of Automatic Control and Systems Engineering, The University of Sheffield, Mappin Street, Sheffield, S1 3JD, UK

    David Owens

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© 2003 Springer-Verlag Berlin Heidelberg

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Owens, D.H., Li, L., Banks, S.P. (2003). Multi-periodic nonlinear repetitive control: Feedback stability analysis. In: Zinober, A., Owens, D. (eds) Nonlinear and Adaptive Control. Lecture Notes in Control and Information Sciences, vol 281. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45802-6_22

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  • DOI: https://doi.org/10.1007/3-540-45802-6_22

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43240-1

  • Online ISBN: 978-3-540-45802-9

  • eBook Packages: Springer Book Archive

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