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Estimates of Trajectory Tubes of Uncertain Nonlinear Control Systems

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Large-Scale Scientific Computing (LSSC 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5910))

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Abstract

The paper is devoted to state estimation problems for nonlinear dynamic control systems with states being compact sets. The studies are motivated by the theory of dynamical systems with unknown but bounded uncertainties without their statistical description. The trajectory tubes of differential inclusions are introduces as the set-valued analogies of the classical isolated trajectories of uncertain dynamical systems. Applying results related to discrete-time versions of the funnel equations and techniques of ellipsoidal estimation theory developed for linear control systems we present approaches that allow to find estimates for such set-valued states of uncertain nonlinear control systems.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Russian Academy of Sciences, 16 S. Kovalevskaya str., GSP-384, 620219, Ekaterinburg, Russia

    Tatiana F. Filippova

Authors
  1. Tatiana F. Filippova
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Editors and Affiliations

  1. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev, Bl. 25A, 1113, Sofia, Bulgaria

    Ivan Lirkov

  2. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. Bl. 25-A, 1113, Sofia, Bulgaria

    Svetozar Margenov

  3. Department of Informatics and Mathematical Modelling, Technical University of Denmark, Richard Petersens Plads - Building 321, 2800, Kongens Lyngby, Denmark

    Jerzy Waśniewski

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Filippova, T.F. (2010). Estimates of Trajectory Tubes of Uncertain Nonlinear Control Systems. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2009. Lecture Notes in Computer Science, vol 5910. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12535-5_31

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  • DOI: https://doi.org/10.1007/978-3-642-12535-5_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-12534-8

  • Online ISBN: 978-3-642-12535-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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