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Conditions for MPC Based Stabilization of Sampled-Data Nonlinear Systems Via Discrete-Time Approximations

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Assessment and Future Directions of Nonlinear Model Predictive Control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 358))

Abstract

This paper is devoted to the stabilization problem of nonlinear continuous- time systems with piecewise constant control functions. The controller is to be computed by the receding horizon control method based on discrete-time approximate models. Multi-rate — multistep control is considered and both measurement and computational delays are allowed. It is shown that the same family of controllers that stabilizes the approximate discrete-time model also practically stabilizes the exact discrete-time model of the plant. The conditions are formulated in terms of the original continuoustime models and the design parameters so that they should be veri.able in advance.

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Author information

Authors and Affiliations

  1. Institute of Mathematics, Budapest University of Technology and Economics, Budapest, H-1521, Hungary

    Eva Gyurkovics

  2. Department of Mathematics, Al-Azhar University (Assiut), Assiut, Egypt

    Ahmed M. Elaiw (Faculty of Science)

Authors
  1. Eva Gyurkovics
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  2. Ahmed M. Elaiw
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Editor information

Editors and Affiliations

  1. Institute for Systems Theory and Automatic Control, University of Stuttgart, Pfaffenwaldring 9, 70550, Stuttgart, Germany

    Rolf Findeisen  & Frank Allgöwer  & 

  2. Chemical Engineering Department, Carnegie Mellon University, Pittsburgh, PA, 15213, USA

    Lorenz T. Biegler

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© 2007 Springer-Verlag Berlin Heidelberg

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Gyurkovics, E., Elaiw, A.M. (2007). Conditions for MPC Based Stabilization of Sampled-Data Nonlinear Systems Via Discrete-Time Approximations. In: Findeisen, R., Allgöwer, F., Biegler, L.T. (eds) Assessment and Future Directions of Nonlinear Model Predictive Control. Lecture Notes in Control and Information Sciences, vol 358. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72699-9_3

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  • DOI: https://doi.org/10.1007/978-3-540-72699-9_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72698-2

  • Online ISBN: 978-3-540-72699-9

  • eBook Packages: EngineeringEngineering (R0)

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