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LMI-Based Model Predictive Control for Linear Discrete-Time Periodic Systems

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Nonlinear Model Predictive Control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 384))

Abstract

This paper presents a newmodel predictive control (MPC) scheme for linear constrained discrete-time periodic systems. In each period of the system, a new periodic state feedback control law is computed via a convex optimization problem that minimizes an upper bound on an infinite horizon cost function subject to state and input constraints. The performance of the proposed model predictive controller, that stabilizes the discrete-time periodic system if it is initially feasible, is illustrated via an example.

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Author information

Authors and Affiliations

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

    Christoph Böhm, Tobias Raff, Marcus Reble & Frank Allgöwer

Authors
  1. Christoph Böhm
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  2. Tobias Raff
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  3. Marcus Reble
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  4. Frank Allgöwer
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Editor information

Editors and Affiliations

  1. Dipartimento di Informatica e Sistemistica, Universita’ di Pavia, via Ferrata 1, 27100 Pavia, Italy

    Lalo Magni

  2. Automatic Control Laboratory, ETH Zurich , ETL I 24.2, Physikstrasse 3, CH-8092, Zürich, Switzerland

    Davide Martino Raimondo

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

    Frank Allgöwer

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© 2009 Springer-Verlag Berlin Heidelberg

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Böhm, C., Raff, T., Reble, M., Allgöwer, F. (2009). LMI-Based Model Predictive Control for Linear Discrete-Time Periodic Systems. In: Magni, L., Raimondo, D.M., Allgöwer, F. (eds) Nonlinear Model Predictive Control. Lecture Notes in Control and Information Sciences, vol 384. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01094-1_8

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  • DOI: https://doi.org/10.1007/978-3-642-01094-1_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01093-4

  • Online ISBN: 978-3-642-01094-1

  • eBook Packages: EngineeringEngineering (R0)

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