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Modelling, Stabilization, and Control of Flow in Networks of Open Channels

In: Online Optimization of Large Scale Systems

Author

Listed:
  • Martin Gugat

    (Technische Universität Darmstadt, Fachbereich Mathematik)

  • Günter Leugering

    (Technische Universität Darmstadt, Fachbereich Mathematik)

  • Klaus Schittkowski

    (Universität Bayreuth, Institut für Mathematik)

  • E. J. P. Georg Schmidt

    (McGill University, Department of Mathematics and Statistics)

Abstract

In this paper we present a model for the controlled flow of a fluid through a network of channels using a coupled System of St Venant equations. We generalize in a variety of ways recent results of Coron, d’Ándrea-Novel and Bastin concerning the stabilizability around equilibrium of the flow through a single channel to serially connected channels and finally to networks of channels. The work presented here is entirely based on the theory of quasilinear hyperbolic Systems. We also consider open-loop optimal control problems and provide numerical schemes both for the simulation and the control of such Systems.

Suggested Citation

  • Martin Gugat & Günter Leugering & Klaus Schittkowski & E. J. P. Georg Schmidt, 2001. "Modelling, Stabilization, and Control of Flow in Networks of Open Channels," Springer Books, in: Martin Grötschel & Sven O. Krumke & Jörg Rambau (ed.), Online Optimization of Large Scale Systems, pages 251-270, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-04331-8_16
    DOI: 10.1007/978-3-662-04331-8_16
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