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

Martin Gugat, Günter Leugering, Klaus Schittkowski and E. J. P. Georg Schmidt
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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

A chapter in Online Optimization of Large Scale Systems, 2001, pp 251-270 from Springer

Abstract: 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.

Keywords: Network Channel; Junction Point; Absorb Boundary Condition; Riemann Invariant; Equilibrium Flow (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-04331-8_16

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DOI: 10.1007/978-3-662-04331-8_16

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