Robust boundary control of systems of conservation laws

C. Prieur, J. Winkin, G. Bastin

Research output: Contribution to journalArticle

Abstract

The stability problem of a system of conservation laws perturbed by non-homogeneous terms is investigated. These non-homogeneous terms are assumed to have a small C -norm. By a Riemann coordinates approach a sufficient stability criterion is established in terms of the boundary conditions. This criterion can be interpreted as a robust stabilization condition by means of a boundary control, for systems of conservation laws subject to external disturbances. This stability result is then applied to the problem of the regulation of the water level and the flow rate in an open channel. The flow in the channel is described by the Saint-Venant equations perturbed by small non-homogeneous terms that account for the friction effects as well as external water supplies or withdrawals.
Original languageEnglish
Pages (from-to)173-197
Number of pages25
JournalMathematics of Control, Signals, and Systems
Volume20
Issue number2
DOIs
Publication statusPublished - 1 Jun 2008

Fingerprint

Systems of Conservation Laws
Boundary Control
Robust Control
Conservation
Stability criteria
Term
Water levels
Water supply
Saint-Venant Equations
Water
Open Channel
Robust Stabilization
Stabilization
Flow rate
Boundary conditions
Friction
Stability Criteria
Flow Rate
Disturbance
Sufficient

Cite this

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Robust boundary control of systems of conservation laws. / Prieur, C.; Winkin, J.; Bastin, G.

In: Mathematics of Control, Signals, and Systems, Vol. 20, No. 2, 01.06.2008, p. 173-197.

Research output: Contribution to journalArticle

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