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Boundary feedback control of 2-D shallow water equations
KTH, School of Computer Science and Communication (CSC).
2013 (English)In: International Journal of Dynamics and Control, ISSN 2195-268X, Vol. 1, no 1, 41-53 p.Article in journal (Refereed) Published
Abstract [en]

Local explicit feedback boundary conditions are given for the stabilization in L2-norm of the 2-D shallow water model. The proposed method is based on symmetrization of the flux matrices of the linearized model and analysis of the Riemann invariants. The non-conservative 2-D shallow water equations are linearized around the target steady state sub-critical flow. The established feedback control laws guarantee a decay of the energy of the perturbation model. We present numerical simulations to demonstrate how the proposed controller works for the linearized as well as nonlinear shallow water problem.

Place, publisher, year, edition, pages
Springer, 2013. Vol. 1, no 1, 41-53 p.
Keyword [en]
2-D shallow water equations, Boundary control, Symmetrization, Water management
National Category
Engineering and Technology
URN: urn:nbn:se:kth:diva-195004DOI: 10.1007/s40435-013-0006-0ScopusID: 2-s2.0-84975268085OAI: diva2:1044133

QC 20161102

Available from: 2016-11-02 Created: 2016-11-01 Last updated: 2016-11-02Bibliographically approved

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