Stabilization of a 1-D tank containing a fluid modeled by the shallow water equations

DOI10.1016/j.sysconle.2003.11.008zbMath1157.93495OpenAlexW2083271581MaRDI QIDQ2503616

Christophe Prieur, Jonathan De Halleux

Publication date: 21 September 2006

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2003.11.008

zbMATH Keywords

Lyapunov approachShallow water equationsBoundary controlHyperbolic PDEsNumerical resolution

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Flow control and optimization for incompressible inviscid fluids (76B75)

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Cites Work

• Adaptive nonlinear control without overparametrization
• Stabilization and disturbance attenuation of nonlinear systems using dissipativity theory
• Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems
• Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations
• Stabilization of nonlinear systems via forwarding mod {L/sub g/V}
• Controllability and Stabilization of a Canal with Wave Generators
• Dynamics and solutions to some control problems for water-tank systems
• Output-input stability and minimum-phase nonlinear systems
• Adding integrations, saturated controls, and stabilization for feedforward systems
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