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Port-Hamiltonian modeling, discretization and feedback control of a circular water tank

Cardoso-Ribeiro, Flávio Luiz and Brugnoli, Andrea and Matignon, Denis and Lefèvre, Laurent Port-Hamiltonian modeling, discretization and feedback control of a circular water tank. ( In Press: 2020) In: 2019 IEEE 58th Conference on Decision and Control (CDC), 11 December 2019 - 13 December 2019 (Nice, France).

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Abstract

This work presents the development of the nonlinear 2D Shallow Water Equations (SWE) in polar coordinates as a boundary port controlled Hamiltonian system. A geometric reduction by symmetry is obtained, simplifying the system to one-dimension. The recently developed Partitioned Finite Element Method is applied to semi-discretize the equations, preserving the boundary power-product of both the original 2D and the reduced 1D system. The main advantage of this power-preserving semi-discretization method is that it can be applied using well-established finite element software. In this work, we use FEniCS to solve the variational formulation, including the nonlinearity provided by the non-quadratic Hamiltonian of the SWE. A passive output-feedback controller using damping injection is used to dissipate the water waves.

Item Type:Invited Conference
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:Other partners > Institut polytechnique de Grenoble (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Other partners > Instituto Tecnologico de Aeronautica - ITA (BRAZIL)
Other partners > Université Grenoble Alpes - UGA (FRANCE)
Laboratory name:
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Deposited By: Andrea Brugnoli
Deposited On:18 Feb 2020 09:43

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