Boundary controllability of a system modelling a partially immersed obstacle
Vergara-Hermosilla G, Leugering G, Wang Y (2021)
Publication Type: Journal article
Publication year: 2021
Journal
Book Volume: 27
DOI: 10.1051/cocv/2021076
Abstract
In this paper, we address the problem of boundary controllability for the one-dimensional nonlinear shallow water system, describing the free surface flow of water as well as the flow under a fixed gate structure. The system of differential equations considered can be interpreted as a simplified model of a particular type of wave energy device converter called oscillating water column. The physical requirements naturally lead to the problem of exact controllability in a prescribed region. In particular, we use the concept of nodal profile controllability in which at a given point (the node) time-dependent profiles for the states are required to be reachable by boundary controls. By rewriting the system into a hyperbolic system with nonlocal boundary conditions, we at first establish the semi-global classical solutions of the system, then get the local controllability and nodal profile using a constructive method. In addition, based on this constructive process, we provide an algorithmic concept to calculate the required boundary control function for generating a solution for solving these control problem.
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France (FR)How to cite
APA:
Vergara-Hermosilla, G., Leugering, G., & Wang, Y. (2021). Boundary controllability of a system modelling a partially immersed obstacle. Esaim-Control Optimisation and Calculus of Variations, 27. https://dx.doi.org/10.1051/cocv/2021076
MLA:
Vergara-Hermosilla, G., Günter Leugering, and Yue Wang. "Boundary controllability of a system modelling a partially immersed obstacle." Esaim-Control Optimisation and Calculus of Variations 27 (2021).
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