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EnglishIn this paper, we consider the asymptotic boundary stabilisation of a one-dimensional wave equation subject to anti-damping at its free end and with control at the opposite one. The control action, implemented through a state feedback or a dynamic controller, is derived by using the port-Hamiltonian framework. More precisely, the standard energy-shaping approach plus damping assignment is adapted to cope with infinite dimensional systems with anti-damping boundary conditions. It is shown how to modify the equivalent dynamic controller to account for the instability propagation along the domain.
| Titolo: | Energy-based control of a wave equation with boundary anti-damping | |
| Autore/i: | Macchelli A.; Le Gorrec Y.; Wu Y.; Ramirez H. | |
| Autore/i Unibo: | ||
| Anno: | 2020 | |
| Serie: | ||
| Titolo del libro: | IFAC-PapersOnLine | |
| Pagina iniziale: | 7740 | |
| Pagina finale: | 7745 | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.ifacol.2020.12.1527 | |
| Abstract: | In this paper, we consider the asymptotic boundary stabilisation of a one-dimensional wave equation subject to anti-damping at its free end and with control at the opposite one. The control action, implemented through a state feedback or a dynamic controller, is derived by using the port-Hamiltonian framework. More precisely, the standard energy-shaping approach plus damping assignment is adapted to cope with infinite dimensional systems with anti-damping boundary conditions. It is shown how to modify the equivalent dynamic controller to account for the instability propagation along the domain. | |
| Data stato definitivo: | 25-feb-2022 | |
| Appare nelle tipologie: | 4.01 Contributo in Atti di convegno |
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