Null controllability of the 2D heat equation using flatness
Authors: Martin, Philippe, Rosier, Lionel, Rouchon, Pierre, Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on, pp. 3738 - 3743, 10-13 Dec. 2013, Firenze, DOI: 10.1109/CDC.2013.6760459
We derive in a direct and rather straightforward way the null controllability of a 2-D heat equation with boundary control. We use the so-called flatness approach, which consists in parameterizing the solution and the control by the derivatives of a “flat output”. This provides an explicit control law achieving the exact steering to zero. Numerical experiments demonstrate the relevance of the approach.
BibTeX:
@Proceedings{,
author = {Martin, Philippe; Rosier, Lionel; Rouchon, Pierre},
editor = {},
title = {Null controllability of the 2D heat equation using flatness},
booktitle = {Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on},
volume = {},
publisher = {},
address = {Firenze},
pages = {3738 - 3743},
year = {2013},
abstract = {We derive in a direct and rather straightforward way the null controllability of a 2-D heat equation with boundary control. We use the so-called flatness approach, which consists in parameterizing the solution and the control by the derivatives of a “flat output”. This provides an explicit control law achieving the exact steering to zero. Numerical experiments demonstrate the relevance of the approach.},
keywords = {}}
We derive in a direct and rather straightforward way the null controllability of a 2-D heat equation with boundary control. We use the so-called flatness approach, which consists in parameterizing the solution and the control by the derivatives of a “flat output”. This provides an explicit control law achieving the exact steering to zero. Numerical experiments demonstrate the relevance of the approach.
BibTeX:
@Proceedings{,
author = {Martin, Philippe; Rosier, Lionel; Rouchon, Pierre},
editor = {},
title = {Null controllability of the 2D heat equation using flatness},
booktitle = {Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on},
volume = {},
publisher = {},
address = {Firenze},
pages = {3738 - 3743},
year = {2013},
abstract = {We derive in a direct and rather straightforward way the null controllability of a 2-D heat equation with boundary control. We use the so-called flatness approach, which consists in parameterizing the solution and the control by the derivatives of a “flat output”. This provides an explicit control law achieving the exact steering to zero. Numerical experiments demonstrate the relevance of the approach.},
keywords = {}}