Null Controllability of the 2D Heat Equation Using Flatness

Philippe Martin; Lionel Rosier; Pierre Rouchon

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arXiv · 1304.5426

Null Controllability of the 2D Heat Equation Using Flatness

Philippe Martin·Lionel Rosier·Pierre Rouchon

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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.

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Philippe Martin, Lionel Rosier, Pierre Rouchon. 2013-04-19. Null Controllability of the 2D Heat Equation Using Flatness. https://arxiv.org/abs/1304.5426

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