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Communication Dans Un Congrès Année : 2013

Null controllability of the 1D heat equation using flatness

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Philippe Martin
Lionel Rosier
Pierre Rouchon

Résumé

We derive in a straightforward way the null controllability of a 1-D heat equation with boundary control. We use the so-called {\em 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. We also give accurate error estimates when the various series involved are replaced by their partial sums, which is paramount for an actual numerical scheme. Numerical experiments demonstrate the relevance of the approach.

Dates et versions

hal-00971487 , version 1 (02-04-2014)

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Philippe Martin, Lionel Rosier, Pierre Rouchon. Null controllability of the 1D heat equation using flatness. 1st IFAC workshop on Control of Systems Governed by Partial Differential Equations (CPDE2013), Sep 2013, Paris, France. pp.1-7. ⟨hal-00971487⟩
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