Motion planning for the heat equation
Béatrice LarocheCentre Automatique et Systèmes, École des Mines de Paris, 35 rue Saint-Honoré, 77305 Fontainebleau, FrancePhilippe MartinCentre Automatique et Systèmes, École des Mines de Paris, 35 rue Saint-Honoré, 77305 Fontainebleau, FrancePierre RouchonCentre Automatique et Systèmes, École des Mines de Paris, 35 rue Saint-Honoré, 77305 Fontainebleau, France
2000en
ABI
Annotatsiya
The paper gives an explicit open-loop control, able to approximately steer the one-dimensional heat equation with control on the boundary from any state to any other state. The control is obtained thanks to a parametrization of the solutions of the heat equation by a series involving infinitely many derivatives of the system ‘flat output’. Copyright © 2000 John Wiley & Sons, Ltd.
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