Premium
Motion planning for the heat equation
Author(s) -
Laroche Béatrice,
Martin Philippe,
Rouchon Pierre
Publication year - 2000
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/1099-1239(20000715)10:8<629::aid-rnc502>3.0.co;2-n
Subject(s) - heat equation , parametrization (atmospheric modeling) , control (management) , series (stratigraphy) , boundary (topology) , control theory (sociology) , state (computer science) , equations of motion , mathematics , mathematical analysis , computer science , physics , classical mechanics , geology , artificial intelligence , paleontology , algorithm , quantum mechanics , radiative transfer
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.