Nonlinear Observer Design for a 1D Heat Conduction Process

Alexander Schaum*, Stefan Koch, Markus Reichhartinger, Thomas Meurer, Jaime Alberto Moreno Perez, Martin Horn

*Korrespondierende/r Autor/in für diese Arbeit

Publikation: Beitrag in Buch/Bericht/KonferenzbandBeitrag in einem KonferenzbandBegutachtung

Abstract

This paper deals with the observer design for a nonlinear 1D heat equation based on a single in-domain measurement motivated by rapid thermal silicon wafer production processes. A pointwise measurement injection observer
is proposed that takes into account the basic nonlinear heat conduction and radiation mechanisms. Exponential convergence of the estimation error under mild and practically reasonable assumptions is formally proven using Lyapunov techniques. The proposed observer ensures a good trade-off between convergence speed and implementation effort. Its effectiveness is demonstrated using numerical simulations.
Originalspracheenglisch
Titel2021 60th IEEE Conference on Decision and Control, CDC 2021
PublikationsstatusAngenommen/In Druck - 2021

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