Nonlinear Observer Design for a 1D Heat Conduction Process

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

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference paperpeer-review


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.
Original languageEnglish
Title of host publication2021 60th IEEE Conference on Decision and Control, CDC 2021
ISBN (Electronic)978-1-6654-3659-5
Publication statusPublished - 2021
Event60th IEEE Conference on Decision and Control: CDC 2021 - Virtuell, United States
Duration: 13 Dec 202115 Dec 2021


Conference60th IEEE Conference on Decision and Control
Abbreviated titleCDC 2021
Country/TerritoryUnited States


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