Nonlinear Observer Design for a 1D Heat Conduction Process

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

doi:10.1109/CDC45484.2021.9683556

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

Institute of Automation and Control (4430)

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review

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.

Original language	English
Title of host publication	2021 60th IEEE Conference on Decision and Control, CDC 2021
Pages	1149-1154
ISBN (Electronic)	978-1-6654-3659-5
DOIs	https://doi.org/10.1109/CDC45484.2021.9683556
Publication status	Published - 2021
Event	60th IEEE Conference on Decision and Control: CDC 2021 - Virtuell, United States Duration: 13 Dec 2021 → 15 Dec 2021

Conference

Conference	60th IEEE Conference on Decision and Control
Abbreviated title	CDC 2021
Country/Territory	United States
City	Virtuell
Period	13/12/21 → 15/12/21

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10.1109/CDC45484.2021.9683556

Cite this

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title = "Nonlinear Observer Design for a 1D Heat Conduction Process",

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 observeris 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. ",

author = "Alexander Schaum and Stefan Koch and Markus Reichhartinger and Thomas Meurer and {Moreno Perez}, {Jaime Alberto} and Martin Horn",

year = "2021",

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language = "English",

pages = "1149--1154",

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note = "60th IEEE Conference on Decision and Control : CDC 2021, CDC 2021 ; Conference date: 13-12-2021 Through 15-12-2021",

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T1 - Nonlinear Observer Design for a 1D Heat Conduction Process

AU - Schaum, Alexander

AU - Koch, Stefan

AU - Reichhartinger, Markus

AU - Meurer, Thomas

AU - Moreno Perez, Jaime Alberto

AU - Horn, Martin

PY - 2021

Y1 - 2021

N2 - 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 observeris 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.

AB - 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 observeris 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.

U2 - 10.1109/CDC45484.2021.9683556

DO - 10.1109/CDC45484.2021.9683556

M3 - Conference paper

SP - 1149

EP - 1154

BT - 2021 60th IEEE Conference on Decision and Control, CDC 2021

T2 - 60th IEEE Conference on Decision and Control

Y2 - 13 December 2021 through 15 December 2021

ER -

Nonlinear Observer Design for a 1D Heat Conduction Process

Abstract

Conference

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