Nonlinear Observer Design for a 1D Heat Conduction Process
- Resource Type
- Conference
- Authors
- Schaum, A.; Koch, S.; Reichhartinger, M.; Meurer, T.; Moreno, J. A.; Horn, M.
- Source
- 2021 60th IEEE Conference on Decision and Control (CDC) Decision and Control (CDC), 2021 60th IEEE Conference on. :1149-1154 Dec, 2021
- Subject
- Aerospace
Bioengineering
Communication, Networking and Broadcast Technologies
Components, Circuits, Devices and Systems
Power, Energy and Industry Applications
Robotics and Control Systems
Signal Processing and Analysis
Transportation
Heating systems
Estimation error
Sufficient conditions
Rapid thermal processing
Process control
Production
Observers
- Language
- ISSN
- 2576-2370
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.