State-Estimation as a Virtual Sensing Scheme in a Heat Conduction Experiment

https://doi.org/10.58571/CNCA.AMCA.2025.051

Resumen: This work addresses the dynamic inverse problem of estimating the temperature distribution in a one-dimensional bar from noisy observations at one of its ends. The model is based on the heat equation with Neumann boundary conditions, which is discretized spatially and temporally. A Kalman filter is then implemented to track the thermal evolution of the system. The results show that, even with partial information and noise, it is possible to efficiently reconstruct the internal thermal state. This technique is of interest in systems where direct access to all states is not feasible, as well as in thermal monitoring and real-time control applications.

¿Cómo citar?

Núñnez-Paredes, A., Abad-Rodríguez, R., Ramírez-Chavarría, R. & Torres, L. (2025). State-Estimation as a Virtual Sensing Scheme in a Heat Conduction Experiment. Memorias del Congreso Nacional de Control Automático 2025, pp. 296-301. https://doi.org/10.58571/CNCA.AMCA.2025.051

Palabras clave

Modeling for Control Optimization, Parameter and State Estimation.

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