Discrete Spatio-Temporal State Estimation Via Reduced Order Models of the Heat Equation

Resumen: In this paper, we address the problem of estimating the value of a spatio-temporal signal at locations where no information is available. The evolution of the signal is described by the one-dimensional heat equation with a nonlinear source term. We use the Laplacian spectral decomposition methodology to design an observer capable of estimating the value at both discrete locations of the space and in discrete time. To show applicability of the methodology, we consider the heat transfer in an injection mold represented by a homogeneous bar subject to joule heating effect.

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Fernando López-Caamal, Ixbalank Torres & Sergio Cano-Andrade. Discrete Spatio-Temporal State Estimation Via Reduced Order Models of the Heat Equation. Memorias del Congreso Nacional de Control Automático, pp. 243-248, 2019.

Palabras clave

Control de Procesos, Sistemas de parámetros distribuidos, Sistemas discretos

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