Parameter Identification for an Uncertain Reaction-Diffusion Equation via Setpoint Regulation - Université Grenoble Alpes
Article Dans Une Revue IEEE Control Systems Letters Année : 2024

Parameter Identification for an Uncertain Reaction-Diffusion Equation via Setpoint Regulation

Résumé

The problem of estimating the reaction coefficient of a system governed by a reaction-diffusion partial differential equation is tackled. An estimator relying on boundary measurements only is proposed. The estimator is based upon a setpoint regulation strategy and leads to an asymptotically converging estimate of the unknown reaction coefficient. The proposed estimator is combined with a state observer and shown to provide an asymptotic estimate of the actual system state. A numerical example supports and illustrates the theoretical results.

Dates et versions

hal-04608992 , version 1 (12-06-2024)

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Gildas Besançon, Andrea Cristofaro, Francesco Ferrante. Parameter Identification for an Uncertain Reaction-Diffusion Equation via Setpoint Regulation. IEEE Control Systems Letters, 2024, 8, pp.1517-1522. ⟨10.1109/LCSYS.2024.3411836⟩. ⟨hal-04608992⟩
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