Transport Speed Estimation for a 1-D Hyperbolic PDE Based on Output Flow Measurement

Eduardo B.R.F. Paiva (1, 2) , Olivier Lepreux (1) , Delphine Bresch-Pietri (2)

1 IFPEN - IFP Energies nouvelles
2 CAS - Centre Automatique et Systèmes

We present a method for estimating the transport speed of a class of systems modeled by a 1-D hyperbolic Partial Differential Equation (PDE) where the quantity governed by the PDE is a speed deficit and the measurement fed to the estimator is the transport speed minus this deficit at a given location. Such problem arises when estimating the free flow wind speed using measurements taken inside the wake zone of a wind turbine. We present a simple and easy to implement method and provide sufficient conditions for its convergence.

Mots clés: Hyperbolic systems; parameter estimation; time-delay systems; distributed parameter systems; wind speed estimation

Domaines: Automatique / Robotique

Eduardo B.R.F. Paiva, Olivier Lepreux, Delphine Bresch-Pietri. Transport Speed Estimation for a 1-D Hyperbolic PDE Based on Output Flow Measurement. Proceedings of the International Conference on Systems and Control, 2022. ⟨hal-03794202⟩