(Elsevier, 2023) Miquélez Madariaga, Irene; Lizarraga Zubeldia, Idoia; Díaz de Corcuera Martínez, Asier; Elso Torralba, Jorge; Ingeniería; Ingeniaritza; Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa
Light detection and ranging (LIDAR) sensors measure the free wind ahead of the rotor, enabling the use of new
feedforward control strategies. However, there exist some sources of error inherent to the measuring process
that should be considered during the design of LIDAR-based controllers. Typically, the coherence function is
used for that purpose, but it is not compatible with some robust design methodologies. This paper presents an
analytic relation between the coherence function and a non-parametric uncertainty model of LIDAR sensors,
suitable for the design of controllers via 𝜇-synthesis or Quantitative Feedback Theory. Such a relation is applied
to a realistic LIDAR simulator. First, the linear non-parametric uncertainty model is identified using simulation
data obtained from the well-known NREL 5 MW wind turbine. Then, it is validated against the coherence model
by comparing linear predictions of the simulation outputs.