Iterative interaction decoupling for multivariate time-varying systems applied to a Gravitational Wave Detector
Mathyn Van Dael (Nikhef, Eindhoven University of Technology)
Gert Witvoet (Eindhoven University of Technology, TNO)
Bas Swinkels (TNO)
Diego Bersanetti (Sezione Di Genova)
Manuel Pinto (European Gravitational Observatory (EGO))
Julia Casanueva (European Gravitational Observatory (EGO))
Maddalena Mantovani (European Gravitational Observatory (EGO))
Piernicola Spinicelli (European Gravitational Observatory (EGO))
Camilla De Rossi (European Gravitational Observatory (EGO))
Tom Oomen (TU Delft - Team Jan-Willem van Wingerden, Eindhoven University of Technology)
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Abstract
Some of the feedback loops in the Advanced Virgo+ Gravitational Wave detector exhibit strong coupling and this coupling also varies over time. This paper presents a method to decouple the loops using a decoupling matrix, removing restrictions on the attainable performance of the feedback loops. The presented method performs batch-wise identification of the coupling matrix using only a single sinusoid per loop as perturbation by exploiting the specific structure of the plant to interpolate between frequency bins. The presented method is implemented on AdV+ and is shown to lead to significant decoupling of the loops and to keep the interaction terms low over time.