Inertial control of the mirror suspensions of the VIRGO interferometer for gravitational wave detection
G.Losurdo, G.Calamai, E.Cuoco, L.Fabbroni, G.Guidi, M.Mazzoni,, R.Stanga, F.Vetrano, L.Holloway, D.Passuello, G.Ballardin, S.Braccini,, C.Bradaschia, R.Cavalieri, R.Cecchi, G.Cella, V.Dattilo, A.Di Virgilio,, F.Fidecaro, F.Frasconi, A.Gennai, A.Giazotto, I.Ferrante, P.La Penna,

TL;DR
This paper presents an inertial control system for VIRGO's mirror suspensions, employing feedback with sensors and digital processing to damp residual motion at resonant frequencies, enhancing gravitational wave detection sensitivity.
Contribution
It introduces a multidimensional feedback control system using inertial sensors and digital processing specifically designed for VIRGO's mirror suspensions.
Findings
Effective damping of mirror residual motion at resonant frequencies.
Successful implementation of the feedback control system.
Improved stability for gravitational wave detection.
Abstract
In order to achieve full detection sensitivity at low frequencies, the mirrors of interferometric gravitational wave detectors must be isolated from seismic noise. The VIRGO vibration isolator, called 'superattenuator', is fully effective at frequencies above 4 Hz. Nevertheless, the residual motion of the mirror at the mechanical resonant frequencies of the system are too large for the interferometer locking system and must be damped. A multidimensional feedback system, using inertial sensors and digital processing, has been designed for this purpose. An experimental procedure for determining the feedback control of the system has been defined. In this paper a full description of the system is given and experimental results are presented.
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