Abstract

This paper deals with large-scale gravitational-wave detector control. These detectors use multiple optical cavities and require a coherent control of several suspended mirror positions. In fact the mirrors forming the detector are oscillating around their equilibrium positions under the influence of the earth seismic noise. Hence a control system is needed in order to control the mirror positions at a certain precision level specified by the detection sensitivity.We present in this paper a H∞ control approach of the detector, based on the H∞ loop shaping design method of Glover and Mc-Farlane (D.McFarlane and K.Glover, 1992). The design method is first discussed and then the simulation results, obtained with the suspension simulation program, are commented.

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