Tilt-horizontal coupling is the most challenging problem for low-frequency seismic isolation systems. Tilt-horizontal coupling comes from the principle of equivalence: horizontal inertial sensors cannot distinguish between horizontal acceleration and tilt motion. The magnitude of tilt-horizontal coupling rises very rapidly at low frequencies, and this makes low frequency isolation difficult. A variety of techniques, including sensor correction and sensor blending, are used to address the tilt-horizontal coupling problem. Optimal FIR complementary filters were designed to separate efficiently tilt motion from horizontal acceleration. A nonlinear analysis technique was developed to study the nonlinear tilt-horizontal coupling effect. With these techniques, our prototype vibration isolation systems obtained isolation performance that is very close to the requirement of Advanced LIGO.
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