标题： 多尺度最优控制用于爱因斯坦望远镜主动地震隔离 显示英文标题

标题： Multi-scale optimal control for Einstein Telescope active seismic isolation

摘要： 我们提出了一种多尺度最优控制框架，用于爱因斯坦望远镜中的主动地震隔离，爱因斯坦望远镜是一个第三代引力波观测站。 我们的方法在交叉耦合的光机系统中联合优化反馈和混合滤波器，使用基于“非因果最优”的统一成本函数，该函数量化了不同频率下的传感器信噪比。 这种方法能够在不同的传感器配置和环境条件下实现高效的重新优化。 我们将该框架应用于两种候选传感系统：OmniSens-一个六自由度惯性隔离系统，以及BRS-T360，它将光束旋转传感器（BRS）作为惯性倾斜传感器与T360作为水平地震仪结合。 我们展示了OmniSens在低频隔离方面的优越性能，在微震附近将平台运动减少了两个数量级。 该框架允许方便地优化和将传感器噪声投影到与仪器性能相关的指标上，有助于爱因斯坦望远镜的设计。 显示英文摘要

摘要： We present a multi-scale optimal control framework for active seismic isolation in the Einstein Telescope, a third-generation gravitational-wave observatory. Our approach jointly optimizes feedback and blending filters in a cross-coupled opto-mechanical system using a unified cost function based on the "acausal optimum," which quantifies sensor signal-to-noise ratios across frequencies. This method enables efficient re-optimization under varying sensor configurations and environmental conditions. We apply the framework to two candidate sensing systems: OmniSens-a six-degree-of-freedom inertial isolation system-and BRS-T360, which combines Beam Rotation Sensor (BRS) as an inertial tilt sensor with T360 as a horizontal seismometer. We demonstrate superior low-frequency isolation with OmniSens, reducing platform motion by up to two orders of magnitude near the microseism. The framework allows for ready optimization and projection of sensor noise to metrics relevant to the performance of the instrument, aiding the design of the Einstein Telescope.