Regulation of the optical path difference (OPD) is a significant part of space distributed optical interferometers. The OPD is required to regulate within 0 ± 20 nm in this paper, which can hardly be satisfied by the control capability on spacecraft bus level in a real world mission. A dual-stage regulate method based on the robust integral control is proposed to regulate the OPD arising from relative motion, especially relative velocity residual between two formation-flying satellites. A classic PID control law is designed for the coarse-level motion platform, which is employed to regulate the OPD within micrometer order. And a robust integral control law is designed for the fine-level motion platform, which is used to regulate the residual OPD within nanometer order. The effectiveness of the proposed dual-stage control scheme is verified by numerical simulations, and the OPD can thus be regulated within 0 ± 10 nm in one side after about 4.6 s, so that 0 ± 20 nm OPD can be guaranteed. Regulation results for the non-robust integral control are also given as comparison.

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Dual-stage Regulation of the OPD in Space Optical Interference System Based on the Robust Integral Control

  • Xin Jing,
  • Kailin Yin,
  • Senhao Hou,
  • Yibing Hou,
  • Chenhao Wei,
  • Qu Zhi,
  • Chenjia Zhao,
  • Baorui Luo,
  • Jianjie Yin,
  • Zhuoxi Huo

摘要

Regulation of the optical path difference (OPD) is a significant part of space distributed optical interferometers. The OPD is required to regulate within 0 ± 20 nm in this paper, which can hardly be satisfied by the control capability on spacecraft bus level in a real world mission. A dual-stage regulate method based on the robust integral control is proposed to regulate the OPD arising from relative motion, especially relative velocity residual between two formation-flying satellites. A classic PID control law is designed for the coarse-level motion platform, which is employed to regulate the OPD within micrometer order. And a robust integral control law is designed for the fine-level motion platform, which is used to regulate the residual OPD within nanometer order. The effectiveness of the proposed dual-stage control scheme is verified by numerical simulations, and the OPD can thus be regulated within 0 ± 10 nm in one side after about 4.6 s, so that 0 ± 20 nm OPD can be guaranteed. Regulation results for the non-robust integral control are also given as comparison.