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Main Authors: Shao, Yongbin, Zhao, Xinyi, Ma, Long, Xin, Ming
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2510.17468
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author Shao, Yongbin
Zhao, Xinyi
Ma, Long
Xin, Ming
author_facet Shao, Yongbin
Zhao, Xinyi
Ma, Long
Xin, Ming
contents Arm-locking frequency stabilization is a key technique for suppressing laser frequency noise in space-based gravitational-wave detectors. The robustness of the arm-locking control loop is crucial for maintaining laser frequency stability, which directly impacts the accuracy of gravitational-wave measurements. In this work, a parametric stability analysis framework is developed by combining the D-subdivision theory with the Semi-Discretization method to map the stability regions of arm-locking systems in the parameter space and identify their critical stability boundaries. Based on the frequency-domain characteristics, a robust arm-locking controller is designed to enhance loop stability under parameter perturbations. Theoretical analysis and time-domain simulations confirm that the proposed controller maintains closed-loop stability and realize suppression of laser frequency noise against parameter perturbation.
format Preprint
id arxiv_https___arxiv_org_abs_2510_17468
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Robustness Analysis and Controller Design of Arm-locking System in Space-based Gravitational Wave Detectors
Shao, Yongbin
Zhao, Xinyi
Ma, Long
Xin, Ming
General Relativity and Quantum Cosmology
Instrumentation and Methods for Astrophysics
Arm-locking frequency stabilization is a key technique for suppressing laser frequency noise in space-based gravitational-wave detectors. The robustness of the arm-locking control loop is crucial for maintaining laser frequency stability, which directly impacts the accuracy of gravitational-wave measurements. In this work, a parametric stability analysis framework is developed by combining the D-subdivision theory with the Semi-Discretization method to map the stability regions of arm-locking systems in the parameter space and identify their critical stability boundaries. Based on the frequency-domain characteristics, a robust arm-locking controller is designed to enhance loop stability under parameter perturbations. Theoretical analysis and time-domain simulations confirm that the proposed controller maintains closed-loop stability and realize suppression of laser frequency noise against parameter perturbation.
title Robustness Analysis and Controller Design of Arm-locking System in Space-based Gravitational Wave Detectors
topic General Relativity and Quantum Cosmology
Instrumentation and Methods for Astrophysics
url https://arxiv.org/abs/2510.17468