物理学报2024,Vol.73Issue(6) :1-11.DOI:10.7498/aps.73.20231866

基于最优控制理论的国产光抽运小铯钟频率控制算法

Frequency control algorithm of domestic optically pumped small cesium clock based on optimal control theory

宋会杰 董绍武 王翔 姜萌 章宇 郭栋 张继海
物理学报2024,Vol.73Issue(6) :1-11.DOI:10.7498/aps.73.20231866

基于最优控制理论的国产光抽运小铯钟频率控制算法

Frequency control algorithm of domestic optically pumped small cesium clock based on optimal control theory

宋会杰 1董绍武 2王翔 1姜萌 3章宇 1郭栋 1张继海1
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作者信息

  • 1. 中国科学院国家授时中心,时间频率基准实验室,西安 710600;时间基准及应用重点实验室(中国科学院),西安 710600
  • 2. 中国科学院国家授时中心,时间频率基准实验室,西安 710600;时间基准及应用重点实验室(中国科学院),西安 710600;中国科学院大学天文与空间科学学院,北京 100049
  • 3. 西安工程大学电子信息学院,西安 710048;西安科技大学机械工程学院,西安 710054
  • 折叠

摘要

原子钟频率控制是时间保持工作中的关键技术.当前守时工作中的频率控制主要针对国外微波钟采用开环控制算法,但由于国产光抽运小铯钟(下称国产钟)的工作原理和性能不同于国外同类型原子钟,因此该算法不能很好适应国产钟.为了提升我国标准时间的自主性和安全性,本文基于国产钟的噪声特性,在最优控制理论的框架下研究了线性二次高斯控制算法,该算法属于闭环控制算法,从同步时间、频率控制准确度和频率控制稳定度方面研究国产钟性能,最后分析了不同控制间隔对国产钟性能的影响.结果表明随着二次损失函数中约束矩阵WR 的增大,同步时间延长,控制准确度降低,控制短期稳定度提高.WR 相同情况下,随着控制间隔的增大,同步时间延长,控制准确度降低,控制短期稳定度提高,对于WR = 1时,控制间隔为 1h的同步时间为5小时,控制准确度为1.83 ns,1 h的Allan偏差为1.81×10-13;控制间隔为8h的同步时间为28 h,控制准确度为4.48 ns,1 h的Allan偏差为1.48×10-13.控制国产光抽运小铯钟的中长期稳定度都得到提高.

Abstract

Frequency control of atomic clock is a key technology in time keeping operation.At present,the open-loop control algorithm is mainly used for the frequency control of foreign microwave clock,but the working principle and performance of domestic optically pumped small cesium clock(hereinafter referred to as domestic clock)are different from those of foreign atomic clock of the same type,so the algorithm cannot be well adapted to domestic clock.In order to improve the autonomy and security of the national standard time,based on the noise characteristics of domestic clock,in this work,the linear quadratic Gaussian control algorithm is studied in the framework of optimal control theory.This algorithm belongs to closed-loop control algorithm.The performance of domestic clock is studied from the aspects of synchronization time,frequency control accuracy and frequency control stability.Finally,the influence of different control intervals on the performance of domestic clock is analyzed.The results show that with the increase of the constraint matrix WR in the quadratic loss function,the synchronization time increases,the control accuracy decreases,and the control short-term stability increases.When WR is the same,with the increase of control interval,the synchronization time increases,the control accuracy decreases,and the control short-term stability increases.When WR = 1,the synchronization time with control interval of 1 h is 5 h,the control accuracy is 1.83 ns,and the Allan deviation of 1 hour is 1.81×10-13.When the control interval is 8 h,the synchronization time is 28 h,the control accuracy is 4.48 ns,and the Allan deviation of 1 h is 1.48×10-13.The medium-term stability and long-term stability of domestic optically pumped small cesium clock are both improved.

关键词

原子钟状态模型/线性二次高斯控制/Kalman滤波/原子钟噪声

Key words

atomic clock state model/linear quadratic Gaussian control/Kalman filter/atomic clock noise

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基金项目

"西部之光"人才培养计划(XAB2021YN22)

北京无线电计量测试研究所开放基金(JLJK2021001A002)

陕西省自然科学基础研究计划(2022JQ-014)

出版年

2024
物理学报
中国物理学会,中国科学院物理研究所

物理学报

CSTPCD北大核心
影响因子:1.038
ISSN:1000-3290
参考文献量23
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