基于领导跟随一致性的卫星网络时频同步方法  

A Time-frequency Synchronization Method for Satellite Networks Based on Leader-following Consensus

作　　者：瞿智 王刚[2] 王天云[2] 魏俊宇 孔祥龙 QU Zhi;WANG Gang;WANG Tianyun;WEI Junyu;KONG Xianglong(College of Intelligence Science and Technology,National University of Defense Technology,Changsha 410073,China;China Satellite Maritime Tracking and Control Department,Jiangyin 214431,China)

机构地区：[1]国防科技大学智能科学学院,长沙410073 [2]中国卫星海上测控部,江阴214431

出　　处：《宇航学报》2025年第3期589-600,共12页Journal of Astronautics

基　　金：国家自然科学基金(62001491,62201598)。

摘　　要：为解决分布式卫星网络可溯源、高精度时钟同步问题,提出了基于领导跟随一致性的卫星网络时频同步方法。首先基于领导跟随一致性理论设计了卫星网络时频同步框架,构建了卫星网络时钟模型和领导跟随一致性时钟同步模型,然后利用星间/星地相对频率测量值和时差测量值,设计了基于领导跟随一致性的频率同步和时间同步控制方法,最后构建了系统Lyapunov函数,证明了卫星网络时钟领导跟随一致性控制系统的稳定性。仿真结果表明:对于不同数量规模的分布式卫星系统,当卫星网络拓扑连通时,该方法能够实现网络时钟时间和频率同步控制的快速收敛,所有卫星时钟同步且溯源到基准时钟,达到了亚纳秒级时钟同步精度。A time-frequency synchronization method for satellite networks,grounded in leader-following consensus,is introduced to address the challenge of traceability and high-precision clock synchronization in distributed satellite systems.Initially,a framework for satellite network time-frequency synchronization is devised based on the leader-following consensus theory,along with the construction of a satellite network clock model and a clock synchronization model employing leaderfollowing consensus.Subsequently,a control method for frequency and time synchronization,rooted in leader-following consensus,is formulated using inter-satellite and satellite-ground measurements of relative frequency and time difference.Ultimately,a Lyapunov function is established to demonstrate the stability of the leader-following consensus control system for satellite network clocks.Simulation outcomes indicate that,given a connected satellite network topology,this method facilitates rapid convergence in the control of network clock time and frequency synchronization across distributed satellite systems of varying sizes.All satellite clocks can be synchronized and traced to the reference clock,attaining sub-nanosecond clock synchronization accuracy.

关 键 词：分布式卫星网络 时频同步方法 领导跟随一致性 系统稳定性 

分 类 号：V443.1[航空宇航科学与技术—飞行器设计] TN927[电子电信—通信与信息系统]