工业物联网确定性调度中TDMA紧时隙时间精度边界可靠性分析  

Reliability analysis of time precision boundary for tight slots of TDMA in deterministic scheduling of industrial internet of things

作　　者：王頲[1] 段斯静 黄庆卿[1] 唐晓铭[1] 李永福[1] Wang Ting;Duan Sijing;Huang Qingqing;Tang Xiaoming;Li Yongfu(Key Laboratory of Industrial Internet of Things ＆ Networked Control,Ministry of Education Chongqing University of Posts and Telecommunications,Chongqing 400065,Chin)

机构地区：[1]重庆邮电大学工业物联网与网络化控制教育部重点实验室

出　　处：《仪器仪表学报》2018年第6期120-131,共12页Chinese Journal of Scientific Instrument

基　　金：国家自然科学基金(51605065);国家自然科学基金(61403055);重庆市教育委员会科学技术研究项目(KJ1600402);重庆市前沿与应用基础研究项目(CQ CSTC 2014JCYJA40005);重庆市前沿与应用基础研究项目(CQ CSTC 2014JCYJA40025,CQ CSTC2017jcyi AX0453)资助

摘　　要：针对如何保证物联网确定性调度中时分多址（TDMA）紧时隙时间精度边界,首先建立不完全观测的绝对时钟同步状态空间模型;根据间歇观测方程推导修正的绝对时钟卡尔曼滤波器,得到了随机误差协方差迭代式;然后将误差协方差迭代式建模为修正的黎卡提微分方程,研究稳态误差协方差的统计特性;利用凸优化理论和线性矩阵不等式（LMI）工具求解时钟状态估计的临界包到达率和估计误差协方差的统计收敛边界。面向网络参数配置和TDMA时隙的紧边界应用需求,定量分析存在观测值丢失的时钟同步误差与精度边界,建立时钟同步精度边界与无线网络的权衡关系,并提出存在观测值丢失时保时带大小设计方法。In deterministic scheduling of internet of things,the time division multiple access（TDMA） tight slots time precision boundary should be ensured. First,this paper establishes the absolute clock synchronization state space model of intermittent observation.According to the intermittent observation equation,the modified absolute clock Kalman filter is deduced,and the random error covariance iteration equation is obtained. Then,the error covariance iterative model is used to modify the Riccati differential equation,the statistical properties of the steady-state error covariance are studied. Finally,the statistical convergence bounds of the critical packet arrival rate and the estimated error covariance of the clock state estimation are both solved,by using the Convex optimization theory and the linear matrix inequation（LMI） tool. For application requirements of network parameter configuration and the tight boundary of the TDMA slot,the clock synchronization error and accuracy of the boundary are quantitatively analyzed when existence of the observation is lost. the trade-off relationship between the clock synchronization precision boundary and the wireless network is established. Moreover,the design method of Guard time bound size is proposed when the observation is lost.

关 键 词：工业无线传感器网络 时钟同步 卡尔曼滤波 观测值丢失 误差协方差 

分 类 号：TP393[自动化与计算机技术—计算机应用技术] TH701[自动化与计算机技术—计算机科学与技术]