基于椭球体阵列的磁目标跟踪系统能观性研究  

Research on observability of magnetic target tracking system based on ellipsoid array

作　　者：陆斌杰 张晓兵[1] 戴忠华 LU Binjie;ZHANG Xiaobing;DAI Zhonghua(College of Weapons,Naval University of Engineering,Wuhan 430033,China;The 92279 Unit of the PLA,Yantai 264003,China;National Innovation Institute of Defense Technology,Academy of Military Sciences PLA,Beijing 100071,China)

机构地区：[1]海军工程大学兵器工程学院,武汉430033 [2]92279部队,山东烟台264003 [3]军事科学院国防科技创新研究院,北京100071

出　　处：《兵器装备工程学报》2025年第1期157-164,共8页Journal of Ordnance Equipment Engineering

摘　　要：为了解决椭球体阵列模型在水中磁目标跟踪识别中的能观性问题,建立了椭球体阵列磁场的状态空间模型,分析了非线性随机离散系统中的确定部分与随机系统的能观性。采用线性化方法求解了系统确定部分的能观性Gramian矩阵,通过Gramian秩判据分析了系统确定部分能观性。采用奇异值分解将能观性矩阵的条件数的倒数作为衡量系统确定部分能观度的指标。引入能观性矩阵的广义逆计算随机系统状态分量能观度。通过仿真试验,确定了系统能观、系统状态分量随机能观的条件,以及能观条件下各状态分量的能观度大小排序。In order to solve the problem of observability of ellipsoid array model in the tracking and recognition of magnetic targets in water,a state-space model of the magnetic field of ellipsoid array was established.The deterministic part of the nonlinear stochastic discrete system was analyzed first,and then the overall stochastic system was analyzed.The linearization method was used to solve the Gramian matrix of the deterministic part of the system,and the observability of the determined part of the system was analyzed by the Gramian rank criterion.Singular value decomposition was used to use the reciprocal of the condition number of the observability matrix as the index to measure the observability of the deterministic part of the system.Generalized inverse calculation of observability matrix was introduced to calculate observability of state component of stochastic system.The conditions of system observability,stochastic observability of system state component,and ranking of observability of each state component are determined.

关 键 词：椭球体阵列 磁目标 能观性 随机能观性 线性化 

分 类 号：TM155[电气工程—电工理论与新技术]