With widespread use of application inertial navigation , people pay more and more attention to high accuracy and fast initial alignment . the paper - ' study and simulate on moving base initial alignment of strapdown inertial navigation system ( sins ) " , study systematically and all - around the design and realization moving base initial alignment of sins , some further research is done for application of kalman filter in initial alignment , observability and its degree 本文《捷联惯导系统动基座初始对准研究与仿真》 ,较为系统和全面的研究了捷联式惯导系统动基座的初始对准,并对卡尔曼滤波在初始对准中的应用,系统可观测性和可观测度的分析方法和仿真进行了较深入的研究。
The kalman filter theory is introduced and the dynamic error vector equation of the initial alignment is derived at the first . using velocity error as exterior value of observation , maneuverable characteristic that is influenced with system ' s observability and its degree is studied at length by do amount of simulations and experiences . choosing output error of accelerometers and angle error of attitude as observation respectively and system observation model is derived , which is based on analyzing kalman filter theory 首先介绍了卡尔曼滤波理论及相关技术,建立了系统卡尔曼滤波的状态方程和观测方程;首先采用速度误差作为观测值,详尽的研究了系统机动特性对可观测性和可观测度的影响,并做了大量仿真实验:通过对滤波原理的分析研究了影响的原因;分别选用加速度计输出误差和转台输出姿态角误差作为外部观测值,推导建立它们的观测模型,并通过仿真证明了分析结论的正确性。
Abstract : the attitude error performance of electrostatic gyro should be understood and the relevant error equations must be set up in order to ensure the navigation precision of esgm . the relation between the navigation errors and the attitude errors of gyro was derived by use of spherical triangle . the simulation results show that the temporal performances of the longitudinal and distance errors which come from the initial alignment errors are periodically variational . they also show that the longitudinal and distance errors resulted from gyro drifts are not convergent in time . thus , the effects of initial alignment errors and gyro drifts can not be neglected and must be estimated and compensated 文摘:为了保证静电监控器的导航定位精度,需要了解静电陀螺的姿态误差特性,建立相应的误差方程.本文采用球面三角形原理推导了导航定位误差与陀螺姿态误差的关系式.仿真结果表明,由初始定向误差引起的经度误差和距离误差的时间特性是周期变化的;由陀螺漂移引起的经度误差和距离误差是随时间发散的.因此,初始定向误差和陀螺漂移的影响不能忽略,必须对其进行估计和补偿
This paper starts with the error model of sins , studies deeply for the demand of gyrocompass theory , and builds an initial alignment mathematics model , then design the arithmetic and control flow , following the initial alignment mathematics model , chose the control parameters properly , following the auto control theory 理论上,由捷联式惯导系统误差模型开始,结合罗经对准原理,建立罗经对准数学模型。在此基础上,设计算法和控制流程,并依据控制理论选择适当的控制参数。
A piece - wise constant system ( pwcs ) method and singular value decomposition method of observability matrix of a dynamic system is proposed . and the good effect is achieved for analyzing observability and its degree of strapdown inertial navigation systems in initial alignment stage . through the computer simulation for different maneuver trajectories of the carrier in initkil alignment stage , obtain some important results 本文对捷联式惯导系统动基座初始对准这种时变系统,研究和分析了pwcs (分段线性定常系统)方法来判断系统的可观测性,奇异值分解的分析方法判断系统各状态的可观测度,并通过大量的仿真实验,验证了这两种方法,得出了一些重要信息。