Spectral Analysis of Optimal and Suboptimal Gyro Monitoring Filters

Gyro monitoring filters are used to estimate and correct gyro drift rates of local-level inertial navigation systems. Conventional gyro monitoring filters are usually designed based on a simplified model of gyro drift rate. Furthermore, the effectiveness of these filters-and of many filters of the "Kalman" type-is often measured in terms of the root mean square (rms) criterion in contrast to the spectral content criterion typical of classical Wiener filtering theory. This paper has two objectives: to propose a gyro monitoring filter which is based on a more detailed model of gyro drift rate; and to propose a method of filter performance evaluation which uses as criterion a measure of the spectral content of the error process. The proposed gyro monitoring filter is shown to have improved spectral contents resulting in superior navigation performance for the gyro error models used in the calculations (comparable to commercial-grade aircraft gyros).     

Autonomous Upgrading of Inertial Navigation Systems

The performance of substandard inertial platform gyros can be improved through the sampled supervision of their operation by a higher grade gyroscope mounted directly on the platform. The relative drift rates of the susbstandard platform gyros are estimated on a cyclical basis. This paper describes techniques for estimating the drift rates. It deals with the method of applying these estimated values in the form of platform correction signals.     

陀螺敏感轴交叉耦合对稳定平台角速度的影响分析

光电稳定平台中的陀螺装调误差影响平台角速度的测量精度。研究了速率陀螺稳定平台角速度的计算方法,重点是陀螺敏感轴交叉耦合情况下平台角速度的计算。得到了稳定平台角速度的理论计算公式,在此基础上,得到了理想情况和陀螺敏感轴交叉耦合情况下的测量计算公式。仿真和试验表明,对陀螺敏感轴的交叉耦合进行补偿,可以有效改善视线角速度的测量精度。     

稳定平台中陀螺漂移自适应实时估计算法

 针对陀螺稳定平台的漂移问题,建立了陀螺稳定跟踪装置在不同工作模式下陀螺漂移的数学模型,指出稳定模式下包含常值漂移和相关漂移的陀螺低频噪声是影响稳定精度的主要原因。提出一种自适应实时估计算法,采用卡尔曼滤波框架和滤波器收敛判据,结合Sage-Husa滤波和加权Sage-Husa滤波算法,利用跟踪器跟踪静止目标时输出的脱靶量信号对陀螺常值漂移和相关漂移进行估计。实验结果表明:该算法能够在系统模型和噪声特性均不准确的情况下使用,收敛时间小于3 s,估计均方差小于0.02 (°)/s,具有良好的鲁棒性和自适应能力。     

一种新型机载对地观测用三轴稳定平台陀螺安装方式

陀螺安装方式及相应的算法编排是稳定平台设计中的一项关键技术。针对机载对地观测用三轴稳定平台特点,提出了将方位陀螺安装在方位环上,俯仰陀螺和横滚陀螺安装在俯仰环上的陀螺安装方式。利用空间矢量分解理论分析了陀螺输出角速度信号的投影关系及电机控制信号的分配;基于稳定平台系统模型,对理想正交情况和考虑陀螺安装误差情况进行了仿真分析,验证了此种安装方式的可行性和优越性。分析表明,在同等条件下,所提出的安装方式减小了稳定平台的机械尺寸,降低了稳定平台的重量和功耗,实现了三维角速度的正交测量,简化了三轴解耦控制算法。研究结论可为其他三轴稳定平台结构设计和陀螺安装方式设计提供参考。     

一种星敏感器-陀螺组合定姿的实时在轨标定方法

研究了一种星敏感器一陀螺组合定姿方式中的姿态敏感器误差的实时在轨标定方法。首先,选择直观的欧拉角作为姿态描述参数,根据星敏感器和陀螺的测量原理建立星敏感器一陀螺在轨标定的测量方程和状态方程,并以此建立数学模型。其次,采用简单高效的EKF（ExtendedKalmanFilter,扩展卡尔曼滤波）作为估值算法,进行了在轨标定数值仿真。对于航天器姿态定向中出现的姿态角和星敏感器安装角之间的耦合问题,通过在特定姿态通道上施加简单姿态机动实现了解耦。数值结果表明,该实时在轨标定方法,尤其是所提出的姿态角和星敏感器安装角解耦策略,可以实现对航天器姿态的实时精确估计以及对星敏感器安装误差、陀螺常值漂移和相关漂移等误差的实时在轨标定。该方法可用于航天器姿态测量设备的实时在轨标定和航天器姿态的高精度实时确定。     

The Least-Square Approximation of Inertial Platform Drift

The drift angle of an inertial platform which is gyro-stabilized with respect to inertial space is equal to the integral of the gyro drift rate. Under controlled laboratory environment the drift angle, denoted by y, may be measured and plotted against time in an interval [0, T]. Without loss in generality, one may take y(0)= 0. A straight line yf can be found, such that the quantity E2 is minimized, where begin{equation*}E^2 = {frac{1}{T}int^{T}_{0}(y-y_f)^{2}}dt.end{equation*} The equation for yf is of the form yf = at + b and, in general, both a and b are nonzero. It is desirable to determine a statistical relationship between the gyro drift rate and the expected value of the minimum E2 for any given interval T. An analysis in this paper determines this relationship and derives a general expression for , where the symbol <*> denotes statistical expectation. It is found that increases linearly with the variance of the gyro drift rate. This general formula is then developed in detail for the case of a first-order Markovian gyro drift. is evaluated numerically and its square root plotted vs. the interval T and the gyro correlation time. The same problem is also solved for the case when yf is constrained to intersect the origin, i.e., when b=0.     

Ground Testing of Inertial Navigators to Improve Dynamic Performance

A ground testing method has been devised to evaluate the dynamic errors of an inertial navigation system. A trimmed stationary inertial system in the navigation mode can be subjected to programmed platform orm drift rates, and generate position outputs which are compared with those of a perfect navigator. The linearized error equations for this testing mode are derived and the resulting position error propagation is analyzed using Kalman filtering in order to identify the error sources. A simulated platform with a fixed set of error sources is analyzed to evaluate this testing concept. An example is presented to show that the gyro and accelerometer scale factor and misalignment error coefficients can be estimated.     

Fast alignment and calibration algorithms for inertial navigation system

Algorithms for fast estimating the azimuth misalignment angle and calibrating gyro drift rates are approached from the point of view of control theory. By introducing the Lyapunov transformation, the equivalence of Strapdown Inertial Navigation System (SINS) and Gimbaled Inertial Navigation System (GINS) is discussed, and it shows that the analysis results of GINS can be applied to SINS directly by using such kind of equivalence. A similar transformation that based on physical essence is introduced, so that the true states can be replaced by the so-called pseudo-states, and then the observable states of INS can be dynamically decoupled with the unobservable states. Consequently, the best completely observable subsystem model of INS can be obtained. Based on the simplified subsystem model of INS, the algorithms for fast estimating the azimuth misalignment angle and calibrating gyro drift rates are proposed. The proposed algorithms show that the azimuth misalignment angle and gyro drift rates can be estimated from the rates of leveling misalignment angles without using the gyro output signals.     

Principles Involved in the LM Rendezvous Radar Redundant Gyro System

For typical failure rates the probability of two or more of four gyros failing is very much less than one or both of two. Thus, a single redundancy system of four gyros greatly enhances system reliability. The orientation of the sensitive axes of four gyros is specified and means of generating outputs dependent only on gyro inconsistencies are defined. The voting logic and plots of switching decision zones are developed. The hardware required to implement this logic is shown to be simple and thus reliable. The use of rate integrating gyros requires the limitation of error integration time in order to avoid spurious failure signals. This is achieved by a reset cycle which realigns the four gyros at regular intervals. False error signals can be generated if inputs are large enough to exceed linear ranges of various components downstream of the gyros.     

多退化变量下基于Copula函数的陀螺仪剩余寿命预测方法

针对惯性导航系统中陀螺仪多退化变量条件下的剩余寿命（RUL）预测问题,提出了一种基于Copula函数的多退化变量剩余寿命预测方法。首先,针对退化变量间不同的退化轨迹,采用不同的方法进行退化建模,并对于陀螺漂移系数样本标准差数据波动性随时间递增的特性,提出了一种方差时变的正态随机过程退化建模方法,得到了陀螺仪剩余寿命的边缘分布函数。然后,通过Copula函数来描述退化变量之间的相关性,将得到的剩余寿命的边缘分布进行融合,得到了陀螺仪剩余寿命的联合分布函数。最后,通过陀螺仪实例分析验证了方法的适用性和可行性。     

Inertial System Platform Rotation

Differential error equations are derived for the navigation errors of a local level undamped pure inertial platform that continuously rotates in azimuth. From these, the time response equations for the vector position error produced by a constant level gyro drift error, as a function of platform rotation rate, are computed and evaluated. It is shown that platform rotation attenuates the system position error due to level gyro bias and that this attenuation is a nonlinear function of rotation rate.     

基于卫星和星敏感器的冗余激光惯组在轨标定

采用高精度卫星导航速度、位置信息以及星敏感器提供的姿态信息设计十表冗余捷联惯组的标定模型,包含陀螺和加速度计的零次项和标度因数,对卫星和星敏感器辅助的冗余激光陀螺捷联惯组进行实时在轨标定.利用标准Kalman滤波和Sage-Husa自适应滤波作为估计算法,对十表冗余捷联惯组参数进行在线估计.数值仿真结果表明:参数标定精度均在7％以内,是一种实时的在轨标定方法,满足误差补偿要求.冗余惯组在轨标定方法为航天器高精度定姿和定轨提供了一种理论参考.     

基于FPGA的FIR滤波器设计与实现

本文根据激光陀螺仪信号的解调原理,提出了一种利用数字信号处理技术并采用FPGA实现的解调方法。分析了FIR滤波器的工作原理,根据激光陀螺仪对滤波器的要求,给出了由FPGA设计实现FIR滤波器的基本原理,并利用IP核实现了FIR滤波器,满足了激光陀螺仪的需求。通过在国产激光陀螺仪上的应用,验证了方案的正确性。通过对激光陀螺仪脉冲计数的高速采样并利用数字滤波器处理,可以有效的消除抖动引起的信号噪声,得到所需要的惯性信息。采用FPGA设计实现,可以提高运算速度,并且可以缩短数据采样的延时。     

Gyro Misalignment and Encoder Quantization Effects During Multi-Axis Evaluation of Strapdown Gyros

This paper presents a quantitative discussion of two error sources which affect the accuracy of data comparison between instrument outputs and reference angle computations during multi-axis evaluation of strapdown gyros. The error due to misalignment of gyro input axes is formulated in terms of closed-form solutions for typical relationships between the three table gimbal rotation histories. If the angular positions of the table gimbal axes are measured by shaft encoders, then any measurement has an uncertainty in the range from plus to minus one-half of the quantization level. It is shown that the effect of encoder quantization error on the computer transformed angles in the bodyfixed coordinate system can be divided into two parts: the initial uncertainty of the zero positions of the gimbals before table motion is begun, and all subsequent error contributions during table test. Typical data for gyro misalignment and encoder quantization error effects are presented.     

Magnetically suspended MEMS spinning wheel gyro

A concept of a magnetically suspended spinning wheel gyro is described. The gyro is based on a patented, planar magnetic actuator and position sensor configuration with a gyro wheel that is rotated by a multi-phase electromagnetic spin motor. The motor and actuator/sensor configurations, in addition to providing the necessary forces to suspend the spinning wheel, are amenable to fabrication using some of the developing MEMS fabrication technologies, making batch fabrication of the gyro possible. This provide the capability for high production yield in high volume through the use of batch processing, without the need for skilled hand labor, resulting in high yields, high reliability, and low cost of ownership. The gyro concept is described in detail. The high-speed rotation of the wheel, somewhat smaller than a dime, can produce an angular momentum much larger than that of the Coriolis force based MEMS gyros now receiving intensive development, and is expected to provide considerably higher performance than currently available from this class of instrument. Two axes of angular rate information and three axes of acceleration information are provided by the control loops that center the wheel within the case. Thus, two such magnetically suspended spinning wheel gyros can be used to implement a complete IMU, and can also provide redundancy in three of the five degrees of freedom     

IDENTIFICATION OF GYRO DRIFTS UNDER THREE AXIS ATTITUDE COUPLING

ＩＤＥＮＴＩＦＩＣＡＴＩＯＮＯＦＧＹＲＯＤＲＩＦＴＳＵＮＤＥＲＴＨＲＥＥＡＸＩＳＡＴＴＩＴＵＤＥＣＯＵＰＬＩＮＧＪＩＮＧＷｕｘｉｎｇ（荆武兴），ＷＡＮＧＸｕｅｘｉａｏ（王学孝），ＷＵＹａｏｈｕａ（吴瑶华）（ＨａｒｂｉｎＩｎｓｔｉｔｕｔｅｏｆＴｅｃｈｎ...     

适合航天飞机应用的星体跟踪器

本文推导了航天飞机采用新型探测器件——电荷耦合器件CCD（ChargeCoupled DeVices）组成的星体跟踪器进行姿态稳定的公式。并提供一种适合航天飞机应用的星体跟踪器原理样机。     

线振动下惯导平台参数辨识的实现

研究了软性连接条件下线振动试验辨识惯导平台陀螺参数的方法。由于在此条件下原始模型不便用于辨识参数,为此提出了平台漂移的平均模型。对比静态模型指出了线振动对模型参数辨识的实质作用。由于利用平均模型来辨识平台参数存在参数冗余的局限性,因此利用两组不同幅值的线振动试验数据来进行辨识。最后验证了这种辨识方案不仅避免了静态条件下高阶陀螺参数难以收敛的问题,同时也解决了平均模型中参数冗余的局限性问题。     

High-Reliability Strapdown Platforms Using Two-Degree-of-Freedom Gyros

This paper presents a new concept of high-reliability strapdown attitude sensing systems for space vehicles. Each system utilizes a set of redundant two-degree-of-freedom gyros. An optimum system configuration is obtained for maximum system reliability and the best measurement accuracy. Improved accuracy of the final data is obtained by using the least-square data reduction technique. Each system possesses a ?sensor performance management? feature which is capable of failure detection, faulty gyro identification, system reconfiguration, and, possibly, sensor recalibration. Improvement in reliability, as compared to other types of strapdown systems, is demonstrated. Details of the development are described in terms of a system containing four gyros.