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).     

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.     

State space modeling of random drift rate in high-precision gyro

A state space approach for the modeling of nonstationary time series is presented. Based on the concept of smoothness priors constraint, the overall model is fitted by using the Kalman filler and Akaike's AIC criterion. Whenever an autoregressive (AR) model with time-varying coefficient is fitted in state space model, it can be used for the time-varying spectrum estimation. Some numerical results of gyro drift models are obtained for analysis of high-precision gyro. As the trend, irregular and periodic components of the observed time series can be modeled simultaneously, it is statistically more accurate and efficient than that modeled separately     

光纤陀螺仪中尖峰脉冲引起漂移 的误差分析及其抑制

首次分析了光纤陀螺仪探测器输出信号中频率固定的尖峰脉冲对光纤陀螺 仪零偏漂移的影响机理,给出了尖峰脉冲影响光纤陀螺仪零偏漂移的误差模型;根据干 涉式数字闭环光纤陀螺仪探测器输出信号的特点,提出了一种基于高速集成模拟开关的 时域选通尖峰脉冲抑制具体实现方法,实验验证了尖峰脉冲引起的零偏漂移大小和理论 分析接近,表明了误差模型的正确性,同时表明该方法能够有效降低尖峰脉冲引起的光 纤陀螺仪零偏漂移。     

基于EMD-SVR的光纤陀螺随机误差预测

为了提升光纤陀螺随机误差建模的准确性及补偿结果,提出了一种基于经验模态分解与支持向量机结合的随机误差预测方法。鉴于随机误差的非线性及不稳定性,直接进行预测时精度不高,采用经验模态分解对原始数据进行分解以降低时间序列的复杂程度;然后根据经验模态分解得到的各本征模态函数及趋势序列,构建基于支持向量机的预测模型;再将所得的各分量的预测结果综合以得到光纤陀螺随机误差的预测结果。以光纤陀螺随机误差数据作为验证,结果表明,相较于传统的预测方法,均方根误差与平均绝对误差分别降低了78.4%和75.5%,有效提高了回归精度。     

微硅陀螺静态漂移自回归模型辨识研究

利用微硅陀螺测量的数据，运用过程辨识理论和时间序列分析方法，建立了陀螺静态漂移的自回归（AR）模型，进而得到连续微分方程。     

激光陀螺及其误差补偿

 本文介绍国外研制环形激光陀螺(RLG)的经验和现状,把误差产生机理及其补偿方法作为研究重点,这是取得成果的基础。机械抖动偏频技术有优点,得到了广泛应用,但在精度上尚不能满足精密惯性导航的要求。近年来国外正在研究的速率偏置技术显著地降低了RLG的随机误差,并可补偿常值漂移。本文讨论了这一技术的优点。     

捷联惯性导航系统动静态误差特性分析研究

捷联惯性导航系统动静态误差特性是基于惯性的组合导航系统的主要误差来源。为此,根据捷联惯性导航系统的误差状态方程,本文分析了不同动静态情况下的捷联惯导系统的误差漂移特性。针对静基座和动基座的不同特点,分别采用了特征根和基于数值仿真分析的方法,并建立了相应的误差特性分析模型。重点研究了陀螺常值漂移、加速度计零位偏置和随机性误差对惯性导航系统误差漂移特性的影响;全面分析验证了惯性导航系统的动静态误差特性。本文的研究工作将为惯性组合导航系统误差分析建模提供了有益的参考。     

基于小波域维纳滤波的激光陀螺数据处理研究

针对激光陀螺随机漂移数据的非平稳特性,设计了小波滤波器,使经小波滤波后的数据近似成为平稳序列,并进行了相应的平稳性检验.在小波变换的基础上,结合维纳滤波器处理平稳信号能力强的特点,提出了一种小波域维纳滤波法.仿真试验表明,此方法更显有效性.     

D-最优试验设计在动力调谐陀螺测试中的应用

 为了提高动力调谐陀螺的静态漂移误差测试精度,针对简化静态漂移误差模型,并且考虑陀螺安装角误差的影响,依据D-最优试验设计理论以及正交设计的均匀分散性试验设计思路,设计了一种满足D-最优性质的正交八位置试验方案,并在整个正交空间内采用全局搜索的方法验证了其D-最优性。在相同试验环境下,采用力反馈位置试验法,以全正交空间预测误差平方和最小为评价准则,对该八位置试验方案和国军标GJB1183—91中的八位置试验方案进行比较与评价,试验结果表明该八位置试验方案优于国军标GJB1183—91中八位置试验方案。     

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.     

Accurate INS Transfer Alignment Using a Monitor Gyro and External Navigation Measurements

A particular alignment mechanization for a nonmaneuvering vehicle is described which uses a monitor gyro to estimate the slave inertial navigation system (INS) equivalent east gyro drift rate and thus improves azimuth alignment. A state-space model of the dynamic system with measurements is developed. Results of covariance simulations employing Kalman filter estimation are presented for two master INS position update scenarios, one involving frequent and very accurate updates and the other including infrequent and coarse updates. The ef fects of position updates and the monitor gyro on the quality of transfer alignment are demonstrated and analyzed.     

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。     

Comments on "The Psi-Angle Error Equation in Straplown Inertial Navigation Systems"

The negative sign on the psi-angle differential equation for strapdow inertial navigation error analysis discussed by Weinreb and Bar-ltzhack is not due to differences in error propagation between gimbaled and strapdown systems, but to the definition of strapdown gyro drift rate given by them. If a consistent definition of gyro drift rate for gimbaled and strapdown systems error analysis is used, the sign change does not occur.     

基于多参量模型的光纤陀螺温度误差补偿

温度漂移误差是制约光纤陀螺精度的重要因素之一。针对传统光纤陀螺温度补偿方法仅对温度项建模导致补偿精度差的问题,提出了一种新型多参量模型来补偿光纤陀螺温度误差的方法。通过对陀螺零漂误差和温度各相关项进行相关性分析,将温度和温度速率的乘积项及温度梯度滞后项引入到温度漂移误差模型中,建立了多参量分段补偿模型对零偏进行补偿,显著改善了光纤陀螺的零偏稳定性。使用实测光纤陀螺数据对提出的补偿方法进行实验验证,结果表明采用该方法补偿后,零偏误差平方和降低2个数量级,陀螺漂移均值、方差稳定在零点附近,补偿效果优于温度项分段拟合方法,与非线性模型预测效果相当。     

金属壳谐振陀螺误差补偿方法研究

针对金属壳谐振陀螺的误差建模与补偿方法进行研究.首先,通过分析金属壳谐振陀螺的敏感机理,找到影响陀螺性能的误差源,建立金属壳谐振陀螺的误差模型.然后,研究陀螺的误差传播特性,对误差源进行分类,提出金属壳谐振陀螺的误差补偿方法.最后,利用试验方法对建立的误差模型和补偿方法进行验证.试验结果表明:经过补偿后的金属壳谐振陀螺在工作温度范围内(-45℃ ～55℃)零偏不稳定性降低至4.67(°)/h,全温度段线性度由0.2％降低至0.03％,随机游走为0.6982(°)/h1/2,陀螺的综合性能得到显著提升,证明了误差模型和补偿方法的有效性.     

陀螺力矩器标度因数变化模型及稳定性研究

 力矩器作为动力调谐陀螺(DTG)的关键器件,影响着陀螺在贮存条件下的长期稳定性。力矩器标度因数是衡量陀螺稳定性的重要参数。为研究动力调谐陀螺仪力矩器标度因数的变化原理和规律,以故障模式、机理和影响分析(FMMEA)方法为基础,分析贮存条件下陀螺力矩器标度因数变化主机理,确定影响其变化的机理部位和应力类型;结合底层主机理部件胶蠕变和磁钢退磁随环境应力、时间的变化趋势,建立系统层力矩器标度因数变化量的长期预报模型;以某DTG为例,结合其贮存剖面,进行基于模型的贮存稳定性分析,计算得到5年内力矩器标度因数变化值,与历史数据相比较,二者趋势一致,证明本文研究方法的正确性;同时利用建立的变化模型进行陀螺加速性分析,得到陀螺参数的加速因子,为加速退化试验的设计提供依据。     

Low-frequency Periodic Error Identification and Compensation for Star Tracker Attitude Measurement

The low-frequency periodic error of star tracker is one of the most critical problems for high-accuracy satellite attitude determination.In this paper an approach is proposed to identify and compensate the low-frequency periodic error for star tracker in attitude measurement.The analytical expression between the estimated gyro drift and the low-frequency periodic error of star tracker is derived firstly.And then the low-frequency periodic error,which can be expressed by Fourier series,is identified by the frequency spectrum of the estimated gyro drift according to the solution of the first step.Furthermore,the compensated model of the low-frequency periodic error is established based on the identified parameters to improve the attitude determination accuracy.Finally,promising simulated experimental results demonstrate the validity and effectiveness of the proposed method.The periodic error for attitude determination is eliminated basically and the estimation precision is improved greatly.     

The Improvement of a Low-Cost Inertial Navigator Through Conditional Feedback

A concept for providing an accurate low-cost inertial reference was presented in a previous paper. Low-cost platform gyros, poor in terms of their drift rates, furnish the space-fixed reference frame. A single high-accuracy gyro, mounted on the platform, monitors the performance of the platform gyros. Consequently, drift rates are estimated, predicted, and applied as signals to correct the platform for gyro uncertainties. This paper features new estimation and predictive techniques.     

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。