Error Covariance Analysis of a Karhunen-Loeve Random Field Estimator

An error covariance analysis of a two-dimensional Karhunen-Loeve random field estimator (KLE) for gridded gravity data is presented without actually using the data. Attention is focused particularly on the north-south deflection component of the disturbance vector so that the rms value of its residual error may not exceed 3 percent of the signal rms for grid spacing of not less than 5 nm, when signal-to-noise ratio in the data is varied within reasonable limits. To achieve this rather stringent goal, a discrete KLE derived entirely from a two-dimensional grid configuration is needed. The KLE for geodesy applications was developed initially by Bose. Using continuous measurements and the orthogonality relations of the Karhunen-Loeve (KL) eigenvectors in a continuous domain, continuous KL gain coefficients ?mnj and consequently the continuous KL gain vector Kmn were obtained; thus a satisfactory continuous KLE was achieved. However the discrete version of the KLE was then given by keeping the old (continuous) ?mnj, and simply computing the KL eigenvectors on the grid coordinates to evaluate the discrete KL gain vector Kmn. Clearly this is not a satisfactory discrete KLE since , ?mnj are not constants but rather depend on the measurement noise variances. So if the measurements are now going to be discrete, one must rederive ?mnj for this situation.     

Gravity modeling in aerospace applications

The science of inertial navigation has evolved to the point that the traditional gravity model is a principal error source in advanced, precise systems. Specifically, the unmodeled vertical deflections of the earth's gravitational field are a major contributor to CEP (circular error probable) divergence in precise terrestrial inertial navigation systems (INS). Over the years, several studies have been undertaken to the development of advanced techniques for accurate, real-time compensation of gravity disturbance vectors. More complex on-board gravity models which compute vertical deflection components will reduce the CEP divergence rate, but imperfect modeling due to on-board processing limitations will still cause residual vertical deflection errors. In order to eliminate or reduce gravity-induced errors in the INS requires measurement of gravity disturbance values and in-flight compensation to the inertial navigator. It is assumed in this paper that gravity disturbance values have been measured prior to the airborne mission and various techniques for compensation are to be considered. As part of a screening process in this study, several gravity compensation techniques (both deterministic and stochastic models) were investigated. The screening process involved identification of gravity models and algorithms, and developments of selection criteria for subsequent screening of the candidates.     

一种基于协方差矩阵加权的阵元误差补偿STAP处理

机载多通道阵列雷达天线在工程实践中不可避免地存在各类阵元误差,所产生的通道失配问题会对空时二维自适应处理的性能造成大的影响。对存在阵元误差时的阵列信号模型进行了分析,提出了一种基于协方差矩阵加权（CMT）的阵元误差补偿空时自适应处理（STAP）方法,在工程应用中该加权矩阵可通过地面天线定标及校飞过程确定,通过对总干扰协方差矩阵估计的加权预处理,可将实际阵元误差对STAP性能的影响控制在测量误差的影响范围,最后通过仿真验证了算法的有效性。     

单轴旋转捷联惯导系统重力扰动补偿方法研究

随着惯性器件精度的提升以及系统级补偿技术的应用,惯性导航系统精度得到不断提升。原先忽略的一些误差源如重力扰动,成为制约惯导精度进一步提升的关键。针对该问题,研究了单轴旋转捷联惯导系统重力扰动补偿,补偿所需重力扰动信息通过德国波尔茨坦GFZ研制的EIGEN-6C4计算得到。仿真结果表明,经重力扰动补偿后,单轴旋转捷联惯导系统精度有显著提升。     

Kalman Filter Compensation for a Special Class of Systems

Filter compensation techniques for several special but practical cases are discussed. A general set of bias and covariance equations for linear filters with modeling errors is first summarized. A method for relating the modeling errors to the selection of the covariance of "process noise" for model error compensation is suggested. A performance ordering for cases when the true system becomes a subsystem of the model used for the filter construction is given. A bias correcting filter is derived for the case when the filter is matched only to a subsystem of the actual system.     

基于遗传算法的机器人负载重力补偿优化算法研究

航空航天装配领域,利用安装在机器人末端的六维力传感器来感知外力是实现工业机器人柔顺装配的关键技术之一,而负载的存在会干扰对外力的感知。针对工业机器人末端负载的重力补偿,提出一种基于遗传算法的重力补偿优化算法。此方法以误差平方和最小为目标建立了最优解模型,利用遗传算法求解,最终可以在不使用测量仪器的情况下,估计力传感器安装偏角,提高重力补偿精度。同时设计了特定的机器人测量姿态来减少系统误差。试验表明,优化算法可以补偿任意角度的力传感器安装偏角,与补偿前相比,各方向最大重力补偿误差及平均重力补偿误差都有所减小。     

带单轴稳定的惯性导航系统

 根据平台式和捷联式惯性导航系统的主要特点,如何简化平台式系统的平台结构和减小捷联式系统对陀螺大动态范围的要求,降低成本并减小体积、重量和增加可靠性,是人们十分关心的事。为此,本文提出只沿飞行器横滚轴使用一个稳定回路的惯性导航系统。文中对该系统的原理构造及误差模型进行了叙述。以误差方程为基础,利用协方差分析方法,针对短程导弹假定的机动条件和飞行轨迹对其误差传播特性进行了模拟计算。在计算程序上采用了级数迭代算法。计算的结果对实际使用提供了参考。系统的基本工作特性近似于捷联式系统,但在很大程度上降低了对陀螺动态范围的要求,使得有可能实现既简单又可靠、成本低廉的短程飞行器使用的惯性导航与制导系统。     

Balloon gravimetry using GPS and INS

Measurement of the horizontal components of gravity at altitude using balloon-borne instrumentation consisting of a Global Positioning System (GPS) receiver and a strapdown inertial navigation system (INS) is discussed. GPS data are to be used primarily to determine the total inertial acceleration of the balloon, while the INS accelerometers sense all nongravitational accelerations. A covariance analysis based on the Kalman filter shows that conventional gravity estimation from GPS-aided INS data is possible only if external attitude updates are also available. An alternative technique is explored that attempts to estimate at least part of the gravitational spectrum without modeling the gravity disturbance as a state variable or relying on external attitude updates, while, at the same time, admitting uncorrected (long-wavelength) attitude errors. Simulations based on a model for typical balloon motion are used to discuss this possibility     

On-orbit calibration of satellite antenna-pointing errors

A pragmatic approach is presented to the on-orbit calibration of the spaceborne gimbaled parabolic reflector antennas to enhance their pointing and tracking accuracies in the presence of unknown structural deformations and other errors. The technique described is based on the second-order extended Kalman filter. Except for some knowledge of Kalman filtering, the work is self-contained and tutorial in character, developing necessary error models and deriving most pertinent equations from first principles. Preliminary simulations, from which covariance analysis results have been obtained, indicate a 66% improvement in the accuracy of the antenna pointing angles     

基于稀疏表示的双基地MIMO雷达多目标定位及幅相误差估计

 基于稀疏表示理论,提出一种新的双基地多输入多输出(MIMO)雷达收发角度及幅相误差估计算法。利用接收数据,分别构造发射和接收协方差矩阵,并以列向量化后的发射和接收协方差矩阵为量测信号建立2个一维稀疏线性模型,构造模型求解的 L₂-L₁ 混合范数优化目标函数,通过交替迭代寻优获得目标角度估计和幅相误差估计,最后给出了本文算法的收敛性分析。与现有算法相比,该算法充分利用了目标发射和接收空域的稀疏特性,且能够通过对噪声功率的预估计来抑制噪声。仿真结果表明:在低信噪比(SNR)条件下,本文算法仍能够得到较好的估计精度,且对幅相误差具有一定的稳健性。     

Adaptive detection threshold optimization for tracking in clutter

The adaptive optimization of detection thresholds for tracking in clutter is investigated for the probabilistic data association (PDA) filter. Earlier work on this problem by T.E. Fortmann et al. (1985) involved an approximate steady-state analysis of the state error covariance and is only suitable for time-invariant systems. Furthermore, the method requires numerous assumptions and approximations about the error covariance update equation, and uses a cumbersome graphical optimization algorithm. In this work we propose two adaptive schemes for threshold optimization, namely prior and posterior optimization algorithms which minimize the mean-square state estimation error over detection thresholds which depend on data up to the previous and current time-step, respectively. These algorithm are suitable for real-time implementation in time-varying systems. Some simulation results are presented     

Multiposition alignment of strapdown inertial navigation system

The authors demonstrate that the stationary alignment of strapdown inertial navigation system (SDINS) can be improved by employing the multiposition/technique. Using an observability analysis, it is shown that an optimal two-position alignment not only satisfies complete observability conditions but also minimizes alignment errors. This is done by analytic rank testing of the stripped observability matrix and numerical calculation of the error covariance. It is also shown that an optimal three-position alignment accelerates the convergence of the alignment error compared with two-position alignment     

Inertial navigation system synthesis approach and gravity-inducederror sensitivity

A design criterion for improving the performance of the speed-damped inertial navigation system is presented. The single-axis speed-damped system is approached by optimizing the response of the system to a step-function disturbing signal. Butterworth, integral of time-multiplied absolute-value of error (ITAE), and solution-time standard forms are assumed to be the figures of merit for optimizing the system performance. The steady-state RMS (root-mean-square) gravity-induced navigation errors that are excited in the speed-damped system are determined for two gravity uncertainty models. The proposed figures of merit are compared. These comparisons reveal the sensitivity of predicted navigation errors to uncertainties in the gravity statistics, and simplify the choice of a suitable figure of merit for use in the design and error analysis of inertial navigation systems     

静压源误差修正及其在大气数据计算机的应用

 静压源误差直接影响飞机战术性能的发挥,是飞机设计、大气数据计算机研制及飞行试验面临的重要课题之一。本文从工程实践角度出发,分析静压源误差及其影响因素,以及静压源误差的修正。     

SINS/ANS integration for augmented performance navigation solution using unscented Kalman filtering

The fundamental concept of the multisensor integrated navigation system is the utilization of a medium precision INS in conjunction with one or more auxiliary sensors which perform as error bounding sources. Strapdown inertial navigation system (SINS) integrated with astronavigation system (ANS) yields reliable mission capability and enhanced navigational accuracy for spacecrafts. The theory and characteristics of integrated system based on unscented Kalman filtering is investigated in this paper. This Kalman filter structure uses unscented transform to approximate the result of applying a specified nonlinear transformation to a given mean and covariance estimate. The filter implementation subsumed here is in a direct feedback mode. Axes misalignment angles of the SINS are observation to the filter. A simple approach for simulation of axes misalignments using stars observation is presented. The SINS error model required for the filtering algorithm is derived in space-stabilized mechanization. Simulation results of the integrated navigation system using a medium accuracy SINS demonstrates the validity of this method on improving the navigation system accuracy with the estimation and compensation for gyros drift, and the position and velocity errors that occur due to the axes misalignments.     

MEMS惯性器件误差建模和补偿方法研究综述

针对MEMS惯性器件的特点,结合国内外相关文献资料,讨论了MEMS陀螺、加速度计这两类惯性器件的误差建模和误差补偿方法,文中将其误差分静态、动态和随机三类,详细地分析了各自的误差模型、参数标定方法和误差补偿方法,重点讨论陀螺随机误差建模及补偿技术,供广大研究人员参考。     

航空用磁致伸缩油量传感器的研究与设计

飞机油箱剩余油量的精确测量是项很复杂的工作。它涉及到液位测量，飞行姿态误差修正，气压和温度引起的燃油密度的变化对测量影响的修正，油箱形状和结构的不规则带来的高度一体积一质量关系的非线性等诸多因素。本文着重介绍了将磁致伸缩传感技术应用到油量测量中重要的环节——液位测量中的原理及传感器结构，应用该方法可使液位测量的精度得到很大提高，为后续误差修正和数据处理打下良好的基础。     

惯性组合误差射前等效补偿方法研究

为了解决原有的惯性组合工具误差有修正的不能准确分离加速度计零次项与一次项的缺点，在分析弹道特性和工具误差被偿模型的基础上，提出了加速度计误差射前等效补偿方法，实现了在导弹临射前对纵向加速度计零次项和一次顶误差的等效补偿。     

基于力位协同控制的大飞机机身壁板装配调姿方法

为校正中机身壁板由于重力和调姿内力产生的变形，提高中机身壁板装配调姿精度，提出了一种基于力位协同控制的装配调姿方法。通过将调姿机构等效为并联机构，推导了调姿机构的解析正反解模型；根据螺旋理论，建立了力传感器测量值与重力、调姿内力之间的映射关系，实现重力补偿值的动态计算，基于局部刚体-弹性连接假设，通过多元线性回归方法构建了调姿内力转化为位置补偿量的模型；根据Clamped-Free变形协调原理，简化了定位器调姿内力之间的协调关系，在此基础上提出了重力前馈补偿和调姿内力转化为位置补偿的力位协同控制策略，并对其进行了理论分析与设计。最后，对所提出的控制策略进行了仿真分析，结果表明采用力位协同控制方法，调姿定位精度提高35.3%，调姿内力降低77.8%，通过应用实验，说明了该方法的可行性和有效性。     

MOTION COMPENSATION FOR HIGH RESOLUTION AIRBORNE SAR WITH IMU & GPS

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