样条节点优化方法及其在弹道表示中的应用

精确的主动段弹道表示模型是高精度弹道参数估计算法的关键。针对等距节点样条模型表示主动段弹道截断误差过大问题,引入一种基于残差的自适应样条节点优化方法,用自由节点样条表示主动段弹道,并根据假设检验理论给出算法中的阈值确定方法。仿真结果表明,经该方法进行节点优化后的样条模型,不但能有效控制模型误差,当检验水平较高时,还能初步识别导弹主动段特征点。     

基于样条拟合和双向滤波的助推段弹道估计

三次B样条拟合在助推段弹道估计中应用广泛,但存在弹道两端点邻域估计误差过大的问题.通过对B样条基函数矩阵的特性进行分析,发现其原因为端点邻域估计时能利用的有效观测数据最少.因此,提出一种基于样条拟合和双向滤波相结合的弹道估计策略：首先将双星观测数据利用无迹变换转换为等效位置观测;然后利用三次B样条拟合弹道;最后基于一种自适应卡尔曼滤波器,采用双向滤波策略改善样条拟合的端点估计精度.仿真结果表明：组合方法使样条拟合的端点估计误差减少40％,同时使估计弹道更平滑.此结果满足实时性要求.     

基于最优样条节点的导弹主动段弹道估计方法

拟合导弹主动段弹道并估计其弹道参数是天基红外系统(SBIRS)的重要任务之一。首先采用三次样条函数对导弹主动段弹道进行描述,并建立主动段弹道的运动模型和测量模型;其次采用最大似然估计方法将导弹弹道估计问题转化为非线性最小二乘准则下的样条系数和样条节点分布最优估计问题;最后利用投影定理将样条系数估计和样条节点分布估计分离开来,并通过迭代逼近给出了最优样条节点数的确定方法。仿真实验结果表明,所提方法不仅对主动段弹道的拟合精度高,而且还减少了待估参数的数目,简化了求解过程,可在无先验信息条件下较好地解决导弹主动段弹道的估计问题。     

嫦娥三号动力落月段轨迹确定策略

针对CE-3（嫦娥三号）月球探测器动力下降弧段,特别是悬停避障段频繁机动的特点,提出了采用B样条函数逼近方法进行落月轨迹确定.仿真分析表明：在动力下降运动较平滑弧段,B样条逼近法计算结果略优于多项式拟合法;而在频繁机动弧段,B样条逼近法有明显优势.计算结果表明,加入VLBI（Very Long Baseline Interferometry,甚长基线干涉测量）数据后能有效提高落月轨迹确定精度,在没有系统误差的情况下联合定位后位置精度优于50 m.此外,还分析了三向测量系统差对定位的影响,可对CE 3任务提供参考.最后对CE 3实测数据进行处理,动力落月段末点位置和着陆器定位计算值相差不到200 m.     

Space-based tactical ballistic missile launch parameter estimation

The author explores the influence of a priori uncertainties in launch time and trajectory fly-out profiles, along with sensor angle measurement errors, on the estimation of missile launch location and heading angle. An error model is developed to compute the statistics of the estimation errors using a single pair of angle measurements, one from each of two satellites, or both from the same satellite platform. The measurements and estimation methods are described, followed by a derivation of the estimation errors for the hypothetical case of perfect knowledge of trajectory and launch time. Using the ideal case as a framework, the errors are generalized to include trajectory and launch time uncertainties. The results are discussed with the aid of graphics which were run parametrically to highlight important dependencies and sensitivities     

外弹道容错样条微分技术研究及应用

外测系统中传统的正交多项式微分方法和自然样条微分方法容错能力弱,无法避免截断误差、消除异常数据的影响,并且求得的微分结果对随机误差敏感。为了解决这些问题,提出容错样条微分技术,融合了自然样条微分算法与正交多项式中心平滑的优点,不仅增强了算法的容错性能、降低了结果对随机误差的敏感性,并且减小了截断误差。通过仿真试验,验证了该算法的实用性和有效性,为试验任务提供了高精度的弹道参数结果。     

基于雷达航迹的航空器质量估算

为保障基于轨迹运行的顺利实施,必须提高四维航迹预测的精度,而四维航迹的精准预测依赖于航空器质量准确估算。鉴于此,构建并分析了航空器能量模型;基于雷达航迹与航空器基础资料( BADA),提出了新型的航空器质量估算方法与步骤;利用最小二乘算法求解了航空器质量的估计值;分别基于预测航迹、雷达轨迹与QAR数据,采用相对误差作为评价指标,实施验证与分析。验证结果表明,提出的方法可将航空器质量估算误差控制在5%以内,从而能够有效地提高航迹预测精度。     

基于超短基线声传感器阵的高速目标轨迹估计

针对低空高速飞行目标跟踪问题，首先研究了某典型目标噪声信号的时频特性，发现其信号呈现宽带低频特征，难以从频域对目标轨迹进行估计。在此基础上，从各路接收信号的到达时延量入手，考虑到声基阵只能布设于有限空间内的制约，提出了一种基于超短基线阵时延估计的目标跟踪方法。该方法利用各个超短基线阵接收声强极值点分别估计目标运动轨迹垂线方向，计算多个垂线的叉乘向量实现对目标运动方向的估计，再利用多面交汇的方式获估计得到目标运动轨迹。分别对目标俯仰角、方位角及运动轨迹估计的理论误差进行了推导，根据理论估计误差，为能够实现对目标运动轨迹的估计，各个超短基线阵应尽量保证与目标运动轨迹不在同一平面上。根据仿真结果，在采用4个传感器基阵时，角度估计平均误差在4°以内，位置估计相对误差在5%左右。仿真结果验证了该方法的有效性。     

In-Flight Alignment and Calibration of Inertial Measurement Units?Part II: Experimental Results

This is the second part of a two-part paper which summarizes work pursued by the author in 1967 [2]. The paper describes the application of minimum-variance estimation techniques for in-flight alignment and calibration of an inertial measurement unit (IMU) relative to another IMU and/or some other reference. The first paper [1] formulates the problem, and this paper reports numerical results and analyses. The approach taken is to cast the problem into the framework of Kalman-Bucy estimation theory, where velocity and position differences between the two IMU's are used as observations and the IMU parameters of interest become part of the state vector. Instrument quantization and computer roundoff errors are considered as measurement noise, and environmental induced random accelerations are considered as state noise. In this paper, numerical results for three important IMU error parameter configurations are presented and discussed. The main results of the paper determine the effects of state and observation noise levels and the nominal trajectory on the identifications of the errors for these configurations. A discussion of the minimum number of trajectory maneuvers and of the optimal trajectory maneuvering is given.     

海上移动测站精度估算方法研究

海上测量是在复杂的动态条件下进行的,测量船外测数据中融入了更多影响数据精度的因素,数据测量结果非常复杂。本文在系统分析测量船误差影响因素的基础上,建立了航天测量船外测数据精度估算模型,据此分析研究了影响测量船外测精度的主要误差因素,并针对主要误差源提出了进一步提高船载设备精度的途径。     

Trajectory prediction in pipeline form for intercepting hypersonic gliding vehicles based on LSTM

The interception problem of Hypersonic Gliding Vehicles (HGVs) has been an important aspect of missile defense systems. In order to provide interceptors with accurate information of target trajectory, a model based on an improved Long Short-Time Memory (LSTM) network for trajectory prediction pipeline is proposed for the interception of a skip gliding hypersonic target. Firstly, for trajectory prediction required by intercepting guidance laws, the altitude, velocity and velocity direction of the target are formulated in the form of analytic functions, consisting of linear decay terms and amplitude decay sinusoidal terms. Then, the dynamic characteristics of the model parameters are analyzed, and the target trajectory prediction pipeline is proposed with the prediction error considered. Finally, an improved LSTM network is designed to estimate parameters in a dynamically-updated manner, and estimation results are used for the calculation of the final trajectory prediction pipeline. The proposed prediction algorithm provides information on the velocity vector for midcourse guidance with the effect of prediction errors on interception taken into account. Simulation is conducted and the results show the high accuracy of the algorithm in HGVs’ trajectory prediction which is conducive to increasing the interception success rate.     

具有通信约束的分布式SOR多智能体轨迹估计算法

针对传统多智能体轨迹估计算法信息交换量大，计算量随群规模指数增长，可扩展性差等诸多不足，提出了一种基于超松弛迭代（SOR）的分布式多智能体轨迹估计算法，通过将最大似然（ML）准则下的轨迹估计转化为两级线性优化问题，并综合利用分布式超松弛迭代（Distributed SOR）和标记初始化方法，加快求解速度并简化信息交换流程，最终实现了多智能体位姿轨迹优化和协作定位。实验表明，所提的分布式方法能达到集中式算法的精度水平，在49个智能体规模条件下，位置估计误差小于0.15 m，姿态估计误差小于0.03°，且数据交换量仅到现有主流分布式方法DDF-SAM的0.06%，能很好用于大规模集群的场景。     

一种非线性滤波器的误差分析及应用

针对一类具有未建模误差和扰动的非线性系统的状态估计问题,提出一种在线估计并补偿模型误差的非线性滤波算法,该算法利用非线性预测滤波(NPF)基于预测输出残差的方差最小的基本原则估计模型误差,冉利用扩展卡尔曼滤波(EKF)的思想对补偿后的模型进行状态估计;详细推导了状态估计误差及其方差阵的传播模型.以卫星姿态确定系统为例,...     

Analysis of Modeling and Bias Errors in Discrete-Time State Estimation

This paper concerns the effects of modeling and bias errors in discrete-time state estimation. The newly derived algorithms include the effect of correlation between plant and measurement noise in the system. The effects of nonzero mean noise terms and bias errors are considered. With plant or measurement matrix errors, divergence can occur. The local or linear sensitivity approach to error analysis, where the sensitivity is defined as a partial derivative with respect to a variable parameter taken about the modeled value, will not show this divergence due to neglect of higher order terms. Approximate algorithms are presented which circumvent the problem inherent in the local sensitivity approach. These make use of a "conditional bias" concept which views system error as a bias, conditioned on knowledge of the state estimates. It is shown that the actual error in optimum estimation is orthogonal to the residue error for suboptimum estimation where the residue error is defined as the difference between the actual estimation error and the optimum estimation error. Two examples, one concerning an integrated navigation system, demonstrate the theoretical results.     

Estimation Using Stochastic Feedback with Applications to Integrated Navigation Systems

This paper discusses an approach to linear estimation through use of a "control" fed back into the system to cancel out the effect of disturbances or error signals. Although this approach has very restricted application, it has found important usage in integrated navigation systems where one subsystem is an inertial measurement system. This approach is shown to be suboptimal and is compared with the optimal with respect to estimation accuracy and sensitivity to modeling errors. The feedback approach to estimation is shown to be similar to error estimation and correction in which the error states of the system are estimated and external correction applied. For discrete estimation using the feedback approach it is shown that error variance and Kalman gains for one-stage prediction should be used. Two examples are considered which compare the feedback approach to the optimum estimation approach. The system of the first example is quite simple, but provides simple analytical comparisons of the two estimation approaches. The second example system consists of a single-axis inertial guidance system and an independent position measuring system. Accuracy and sensitivity to modeling errors are compared. Other advantages and disadvantages of the two estimation approaches are discussed.     

打磨机操作臂的轨迹规划与仿真

提出了笛卡尔空间大步距插值与关节空间改进的三次样条小步距插值相结合的方法,对打磨机进行了轨迹规划。利用关节空间改进的三次样条插值,消除了启动和停止时的加速度突变。并且通过SimMechanics工具箱建立模型,验证了轨迹规划方法的正确性和有效性,为操作臂的伺服控制提供理论基础。     

一种联合估计的有源校正高精度测向算法

针对存在系统误差的阵列模型,提出了一种有源标校下的联合估计测向算法。该算法把误差矩阵估计转化为误差系数估计,并采用到达角精确已知的源信号进行标校,在此基础上使用最小二乘法联合估计幅相不一致误差系数和互耦误差系数,最后使用结合误差矩阵的MUSIC算法测量信号的到达角。仿真表明,该算法仅需要3个标校源,其精度相比于无阵列误差情况下降0.05°,具有较好的工程可实现性。     

基于误差估计的伴随网格自适应方法

网格自适应是一种有效减少解与网格相关性,改善计算结果的重要途径。给出了一种基于误差估计的伴随网格自适应计算技术,定义了基于误差估计的自适应准则,给出了非结构四面体网格单元细化剖分规则,以及一般的网格自适应流程,介绍了一种基于Rechardson外推的网格收敛技术,运用本文提供的方法对NLR7301翼型进行了数值计算研究,数值试验表明给出的网格自适应具有较高的可有效改善计算结果。     

ADS-B用于高精度雷达标定的方法

为了更好地解决高精度雷达标定的问题,提出了基于广播式自动相关监视系统(ADS-B)固定误差及目标回波中心动态修正的雷达标定新方法。首先分析了ADS-B位置数据误差的来源、类型及在雷达坐标系下的特征,同时对民航目标回波中心的变化作了分析建模,在此基础上进一步通过对雷达数据与ADS-B数据之差作动态联合修正,最终估算出雷达系统误差,提高了雷达系统误差标定的精度和稳定性。并利用多批次的实测数据对该标定新方法与其他方法进行了对比验证,结果表明,该方法有效提高了标定的精度和稳定性,并已成功应用于雷达标定设备中。     

Three-dimensional trajectory estimation from image position and velocity

A recursive algorithm for estimating the three-dimensional trajectory and structure of a moving rigid object in an image sequence has been previously developed by Broida, Chandrashekhar, and Chellappa [1990]. Since then, steady advances have occurred in the calculation of optical flow. This work improves 3D motion trajectory and structure estimation by incorporating optical flow into the estimation framework. The new solution combines optical flow and feature point measurements and determines their statistical relationship. The feasibility of a hybrid feature point/optical flow algorithm, demonstrated through detailed simulation on synthetic and real image sequences, significantly lowers bias and mean squared error in trajectory estimation over the feature-based approach.