双星编队对空间非合作目标的仅测角跟踪方法

针对单星仅测角对目标跟踪误差较大和不良测量条件下跟踪精度下降的问题,提出利用编队卫星对非合作目标进行联合跟踪的方法。采用考虑地球非球形J2引力摄动的轨道动力学模型,建立多视线测量模型,融合编队卫星对目标的观测数据。然后,基于新息设计增益调节矩阵提高滤波器在测量故障条件下的鲁棒性。最后,建立仿真模型进行验证。仿真结果表明,相比单星跟踪,该方法的位置误差和速度误差分别减少了27.06%和26.96%。在系统存在异常量测时,相比常规滤波,该方法也具有更高的精确性和更好的鲁棒性。     

雷达低空目标俯仰角跟踪的C2算法研究

在单脉冲测角体制下,由于多径回波信号的干扰,极大地降低了雷达低空目标仰俯角跟踪精度,甚至丢失目标。通过对多路径反射环境模型分析,得出了岸、海基单脉冲雷达低空目标跟踪时仰俯角测量误差的产生原因,提出将传统的多目标分辨算法(C2算法)应用于低角多径环境下目标俯仰角的跟踪测量,并在不同多径反射环境下对不同高度、不同飞行速度和飞行方向的目标进行了仿真,得到良好的仿真结果,表明该算法可较大地提高俯仰角跟踪测量精度。通过对仿真结果的分析,验证了该算法在低空目标跟踪中的有效性和可行性。     

Comments on “Discrete-time observability and estimabilityanalysis for bearings-only target motion analysis”

Discusses the extensive mathematical analysis carried out by the authors of the original paper [see ibid., vol. 33, no. 1, p. 178-201, 1997] and submits the following points. The authors used pseudo measurements for recasting the observability problem into a linear framework. They treated the bearings-only passive target tracking system as a deterministic system. It is already established that for deterministic systems, the pseudo measurements are linear functions of the states of the system, though the coefficient matrix is a nonlinear function of the original measurements, By using the pseudo measurements in a linear observer, global stability can be shown. However, if the pseudo measurement observer, for which the analysis is mostly carried out by the authors, is used in a noisy environment as a pseudo measurement filter (PMF), biased estimates are arrived at. Hence, though the approach of authors is quite direct and provides insights about the algebraic structure of the BOT problem, as pseudo measurements are used throughout the analysis is not of much use to the TMA community, as the nonlinear measurement equation along with measurement noise are required to be considered in the BOT problem to obtain unbiased results     

Optimization of observer trajectories for bearings-only targetlocalization

The problem of bearings-only target localization is to estimate the location of a fixed target from a sequence of noisy bearing measurements. Although, in theory, this process is observable even without an observer maneuver, estimation performance (i.e., accuracy, stability and convergence rate) can be greatly enhanced by properly exploiting observer motion to increase observability. This work addresses the optimization of observer trajectories for bearings-only fixed-target localization. The approach presented herein is based on maximizing the determinant of the Fisher information matrix (FIM), subject to state constraints imposed on the observer trajectory (e.g., by the target defense system). Direct optimal control numerical schemes, including the recently introduced differential inclusion (DI) method, are used to solve the resulting optimal control problem. Computer simulations, utilizing the familiar Stansfield and maximum likelihood (ML) estimators, demonstrate the enhancement to target position estimability using the optimal observer trajectories     

Data fusion and tracking using HMMs in a distributed sensor network

This work deals with the problem of multiple target tracking, from the measurements made on a field of passive sonars activated by an active sonar (multistatic network). The difficulties encountered then are of two kinds: each sensor alone does not provide full observability of a target, and multiple, possibly maneuvering targets moving in a cluttered environment must be dealt with. The algorithm presented here is based on a discrete Markovian modelization of the targets evolution in time. It starts with a fusion of the detections obtained at each measurement time. Tracking and target motion analysis (TMA) are next achieved thanks to dynamic programming (DP). This approach leads to multiple and maneuvering target tracking, with few assumptions; for instance, the use of deterministic target state models are avoided. Simulation results are presented and discussed.     

Discrete-time observability and estimability analysis for bearings-only target motion analysis

Observability in the context of bearings-only tracking (BOT) is still the subject of important literature. Different from previous approaches, where continuous-time analysis was considered, our approach relies on discrete-time analysis. It is then shown that this allows us to use directly and efficiently the simple formalisms of linear algebra. Using the direct approach, observability analysis is essentially reduced to basic considerations about subspace dimensions. Even if this approach is conceptually quite direct, it becomes more and more complex as the source-encounter scenario complexity increases. For complex scenarios, the dual approach may present some advantages essentially due to the direct use of multilinear algebra. New results about BOT observability for maneuvering sources are thus obtained. Observability analysis is then extended to unknown instants of source velocity changes. Even if observability analysis provides thorough insights about the algebraic structure of the BOT problem, the optimization of the observer maneuvers is essentially a control problem. Basic algebraic considerations prove that a relevant cost functional for this control problem is the determinant of the Fisher information matrix (FIM). So, a large part of this work is devoted to the analysis of this cost functional. Using multilinear algebra, general approximations of this functional are given. In order to involve only directly estimable parameters, the source bearing-rates are examined. Using these approximations, a general framework for optimizing the observer trajectory is derived which allow us to approximate the optimal sequence of controls. It is worth stressing that our approach does not require the knowledge of the source trajectory parameters and is still valid for a maneuvering source.     

Optimal observer maneuver for bearings-only tracking

In bearings-only tracking, observer maneuver is critical to ensure observability and to obtain an accurate target localization. Here, optimal control theory is applied to the determination of the course of a constant speed observer that minimizes an accuracy criterion deduced from the Fisher information matrix (FIM). Necessary conditions for optimal maneuver (Euler equations) are established and resolved, partly by analytical means and partly by an iterative numerical procedure. Examples of optimal observer maneuvers are presented and discussed     

基于可观测度分析的稳定姿态滤波器

提出一种适用于惯性/天文组合航天飞行器的稳定姿态滤波器,可以在不降低系统可观测度的前提下解决滤波计算中的奇异问题。对于奇异问题的传统解决方案是删除观测方程的一行,通过对比删除前后系统可观测度的变化,证明此解决方案会导致系统可观测度下降,并指出如何选择最优删除方案以使系统可观测度下降最小。根据对传统解决方案的分析结果,提出了不降低系统可观测度的投影算法。理论分析和仿真试验证明,应用了投影算法的姿态滤波器更为稳定,估计效率更高。     

对卫星目标的仅测角天基单站无源定位可观测性分析

可观测性分析是无源定位与跟踪系统的前提和基础。由于卫星运动系统方程是状态变量的隐函数形式,以及观测方程的非线性,使得对卫星目标仅测角无源定位的可观测性研究难度较大。鉴于此,从伪线性化角度对非线性系统方程进行改造,推导了关于状态变量的显性系统状态方程,对仅测角条件下的单星对星无源定位系统进行了可观测性分析,为进一步研究仅测角单星对星的无源定轨跟踪提供了理论基础。最后给出了仿真实例,验证了理论分析的正确性。     

高空台飞行环境模拟腔μ综合控制设计

针对航空发动机在高空台(AGTF)试验中高空飞行环境模拟腔(FESV)控制问题以及建模过程中产生的未建模动态不确定性问题,提出了一种μ综合控制结构方案,同时对于截止频率相差近几百倍的温度回路和压力回路的大差异特性,提出了采用同一加权灵敏度函数的处理方法,获得了模拟腔控制的期望效果;采用D K迭代算法设计了μ综合控制器,为解决因系统矩阵不满秩带来的温度、压力同时控制的问题提供了一种设计方法和思路,不同的飞行轨迹仿真验证结果表明:μ综合控制器对于飞行环境模拟腔温度和压力的控制效果一致性良好,动态误差不大于09%,稳态误差不大于05%,因此设计的μ综合控制系统具有伺服跟踪性能和鲁棒性能。      

Constant-speed target tracking via bearings-only measurements

The observability properties of the constant-speed target tracking problem via bearings-only measurements are investigated. It is shown that there exists a one-dimensional unobservable foliation which is computed. Explicit formulas are given to recover the observable part. It is shown that the direction of target trajectory is observable and that the whole state is observable if either the norm of the velocity or the distance is also known. A nonlinear observer which has a parallel structure and tolerates faults on distance measurements is presented. Finite-dimensional filters for the approximating models in the case of noisy measurements are given on the basis of output function polynomial approximations     

一种基于三维到达角的无偏伪线性卡尔曼滤波

为了解决大场景下基于三维到达角的目标跟踪问题，提出了一种具有无偏性的伪线性卡尔曼滤波。首先，基于三维到达角信息对目标运动模型与量测模型进行建模；之后，对量测模型进行了伪线性化处理，得到了线性形式的目标量测模型。为了解决伪线性卡尔曼滤波存在的有偏性问题，提出了一种结合EKF（extend Kalman filter）的三维伪线性无偏卡尔曼滤波。仿真实验表明，该模型能够对非机动目标与机动目标有效跟踪，对于百公里级别的目标，当角测量误差从0.1°变化到0.5°，算法在仿真时间结束时均能将绝对位置误差降低至10 km以内，且算法的运行速度与EKF为同一个量级，同时兼顾了抗干扰能力、定位跟踪精度、运行效率的要求，能够为大场景下的目标跟踪提供有效方法。     

单天基平台测向的空间非合作目标跟踪

针对仅含角度测量信息的单个天基平台可观测性较弱的问题,提出了一种含脉冲机动检测的空间非合作目标跟踪算法,并设计了非合作目标实时跟踪数据处理流程.该算法利用抗差估计技术和UKF（Unscented Kalman Filter,无迹卡尔曼滤波）算法构造目标跟踪滤波器,并综合残差多项式拟合和新息分布特征等方法实现目标机动检测,在天基平台观测信息类型有限和观测几何较差的情况下,可以同时排除孤立野值和成片测量野值的影响,实现非合作机动目标的连续稳定跟踪.数值实验验证了算法的可行性和有效性,也表明了跟踪精度和可靠性与测量精度密切相关.     

一种基于颜色和边缘特征的Mean Shift目标跟踪算法

针对基于颜色特征的Mean Shift算法对动态变化环境适应能力差,容易丢失跟踪目标的问题,提出了一种颜色和边缘特征相结合的Mean Shift目标跟踪算法。该算法使用核直方图概率模型描述目标,通过权值的自适应变化来评估每个特征在跟踪场景中的可靠性,并依据权值提出一种选择性模板更新方法。实验结果表明,提出的算法不仅可以克服目标在跟踪过程中发生的模板变形,而且对目标的平移旋转以及光照变化都具有较好的鲁棒性。     

Effect of bias on bearing-only target location

The influence of angle measurement bias on passive target location estimation is investigated. First the conditions for target observability are found and generalized to the non-zero-mean measurement noise case. Then the Cramer-Rao lower bound on the estimation error is derived. Numerical examples are included, illustrating the target location uncertainty in the presence of measurement bias     

空间目标的空基红外测量技术

地基红外测量系统由于受大气衰减和天空背景的影响,对空间目标的探测能力有限。针对此问题,提出了采用空基红外测量系统实现空间目标红外特性测量的设想,通过从决定红外测量系统探测能力的信噪比和调制对比度2个方面出发,推导出了红外测量系统作用距离公式。并利用大气传输软件计算了长波红外在不同高度下的大气透过率、天空背景,理论分析给出了不同高度的空基红外测量系统对不同辐射面积空间目标的探测距离。仿真结果表明,当空基平台高度大于10km时,长波红外不仅可以观测到光照区内的低轨空间目标,而且还可以观测到阴影区内辐射面积不小于40m~2的低轨空间目标。     

Mixture Reduction Algorithms for Point and Extended Object Tracking in Clutter

The Bayesian solution to the problem of tracking a target with measurement association uncertainty gives rise to mixture distributions, which are composed of an ever increasing number of components. To produce a practical tracking filter, the growth of components must be controlled by approximating the mixture distribution. Two mixture reduction schemes (a joining algorithm and a clustering algorithm) have been derived for this purpose. If significant well spaced mixture components are present, these techniques can provide a useful improvement over the probabilistic data association filter (PDAF) approach, which reduces the mixture to a single Gaussian component at each time step. For the standard problem of tracking a point target in uniform random clutter, a Monte Carlo simulation study has been employed to identify the region of the problem parameter space where significant performance improvement is obtained over the PDAF. In the second part of this paper, the formal Bayesian filter is derived for an extended target consisting of an array of measurement sources with association uncertainty. A practical multiple hypothesis filter is implemented using mixture reduction and simulation results are presented.     

Three-dimensional target motion analysis using angle and frequency measurements

It is well known that passive target tracking by a single observer, commonly referred to as target motion analysis (TMA), can be done using angle and/or frequency measurements. Depending on the measurement set, different passive tracking procedures result: angle-only tracking (AOT), frequency-only tracking (FOT), and angle/frequency tracking (AFT). Whereas the two-dimensional passive tracking problem has been solved for a multitude of scenarios, thus giving a good insight into the parametric dependences, the three-dimensional problem has been discussed only in a few specific cases. To get a deeper insight into the parametric dependences of three-dimensional TMA, this work analyzes AOT and AFT in typical three-dimensional Airborne Warning and Control System (AWACS) scenarios. A Cramer Rao (CR) analysis of the problem reveals the parametric dependences of both methods and gives a clear idea of the increase in estimation accuracy by using AFT instead of AOT. The results obtained in this way are well confirmed by Monte Carlo simulations taking maximum likelihood (ML) as estimation procedure.     

基于DP-SA的机载外辐射源无源协同定位

针对强杂波背景下机载外辐射源无源协同定位（APCL）问题,提出一种基于动态规划和状态扩维（DP-SA）的单目标无源协同定位方法。首先,基于误差传播理论,构建了考虑外辐射源位置不确定性的状态转移范围,进而建立动态规划（DP）的值函数。其次,推导了基于极值理论的动态规划回溯阈值,提高了低可观测目标的检测概率。最后,对测量新息协方差进行在线修正,降低了外辐射源位置不确定性的影响,并利用状态扩维技术实现目标状态与外辐射源状态的联合估计。仿真验证了所提方法的有效性。