Theoretical Bounds on Random Errors in Satellite Doppler Navigation

Analytic expressions of the random errors in a satellite Doppler navigation system are developed. The errors in the along-track and across-track coordinates are expressed as functions of the geometry (range and angle), pass-length, and signal-to-noise ratio (SNR). Such an analytic result becomes possible due to an explicit solution to a simplified rectilinear model of the satellite pass over a flat Earth. It is shown that the explicit solution performance in the presence of noise is identical to that of the iterative solution, used in the real navigation problem.     

Analysis of generalized guidance laws for homing missiles

It is shown that the optimal guidance problem can be handled as a Bolza-type problem which can be solved by straightforward calculation. The solution proves to be different from that given by Yang, et al. (1989) and is verified to be a minimum performance index solution. Also presented is an alternate unified approach to the solution of the nonlinear system of differential equation of the generalized proportional navigation law discussed earlier by Yang, et al. This unified equation has been solved for all the different cases of proportional navigation for which closed-form solutions have been published by earlier authors     

导航星座自主导航技术--自主星历更新

自主星历更新是导航星座自主导航的关键技术之一,包括卫星轨道精密确定和轨道短时预报两个方面的内容。本文在系统地论述导航星座自主导航的信息处理流程的基础上,重点提出星座卫星轨道精密确定的自适应Kalman滤波算法。系统仿真结果表明：通过星间双向测量数据的滤波处理,能够获得高精度的卫星星历和较小的用户测距误差（URE）,满足高精度导航定位需求,初步证明导航星座自主导航信息处理流程及其星历更新算法的合理性和可行性。     

JTIDS relative navigation and data registration

The Joint Tactical Information Distribution System (JTIDS), an integrated communication, navigation, and identification system, provides a solution to the critical data registration problem facing the joint US military services today, namely, the establishment, in real-time, of accurately correlated positions and tracks for all friendly, unknown, and hostile targets in an operational area, thus providing the total situation awareness required for tactical and C² operations. The fundamental relationships of JTIDS navigation and the error analysis for target registration and target hand-off in both geodetic and relative grid coordinates are presented. Simulation results are provided for two scenarios to demonstrate the level of improvement that JTIDS navigation can have on situation awareness, target acquisition, and weapon delivery. Specifically, it is shown that accurate data registration can be achieved by as few as two JTIDS members, with or without accurate knowledge of geodetic position     

Precision Synchronization of Satellites in Inclined Orbits

Synchronization between an Earth station and a satellite in geostationary orbit can be accomplished by repeatedly transmitting sync burst signals and making small timing corrections. However, when a satellite is in an inclined nonsynchronous orbit, such as a navigation satellite, the problem is more complex due to the high relative velocity of the navigation satellite relative to the ground. One possible solution to the problem is examined by employing a satellite in geostationary orbit to communicate with the navigation satellite. It is shown that the uplink delay to the navigation satellite can be deduced to an accuracy of about 1 ns by making a single round trip transmission.     

星座自主导航可视化仿真与分析系统的研制

近年来,星座自主导航技术在卫星自主导航领域越来越引起人们的关注。为更好地研究星座自主导航方法,本文从数据分析、视景仿真和导航解算三个方面论述了星座自主导航视景仿真系统的实现过程。该仿真系统采用ADO技术、OpenGL技术和MATCOM软件来分别实现数据分析模块、视景仿真模块和星座自主导航解算。实验结果表明,软件最终达到了集数据分析、视景仿真和导航解算于一体的仿真效果。     

基于地月三角平动点的卫星自主定轨

近年提出了利用地月系平动点建立深空导航星座的设想。在受太阳摄动的真实力模型下,地月系平动点是不稳定的,从而会导致导航星座必须通过控制才能定点在特定区域。针对此问题,引入一种特殊的平动点轨道,即动力学替代轨道。平动点轨道卫星星座可利用星间测距数据自主定轨,由于动力学替代轨道具有长期稳定性,整个自主定轨过程不需要来自地面的测控支持,且定轨精度可达到观测精度。研究结果表明,观测资料的长短、导航卫星垂直白道面的运动分量都将影响到导航星间的自主定轨精度。该研究成果可以应用在以后的地月系导航星座中。     

Application of nonlinear filtering to navigation system designusing passive sensors

The problem of navigation system design for autonomous aircraft landing is addressed. New nonlinear filter structures are introduced to estimate the position and velocity of an aircraft with respect to a possibly moving landing site, such as a naval vessel, based on measurements provided by airborne vision and inertial sensors. By exploring the geometry of the navigation problem, the navigation filter dynamics are cast in the framework of linear parametrically varying systems (LPVs). Using this set-up, filter performance and stability are studied in an H_∞ setting by resorting to the theory of linear matrix inequalities (LMIs). The design of nonlinear, regionally stable filters to meet adequate H_∞ performance measures is thus converted into that of determining the feasibility of a related set of LMIs and finding a solution to them, if it exists. This is done by using-widely available numerical tools that borrow from convex optimization techniques. The mathematical framework that is required for integrated vision/inertial navigation system design is developed and a design example for an air vehicle landing on an aircraft carrier is detailed     

基于步进式运动模型的单兵协同导航算法设计

基于足部微惯性测量单元(MIMU)和超宽带测距的协同导航技术是一种解决卫星信号受限环境下单兵自主导航难题的有效途径。根据零速修正辅助的惯性解算特点,建立了一种单兵协同导航模型,协同导航状态为各单兵的位置和航向,系统输入为足部MIMU提供的每步位移和航向增量。将算法与相关文献中提出的两种算法进行了对比分析,该算法的优点是无需对足部惯导模块做任何改动和进行反馈修正,易于工程实现且不损失精度。通过三人协同导航试验分析了算法的性能,数据分析表明协同导航在不同条件下可以不同程度地改善系统的定位性能。     

综合导航系统信息融合模拟仿真平台设计CSCD

为解决综导系统的信息融合问题,设计了一种新型的综导系统信息融合模拟仿真研究平台。平台包括综导信息融合模拟评估导调台、惯性类导航设备模拟器、非惯性类导航设备模拟器、综合导航模拟器、电子海图系统和数据分析服务器六大模块。导调台采取一种新的船舶运动参数发生器模拟生成多种海况条件下船舶运动参数;综合导航模拟器采取多种融合算法并行运行方式,以方便比较不同算法的性能;数据分析服务器采用高性能计算机模拟公共计算环境,可研究适应未来船舶软硬件计算资源的信息融合方法。系统测试表明,基于平台的导航信息融合流程和效果满足要求,所设计的平台系统功能正常,可直接用于舰船信息融合算法的设计、分析、测试评估等工程研发工作。     

双视线测量相对导航方法误差分析与编队设计

空间非合作目标的相对导航是在轨维护和近距离监视任务中的关键技术,目前的研究表明仅有视线测量条件下中距离相对导航沿距离方向的观测度较差,而基于双视线测量的相对导航方法可以有效解决该问题。为此,研究了两个追踪航天器所组成的编队,在双视线测量条件下进行自主相对导航的方法。首先,详细地介绍了双视线测量相对导航方案的构成以及具体的导航算法;其次,根据两个追踪航天器与目标航天器的几何构型,推导双视线测量方法中的误差传递规律,并分析其中的影响因素;然后,对两个追踪航天器的编队构型进行设计,并分析编队构型对该方法导航性能的影响;最后,通过数值仿真对上述相关的结论进行验证。     

Application of the Conjugate Gradient Method to a Problem on Minimum Time Orbit Transfer

This correspondence considers the problem of optimally controlling the thrust steering angle of an ion-propelled spaceship so as to effect a minimum time coplanar orbit transfer from the mean orbital distance of Earth to mean Martian and Venusian orbital distances. This problem has been modelled as a free terminal time-optimal control problem with unbounded control variable and with state variable equality constraints at the final time. The problem has been solved by the penalty function approach, using the conjugate gradient algorithm. In general, the optimal solution shows a significant departure from earlier work. In particular, the optimal control in the case of Earth-Mars orbit transfer, during the initial phase of the spaceship's flight, is found to be negative, resulting in the motion of the spaceship within the Earth's orbit for a significant fraction of the total optimized orbit transfer time. Such a feature exhibited by the optimal solution has not been reported at all by earlier investigators of this problem.     

Accurate solution of proportional navigation for maneuveringtargets

An accurate solution is presented of the nonlinear differential equations describing motion under proportional navigation when the target is laterally maneuvering. A quasilinearization (QL) approach is used, followed by a perturbation technique to obtain closed-form solutions for trajectory parameters. An explicit expression for the pursuer lateral acceleration is derived and shown to contain contributions due to initial heading error and target maneuver, with a coupling between the two effects. The solution is shown to be a substantial and consistent generalization or an earlier accurate solution for nonmaneuvering targets and also of classical linear solutions for maneuvering targets. The generalized QL solution presented provides very accurate estimates of pursuer lateral acceleration over a much broader range of engagement geometries and target maneuvers than presently available closed-form solutions     

Enhanced space integrated GPS/INS (SIGI)

Safe, reliable, and low cost space-based navigation is being provided with embedded INS/GPS systems such as the space integrated GPS/INS (SIGI). The SIGI is being used for various space vehicle applications such as launch vehicles, orbital vehicles, and re-entry vehicles. This paper describes current space vehicle navigation capabilities. The SIGI is being enhanced to provide additions to these existing capabilities with such items as higher processing and a commercial-off-the-shelf operating system. This will allow hosting of various software applications such as advanced navigation functions, flight control, guidance and vehicle management algorithms. The SIGI can host redundancy management functions by incorporating a cross channel data link card (CCDL) using a high speed firewire bus. The SIGI can then be used as a redundancy management platform which has application to current space vehicle avionics topologies incorporating distributed processing architectures     

Autonomous airborne navigation in unknown terrain environments

We address the issue of autonomous navigation, that is, the ability for a navigation system to provide information about the states of a vehicle without the need for a priori infrastructure such as GPS, beacons, or a map. The algorithm is known as simultaneous localisation and mapping (SLAM) and it is a terrain aided navigation system (TANS) which has the capability for online map building, and simultaneously utilising the generated map to bound the errors in the navigation solution. Since the algorithm does not require any a priori terrain information or initial knowledge of the vehicle location, it presents a powerful navigation augmentation system or more importantly, it can be implemented as an independent navigation system. Results are first provided using computer simulation which analyses the effect of the spatial density of landmarks as well as the quality of observation and inertial navigation data, and then finally the real time implementation of the algorithm on an unmanned aerial vehicle (UAV).     

A Closed-Form Solution for Doppler Satellite Navigation

Doppler satellite navigation relies on an initial position estimate with an iterative solution. A closed-form solution of this problem, which forms the basis of a complete analytic treatment, is presented. The solution is exact for arbitrary satellite orbits with an ellipsoid Earth model.     

Finite-dimensional filters with nonlinear drift. V: solution to Kolmogorov equation arising from linear filtering with non-Gaussian initial condition

Despite its usefulness, the Kalman-Bucy filter is not perfect. One of its weaknesses is that it needs a Gaussian assumption on the initial data. Recently Yau and Yau introduced a new direct method to solve the estimation problem for linear filtering with non-Gaussian initial data. They factored the problem into two parts: (1) the on-line solution of a finite system of ordinary differential equations (ODEs), and (2) the off-line calculation of the Kolmogorov equation. Here we derive an explicit closed-form solution of the Kolmogorov equation. We also give some properties and conduct a numerical study of the solution.     

飞行数据处理的非线性鲁棒滤波技术

研究了飞机飞行试验数据处理中的非线性鲁棒滤波技术,分析给出了实际飞行条件了一种飞机运动的新模型,它是含不确定参数项的非线性模型,同时给出了该不确定参数项的解析的表达形式,然后研究了对应于此类非线不确定系统的鲁棒滤波算法,得到了该滤波问题的充分解,并对该解进行扩展线性化处理,得么了一个较易实现的扩展鲁棒滤波算法,最后利用该算法对实际的数据进行了处理,结果表明,所提出的算法是切实可行的。     

Grouping bi-chi-squared method for pulsar navigation experiment using observations of Rossi X-ray timing explorer

X-ray pulsar-based navigation is a revolutionary technology which is capable of providing the required navigation information in the solar system. Performing as an important pulsar-based navigation technique, the Significance Enhancement of Pulse-profile with Orbit-dynamics (SEPO) can estimate orbital elements by using the distortion of pulse profile. Based on the SEPO technique, we propose a grouping bi-chi-squared technique and adopt the observations of Rossi X-ray Timing Explorer (RXTE) to carry out experimental verification. The pulsar timing is refined to determine spin parameters of the Crab pulsar (PSR B0531+21) during the observation periods, and a short-term dynamic model for RXTE satellite is established by considering the effects of diverse perturbations. Experimental results suggest that the position and velocity errors are 16.3 km (3σ) and 13.3 m/s (3σ) with two adjacent observations split by one day (exposure time of 1.5 ks), outperforming those of the POLAR experiment whose results are 19.2 km (3σ) and 432 m/s (3σ). The approach provided is particularly applicable to the estimation of orbital elements via using high-flux observations.     

导航计算机测试软件的架构设计

为解决多种型号被测产品、在不同测试设备上的测试软件开发的问题，尽可能地缩短开发和调试时间，并确保软件的开发质量，提出了一种针对导航计算机测试这一特定领域，以提高扩展性和重用性为目标的软件架构。该架构提供了统一的测试软件设计和开发方法，规范了软件的实现过程，为测试软件的开发提供了一致性的解决方案。采用组件化的开发方法，将具有复用价值的内容封装为组件，为测试软件开发和运行提供了共享的基础平台；提供了开放式的体系结构，规定了内部的组织结构、组件类别与职责、接口规范、交互方式、组件开发方法，便于软件的扩展和修改。经过工程项目的验证，该架构满足在各种专用测试设备上、针对不同型号被测产品的测试软件快速、高质量开发的需要。