Pointing Error Statistics in Optical Beam Tracking

In tracking optical beams from a source, a pointing error signal is derived from photodetecting the field in the receiver focal plane. This error signal is then used in some manner to control a gimballed system that continually points the receiver optics toward the source. When the source field undergoes turbulent transmission, the optical beam is attenuated and scattered, and the field is randomly defocused at the receiver. In this case the pointing error of the tracking system will evolve as a random vector process in time, statistically related to the random scattering, the photodetection process, and the dynamics of the gimballing system. Such vector processes have probability densities that satisfy well-known differential equations. These equations are derived in terms of accepted scattering models and tracking systems, assuming quadranttype error detectors are used in the focal plane. Approximate solutions are obtained and analyzed for typical operating conditions, and the manner in which the degree of scattering degrades the entire pointing operation is shown.     

Experimental study in adaptive tracking control

The authors describe an experimental study of adaptive pointing and tracking control for flexible spacecraft conducted on a complex ground experiment facility. The algorithm used is based on a multivariable direct model reference adaptive control law. Several experimental validation studies performed using this algorithm for vibration damping and robust regulation are extended by addressing the pointing and tracking problem. As is consistent with an adaptive control framework, the plant is assumed to be poorly known to the extent that only system level knowledge of its dynamics is available. Explicit bounds on the steady-state pointing error are derived as functions of the adaptive controller design parameters. It is shown that good tracking performance can be achieved in an experimental setting by adjusting adaptive controller design weightings according to the guidelines indicated by the analytical expressions for the error     

Space Interferometry Mission spacecraft pointing error budgets

Preliminary error budgets for the pointing knowledge, control, and stability of the Space Interferometry Mission (SIM) spacecraft are constructed using the specifications of commercial off-the-shelf attitude determination sensors, attitude control actuators, and other spacecraft capabilities that have been demonstrated in past missions. Results obtained indicate that we can meet all the presently known spacecraft pointing requirements. A large number of derived requirements are generated from this study. Examples are specifications on attitude determination sensors, attitude control actuators, minimum settling time after a rest-to-rest spacecraft slew. Preliminary error budgets constructed in this study must be updated to reflect the changing spacecraft design and requirements     

定向通信系统天线波束指向误差分析

对影响定向通信系统天线波束指向误差的因素进行了分析,给出了一种特殊情形下波束指向误差与姿态角的关系式,同时给出了一般情形下基于最小二乘估计的波束指向误差与姿态角关系的推导方法.给出的关系式和方法对分析定向通信系统波束指向误差提供了理论依据,有助于评估定向通信系统的波束对准情况.     

Radar Target Pointing Error Reduction Using Extended Kalman Filtering

A new method of reducing target glint errors in radar systems is presented. The target is modeled as n reflectors whose magnitudes and phases are known. The reflector positions are described by a dynamical model driven by white Gaussian noise. The resulting vibrations of the target reflectors produce glintlike pointing errors in the radar system. An extended Kalman filter is developed to estimate the positions of the target reflectors; this information is used to substantially reduce the pointing error due to glint. Data illustrating this glint reduction is given. The model is extended by the inclusion of clutter effects modeled in the same fashion as the glint phenomenon. The results presented indicate the limits of usefulness of this technique as a function of both receiver noise and relative clutter amplitude.     

Further results on radar pointing error reduction using discreteextended Kalman filtering

A recently proposed method of reducing target glint errors in radar systems using extended Kalman filtering is further extended with the inclusion of and compensation for clutter effects. A discrete target model and discrete Kalman filter (DKF) are used. Simulation results demonstrating the DKF are presented, and the limits on the effectiveness of the method are investigated. The major advantage of the DKF is that it can be implemented in software in the digital processor of the radar, offering flexibility over continuous time filters. The ability of the filter to reduce clutter effects further demonstrates the usefulness of this technique for radar pointing error reduction     

Terminal Seeker Pointing-Angle Error at Target Acquisition

Missile terminal guidance seekers that employ optical, infrared, or radar sensors to acquire, lock-on, and track their target are subject to a missile-to-target line-of-sight pointing error during the acquisition phase. The error is due primarily to missile navigation errors (attitude and position) and inaccuracies in predicting the target location. The computational process to obtain the seeker-to-target pointing vector is formulated. Linear perturbation ion of the pointing vector yields the pointing-angle error tions.quaons. A simple quantitative example is given.     

Application of the Volterra Series to the Analysis and Design of an Angle Track Loop

A typical function of an angle tracking loop is to keep a radar antenna pointed at a target. The error in pointing is directly related to successful operation of the tracking device; therefore, its behavior is of interest. For a tracker with a general polynomial nonlinearity, an arbitrary initial pointing error, and a bounded deterministic input, a method is developed for finding upper bounds on the magnitude of the tracking error using Volterra series techniques. Convergence regions of the Volterra series are also obtained. Applications of these results are made to a second-order tracking device.     

正态分布百分位值和百分率的置信限和容忍限公式

建立了正态分布置信限曲线方程,给出了其百分位值和百分率的置信限公式和容忍限公式。该公式对完全数据、不完全数据和无失效数据均适用,并且可综合利用当前数据和经验数据。     

协同制导导引头最大指向角误差分析

在协同制导条件下,建立了导引头最大预定指向角误差模型,分析了各种因素对协同制导条件下导引头最大预定指向角误差的影响。结果表明,雷达测角误差和系统时延是影响协同制导中末交班导引头最大指向角误差的主要因素。     

Pointing Accuracy and Dynamic Range in a Steered Beam Adaptive Array

The performance of a steered beam adaptive array as a function of the beam pointing error is examined. The purpose is to determine how close the steered beam has to be to the actual desired signal arrival angle for good performance. It is shown that the beam pointing error that can be tolerated is essentially a question of dynamic range. The greater the desired signal dynamic range that must be accommodated by the array, the more accurate the beam pointing angle must be.     

中继卫星星间天线指向误差传播率研究

基于中继卫星星间天线对用户航天器的跟踪规律,建立了准确的误差传递模型,并对分析结果进行了仿真验证。文中首先定义了误差传递模型所需的各类坐标系;然后使用微分方法分别建立了中继卫星轨道误差传递模型、中继卫星姿态误差传递模型,分析了滚动角、俯仰角和偏航角与指向精度之间的关系,以及位置保持控制对指向精度的影响;最后借助于STK软件的轨道计算功能,使用蒙特卡罗方法进行数学仿真,仿真结果验证了误差传递模型的准确性。     

区间数据整体估计方法

提出了一种区间数据整体估计方法, 给出整体分布参数的最佳线性无偏估计量及其协方差矩阵, 得到了正态分布、Weibull分布等位置-尺度分布族区间数据百分位值和百分率的置信限估计.该方法可以将不同条件下的试验数据作为一个整体进行统计推断, 将传统的只适用于完全数据的回归分析推广到工程中常见的区间数据的情况.      

Optimum transmitter optics aperture for satellite opticalcommunication

An important aspect in satellite optical communication is to obtain minimum bit error rate (BER) using minimum power. This aim can be achieved with very small transmitter beam divergence angles. The disadvantages of too narrow divergence angle is that the transmitter beam may sometimes miss the receiver satellite, due to pointing vibrations. A mathematical model of communication and tracking systems that optimize the BER as function of the transmitter gain is derived     

An Adaptive Interference Canceling Array Utilizing Hybrid Techniques

The steady state properties of an adaptive array utilizing prior knowledge of both approximate signal arrival direction and signal characteristics are presented. The method combines the features of a directionally constrained array and an array with a self-generated reference signal. Explicit results are obtained for output signal, interference, and noise powers assuming a single interferer is present. The inclusion of a self-generated reference circuit is shown to reduce the sensitivity to pointing error typical of arrays utilizing a zero order directional constraint, the improvement being a consequence of the reduction of the desired signal component fed back to the sidelobe canceling circuit. A relationship between the degree of sensitivity reduction and the quality of the reference signal is developed. Results of computations of signal to interference plus noise ratios for a 7-element 10-wavelength nonuniformly spaced array as a function of pointing error are presented. These results show the behavior with one interferer inside and outside the beamwidth of the quiescent array and with multiple interferers for various degrees of perfection of the reference generating circuit. In all cases the computations confirm that the otherwise severe effects of small pointing errors are substantially reduced.     

卫星光通信APT控制系统H∞设计

 捕获瞄准跟踪(APT)控制系统的设计是影响整个星间光通信系统性能的重要因素。利用指向偏差的概率分布阐述了卫星光通信过程中捕获概率、跟踪误差及误码率受卫星平台振动和终端装置参数摄动的影响,通过功率谱分析了卫星平台振动在低频段、对象不确定性在高频段对指向偏差的影响,并对其进行了模型化分析。采用H_∞控制混合灵敏度设计方法同时抑制干扰和处理受控对象不确定性问题进行控制器设计。仿真验证表明该方法得到的控制器对平台干扰具有抑制力,对对象摄动具有鲁棒性。     

Aided Tracking as Applied to High Accuracy Pointing Systems

Two basic concepts of rate aided tracking and position aided tracking are applied to a conventional pointing system in order to improve performance. The aided track signals are derived in an inertial space format and are generated from a Kalman filter algorithm. Computational results are included to show the interplay between the conventional pointing system and the aided track filter.     

飞机风洞实验数据不确定度估计方法

论述了国际上目前流行的一些实验数据不确定度估计方法，指出它们各自的所长及不足。基于数理统计理论，给出置信水平、概率密度函数等选取应遵循的基本原则。提出了不确定度估计方法，并对随机界限估计中不应考虑误差源随机相关问题，做了简明的数学阐述。应用本文方法对某飞机风洞吹风模型实验所得到的数据进行了不确定度分析，并与其他方法做了比较。结果表明，本文方法简洁明了，且有较高计算精度。     

Calibration of Precision Gimbaled Pointing Systems

Corrections of pointing data provided by gimbal readout transducers can be used to compensate for the errors that arise because of gimbal misalignments and inaccuracies in transducer readout. This paper reviews the sources of pointing error in precision gimbaled pointing systems and describes the techniques for determining them. In particular, a method of calibration that is suitable for systems in which constraints on gimbal travel preclude the use of conventional calibration procedures is presented, and the pointing readout accuracy that can be achieved by this method is evaluated.