Error estimation of INS ground alignment through observabilityanalysis

A systematic analysis of the observability of an inertial navigation system (INS) in ground alignment with Bar-Itzhack and Berman's error model is presented. It is shown that the unobservable states are separately contained in two decoupled subspaces. The constraints on the selection of unobservable states are discussed. An estimation algorithm which is derived fully from the horizontal velocity outputs for computing the misalignment angles is provided. It reveals that the azimuth error can be entirely estimated from the estimates of leveling error and leveling error rate, without using gyro output signals explicitly     

一种改造的SINS误差模型在精对准中的应用

针对捷联惯导系统原始的静态误差模型航向角误差不可观测的情况,本文提出了一种改造的静态误差模型.该模型在原始模型的基础之上,通过能观测性结构分解以及状态变换转化而来.理论分析表明经改造后的误差模型可从一定程度上解决航向角误差不可观测的问题.利用该模型对某型号车载激光捷联惯组作卡尔曼滤波精对准实验,并对比参数辨识精对准的结...     

Observability of an integrated GPS/INS during maneuvers

An observability analysis of a GPS/INS system during manoeuvers is presented based upon a perturbation model with respect to the Earth-centered-Earth-fixed (ECEF) coordinate system. Analysis is performed on two types of manoeuvers, linear acceleration and steady turn. These manoeuvers could be used for in-flight INS alignment using GPS. During the constant linear acceleration without rotation relative to the Earth, the linear system model is shown to be time-invariant. The observability analysis for the time invariant linear system model shows that linear acceleration does not change the number of observable modes but rather the structure of the observable space. For a nonconstant linear acceleration or a steady turn, the perturbation linear system becomes time varying. For this time-varying system, three types of observability are considered, complete, differential, and instantaneous observability. Instantaneous observability is the strongest properties and means that the state of the system at any time may be determined instantaneously from observation of the output and its derivatives. Instantaneous observability is important for fast in-flight INS alignment. It is shown that the number of instantaneously observable moded is increased by at least 2 during a maneuver. Hence, some linear combinations of the attitude angles become instantaneously observable.     

一种提高光纤旋转系统导航精度的扰动基座对准技术

光纤旋转系统的安装误差、标度因数误差等误差参数会随着时间而改变,而惯性器件误差是导航过程中误差的主要来源,因此在系统自对准的同时对关键误差参数进行标定能够提高系统的导航性能。为了在不显著增加光纤旋转系统准备时间的条件下,结合光纤旋转系统特点,提高旋转系统的导航精度,将对光纤旋转系统扰动基座下的自对准技术进行研究。提出了一种优化改进的旋转路径和自标定自对准流程,并对旋转路径进行了可观度分析,在该旋转路径下采用了Kalman滤波算法对陀螺的安装误差、陀螺标度因数误差、加表零偏进行估计并补偿。仿真与系统试验结果表明,采用该方案后,系统速度误差有明显降低。     

基于鱼群优化粒子滤波的捷联惯导系统初始对准方法

针对传统捷联惯导系统静基座初始对准模型的维数较高,导致滤波算法的解算实时性较差的问题,设计出一种基于鱼群优化粒子滤波的两位置初始对准方法。首先,建立了捷联惯导系统的两位置初始对准模型。由于该模型中不存在惯性器件的随机常值影响,因此,在确保初始对准精度的前提下,有效降低了初始对准模型维数;然后,利用鱼群优化算法改善了粒子滤波算法中粒子样本的分布,提高了粒子滤波算法的收敛速度和预测精度。仿真结果验证,采用该初始对准方法,可以有效提高初始对准的精度,且满足系统对实时性的要求。     

基于“速度+姿态”快速传递对准的可观测性分析

惯导系统初始对准一般采用卡尔曼滤波器对初始姿态误差角进行估计,而在设计卡尔曼滤波器之前通常要对系统进行可观测性分析,确定卡尔曼滤波器的效果。捷联惯导系统的卡尔曼滤波模型在传递对准时,为线性时变系统,而线性时变系统的可观测性分析比较困难。文中采用一种依据系统矩阵的奇异值确定状态可观测度的方法对基于“速度＋姿态”快速传递对准的卡尔曼滤波模型进行可观测性分析,结果表明该方法可直接简单地实现系统状态的可观测度分析。     

Observability, Eigenvalues, and Kalman Filtering

In higher order Kalman filtering applications the analyst often has very little insight into the nature of the observability of the system. For example, there are situations where the filter may be estimating certain linear combinations of state variables quite well, but this is not apparent from a glance at the error covariance matrix. It is shown here that the eigenvalues and eigenvectors of the error covariance matrix, when properly normalized, can provide useful information about the observability of the system.     

矩阵数值秩的一种确定方法及其在控制系统中的应用

一、矩阵的数值秩 矩阵秩的确定在现代控制理论中占有重要的地位。在代数理论中,用行列式或特征值来判断矩阵的秩,由于舍入误差的存在,用计算机判断矩阵秩时,这些方法是不完全适用的。     

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。     

基于奇异值分解的组合导航可观测度计算

以捷联惯组为主惯导的组合导航系统具有短时定位精度高、可靠性强等优点,但其依然存在长时间导航精度不高、运算量大、组合效率不高等问题。为更好地完善组合导航系统的误差补偿和抑制技术,对SINS/DVL组合导航系统的可观测性能进行了研究。在分段定常系统(Piece-wise Constant System,PWCS)的可观测性分析方法及基于奇异值分解的系统状态可观测度分析方法基础上,结合可观测性矩阵的遗传特性,提出了一种简化的状态量可观测性分析方法,并对该方法进行了理论仿真。为方便比较状态量的可观测程度,对各状态的可观测度进行了归一化处理。最后,通过湖面跑船实验设计了不同的航迹机动方式,计算了关键导航参数的可观测性能。实验证明,该方法可以实时计算组合导航参数的可观测度,根据可观测度设计的航迹可以有效提高导航精度,定位精度可提高1个量级,收敛速度也获得了明显提高。     

Strapdown INS error model for multiposition alignment

The relationship between quaternion errors and tilt angles from true navigation frame to analytic platform frame is newly derived for strapdown inertial navigation system (SDINS). Using the relationship it is shown that the quaternion error model for attitude and velocity is equivalent to the conventional perturbation error model. Based upon the equivalency, the quaternion errors during a multiposition alignment are determined and analyzed. Furthermore, it is shown that the heading rotation of 180 deg achieves the minimal quaternion error for 2-position ground alignment     

传统组合导航中的实用Kalman滤波技术评述

在随机线性系统建模准确的情况下,Kalman滤波是线性最小方差无偏估计。针对传统惯导/卫导组合导航的实际应用,难以精确建模,给出了常用的建模方法、状态量选取原则、离散化方法及滤波快速计算方法。讨论了平方根滤波、自适应滤波、联邦滤波和非线性滤波等技术的适用场合,并给出了使用建议。针对前人研究可观测度中未考虑随机系统噪声的缺陷,提出了更加合理的以初始状态均方误差阵为参考的可观测度定义和分析方法。提出了均方误差阵边界限制方法,可有效抑制滤波器的过度收敛和滤波发散。该讨论可为工程技术人员提供一些有实用价值的参考。     

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     

Observability of Relative Navigation Using Range-Only Measurements

A simulation tool is described which is capable of determining the observability of various fleet configurations and maneuvers in a relative navigation environment. The motion of the relative grid established by the navigation controller is explicitly modeled as a function of the errors in his dead-reckoning sensors. The simulation uses centralized, optimal processing of an extended Kalman filter. Results show observability on a good geometry, with some degradation in performance when dead-reckoning sensor errors change rapidly.     

单载机相位差无源定位系统可观测性分析(英文)

With a pair of antennas spaced apart, an airborne passive location system measures phase differences of emitting signals. Regarded as cyclic ambiguities, the moduli of the measurements traditionally are resolved by adding more antenna elements. This paper models the cyclic ambiguity as a component of the system state, of which the observability is analyzed and compared to that of the bear- ings-only passive location system. It is shown that the necessary and sufficient observability condition for the bearings-only passive location system is only the necessary observability condition for the passive location system with phase difference measurements, and that when the system state is observable, the cyclic ambiguities can be estimated by accumulating the phase difference measurements, thereby making the observer able to locate the emitter with high-precision.     

空间多机器人协同的多视线仅测角相对导航

研究了空间多机器人对非合作目标的多视线协同仅测角相对导航问题。为利用多视线信息融合提升仅测角相对导航性能,给出了一种可观测度优化的多视线仅测角相对导航方法。首先基于二阶CW方程构建了中心机器人与目标相对动力学模型和状态方程,并构建了仅包含多伴飞机器人视线角的观测方程,结合扩展卡尔曼滤波算法,形成多视线仅测角相对导航系统;然后分析推导得到可观度最优的视线间夹角条件,提出了兼顾可观测度和长期自然维持的多伴飞机器人观测构型优化方法;最后,数学仿真结果表明,提出的多视线仅测角相对导航系统、可观测度最优的视线夹角条件和观测构型优化方法,可以显著提高距离状态可观测度和估计性能,且具有较好的工程可用性。     

瞄准吊舱捷联惯导系统快速传递对准方法

 新型瞄准吊舱系统中安装捷联惯导系统,使其在跟踪、探测目标的同时具备一定的自主导航能力。吊舱系统中的捷联惯导一般采用较低精度的惯性器件配置,且传递对准实现过程受到机动条件的严格限制。针对该问题提出了一种“比力积分/角速度匹配”传递对准方法,利用主惯导导航信息与惯性器件输出,以及子惯导惯性器件输出实现子惯导的对准。推导了基于主、子惯导系统误差的数学模型,详细分析了器件精度与低动态条件对系统状态量可观测度的影响,并针对低精度惯性器件与低动态条件下的传递对准性能进行了数字仿真。仿真结果表明,该方法在器件低精度与低动态条件下,对准性能达到5′,优于常规传递对准方法,可满足瞄准吊舱捷联惯导系统的快速对准性能要求。     

Nth-order dynamics target observability from anglemeasurements

Necessary and sufficient conditions are presented for the observability of the target's Nth-order dynamics, given direction measurements. The derivations are extremely simple and do not require the examination of an observability matrix or nonlinear differential equations. Previously published observability requirements for the first-order dynamics are shown to be necessary but not sufficient     

Observability analysis of piece-wise constant systems. II.Application to inertial navigation in-flight alignment [militaryapplications]

For pt.I see ibid., vol.28, no.4, p.1056-67, Oct. 1992. The method of analyzing the observability of time-varying linear systems as piecewise constant systems (PWCS) is applied to the analysis of in-flight alignment (IFA) of inertial navigation systems (INS) whose estimability is known to be enhanced by maneuvers. The validity of this approach to the analysis of IFA is proven. The analysis lays the theoretical background to, and clearly demonstrates the observability enhancement of, IFA. The analytic conclusions are confirmed by covariance simulations. Although INS IFA was handled to various degrees in the past, a comprehensive control theoretic approach to the problem is introduced. The analysis yields practical conclusions and a procedure previously unknown     

基于惯性/激光测距/视觉里程计组合的高空场景尺度误差估计方法

惯性/视觉感知信息融合导航定位技术是目前实现无人机不依赖卫星自主导航的最有效手段。但对于面向高空场景的大型无人机，惯性器件误差与视觉里程计尺度误差耦合且特征平面化导致可观测性下降。针对这一问题，提出了利用惯性/激光测距/视觉里程计组合实现尺度误差估计的方法。通过开展误差模型建立、激光测量点与图像中位置匹配、无人机平飞机动下系统可观测性分析等关键技术研究，实现了高空场景下尺度误差的精确估计。经过300m高度机载试验数据验证，算法精度优于1.5%D，对卫星拒止条件下高空无人机自主导航具有重要意义。