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1.
一种基于抗差自校正Kalman滤波的GPS导航算法   总被引:1,自引:1,他引:1  
为减弱异常观测值对自校正Kalman滤波精度的影响,引入抗差M估计的等价权函数,建立了抗差自校正Kalman滤波算法,并用实例进行了验证。计算表明,该自适应滤波算法在完全未知噪声统计的情况下,不仅能够自适应地求解状态参数,而且还能在一定程度上有效地抵制观测异常对导航解的影响。  相似文献   

2.
动态系统的抗差Kaliman滤波   总被引:9,自引:0,他引:9  
离散历元的动态观测量及其相应的动态模型可能存在异常,若数据处理模型不考虑对这些异常的特别处理,则动态模型参数估值及其所提供的动态信息将极不可靠。基于贝叶斯统计和抗差估计原理,我们构造了一种抗差滤波算法。该算法考虑观测分布和参数验前分布均为污染分布。并利用一个实测网验算该算法和模型的可靠性。  相似文献   

3.
周晓敏  刘海颖  蒋鑫  夏露 《测绘科学》2018,(4):109-113,121
针对满足一些状态约束的线性系统,通常的卡尔曼滤波未能有效利用状态约束信息,从而限制了导航定位解算性能的问题,该文将线性系统的状态约束条件融入卡尔曼滤波中,充分利用状态约束信息,对比分析了准确测量法、估计投影法、系统投影法和滑动时域估计法4种状态约束下的卡尔曼滤波方法,以提高卡尔曼滤波的导航状态估计精度。以陆地车辆导航定位的状态估计为对象,对比分析了非约束卡尔曼滤波和带有状态约束的卡尔曼滤波的状态估计精度,结果表明,状态约束卡尔曼滤波可以明显提高导航定位精度。  相似文献   

4.
应变参数的抗差解及误差影响   总被引:1,自引:0,他引:1  
应用弹性力学的应变分析理论和抗差估计原理,推导了应变参数的抗差解及其误差影响函数。实际算例表明,应变参数的抗差解可以有效地抵制粗差的异常影响,得到应变参数的可靠解,这对于利用高精度GPS复测资料研究大尺度的地壳运动和变形具有实际意义。  相似文献   

5.
基于当前加速度模型的抗差自适应Kalman滤波   总被引:1,自引:1,他引:0  
高为广  杨元喜  张双成 《测绘学报》2006,35(1):15-18,29
动态导航与定位的质量取决于对动态载体扰动和观测异常扰动的认知和控制。首先介绍机动载体的当前统计模型,分析该模型存在的问题,提出一种基于“当前”加速度模型的抗差自适应卡尔曼滤波算法。跟以往建立的自适应KALMAN滤波进行比较,计算结果表明,该算法不仅可以提高滤波器的精度,而且更能有效地控制观测异常和动态扰动异常对导航解的影响,使导航解更能反映导航系统的真实情况。  相似文献   

6.
简要介绍了GPS/INS松组合导航系统状态方程和观测方程。针对标准Kalman滤波算法存在的状态方程截断误差、噪声统计特性的不确定性以及状态扰动异常的影响,给出了一种应用于GPS/INS组合导航系统的迭代滤波算法。该算法采用迭代策略,不断利用观测信息实时修正状态预报值。实测数据计算结果表明,通过对状态预报值的实时修正,该算法能够很好地抑制状态预报信息的不确定性和扰动异常等对导航解的影响。其滤波解精度明显优于标准Kalman滤波。  相似文献   

7.
Information on trajectory and attitude is essential for analyzing gravimetric data collected on kinematic platforms. Usually, a Kalman filter is used to obtain high-accuracy positional and velocity information. However, this can be affected by measurement outliers and by state disturbances that occur frequently under a fast-changing environment. To overcome these problems, a robust adaptive Kalman filtering algorithm is applied for state estimates, which introduces an equivalent weight to resist measurement outliers and an optimal adaptive factor to balance the contributions of the kinematic model information and the measurements. In addition to the conventional robust estimator, an improved Current Statistical (CS) model is proposed. The improved CS model adopts a variance adaptive learning algorithm, and it can perform self-adaptation of acceleration variance with the innovation information; thus, it can overcome the shortcoming of lower tracking accuracy and avoid setting the maximum acceleration. Following a gravimetry campaign on the Baltic Sea, it is shown in theory and in practice that the robust adaptive Kalman filter is not only simple in its calculation but also more reliable in controlling the colored observation noise and kinematic state disturbance compared with the classical Kalman filter. The improved CS model performs best, especially when analyzing the positioning errors at the turns due to the target maneuvering. Compared to the CS model, the RMS values of the positional estimates derived from the improved CS model decrease by almost 30% in the horizontal direction, and no significant improvement in the vertical direction is found.  相似文献   

8.
甘雨  隋立芬  刘长建  董明 《测绘学报》2015,44(9):945-951
由载波相位观测值直接解算姿态能实现观测及姿态约束信息的最优利用。本文推导了基于失准角及乘性误差四元数的载波相位观测模型,分别建立了有外部角速度传感器和无外部传感器辅助下姿态参数估计的状态模型;利用自适应抗差滤波估计姿态误差,借鉴分类自适应因子的思想,分别确定模糊度和姿态误差参数的自适应因子,其中姿态自适应因子由Ratio值构造的三段函数确定。自适应抗差滤波能够充分利用约束信息和历史信息,将其融合在浮点解计算过程中,极大提高模糊度浮点解精度及其协方差的结构,在此基础上使用整数最小二乘模糊度降相关平差法(least-squares ambiguity decorrelation adjustment,LAMBDA)方法即能快速搜索出固定解,满足实时性需求。采用实测舰载GNSS 3天线测姿算例对方法进行了验证,结果表明,基于自适应抗差滤波的观测值直接定姿方法效率高、可靠性好。  相似文献   

9.
根据用GPS载波相位三差观测量进行动态定位或精密导航的需求,推导了动态噪声、观测噪声为有色噪声的抗差卡尔曼滤波公式。白噪声的抗差卡尔曼滤波是有色噪声的抗差卡尔曼滤波的特例,有色噪声的抗差卡尔曼滤波为白噪声的抗差卡尔曼滤波的推广。  相似文献   

10.
针对动态导航卡尔曼(Kalman)滤波的异常扰动影响问题,根据观测量中的粗差对状态向量滤波值的影响规律,引入了双因子算法,导出基于预报残差的抗差卡尔曼滤波模型,该模型具有良好的抗差性,利用实测数据加模拟粗差进行验证,结果表明:抗差卡尔曼滤波可以很好的控制状态对滤波估值的影响,精度相对于标准卡尔曼滤波有明显的提高。  相似文献   

11.
The integration of Global Navigation Satellite System (GNSS) and Inertial Navigation System (INS) technologies is a very useful navigation option for high-accuracy positioning in many applications. However, its performance is still limited by GNSS satellite availability and satellite geometry. To address such limitations, a non-GNSS-based positioning technology known as “Locata” is used to augment a standard GNSS/INS system. The conventional methods for multi-sensor integration can be classified as being either in the form of centralized Kalman filtering (CKF), or decentralized Kalman filtering. However, these two filtering architectures are not always ideal for real-world applications. To satisfy both accuracy and reliability requirements, these three integration algorithms—CKF, federated Kalman filtering (FKF) and an improved decentralized filtering, known as global optimal filtering (GOF)—are investigated. In principle, the GOF is derived from more information resources than the CKF and FKF algorithms. These three algorithms are implemented in a GPS/Locata/INS integrated navigation system and evaluated using data obtained from a flight test. The experimental results show that the position, velocity and attitude solution derived from the GOF-based system indicate improvements of 30, 18.4 and 20.8% over the CKF- and FKF-based systems, respectively.  相似文献   

12.
The Kalman filter is derived directly from the least-squares estimator, and generalized to accommodate stochastic processes with time variable memory. To complete the link between least-squares estimation and Kalman filtering of first-order Markov processes, a recursive algorithm is presented for the computation of the off-diagonal elements of the a posteriori least-squares error covariance. As a result of the algebraic equivalence of the two estimators, both approaches can fully benefit from the advantages implied by their individual perspectives. In particular, it is shown how Kalman filter solutions can be integrated into the normal equation formalism that is used for intra- and inter-technique combination of space geodetic data.  相似文献   

13.
用于GIS道路信息修测的动态GPS自适应滤波试验   总被引:1,自引:0,他引:1  
利用车载GPS进行GIS道路信息修测与更新已在西安地区进行了试验。试验中使用了三种动态定位算法 ,即GPS接收机的随机软件、Sage滤波算法及新发展起来的抗差自适应滤波算法。试验表明 ,新的自适应抗差滤波不仅计算简单 ,而且能控制GPS伪距观测和载体状态异常扰动的影响。  相似文献   

14.
GPS导航中的抗差自适应Kalman滤波算法   总被引:1,自引:0,他引:1  
高为广  张双成  王飞  王利 《测绘科学》2005,30(2):98-100
GPS导航与定位的质量取决于对动态载体函数模型和随机模型的认知。本文首先基于机动载体的当前统计模型 ,设计了离散系统的Kalman滤波器 ,进而基于方差分量估计给出了一种适合GPS动态定位的抗差自适应卡尔曼滤波算法。该算法模型简单 ,实时性好。实测数据计算结果表明 ,滤波导航解能有效地控制观测异常和动态扰动异常对导航解的影响 ,使导航解更能反映导航目标的真实情况  相似文献   

15.
精密单点定位的可靠性研究   总被引:3,自引:0,他引:3  
从传统最小二乘的可靠性理论出发,推导了卡尔曼滤波观测方程和预计状态向量的可靠性理论,并与传统多余观测分量的可靠性进行比较。结果表明,两种方案的观测方程的内部可靠性不仅与观测值的精度有关,还与卫星几何结构和卫星高度角有关。卡尔曼滤波的预计状态向量的内部可靠性比观测方程的内部可靠性更易受卫星几何结构的影响。虽然两种方案的外部可靠性在收敛之后都在mm级,但伪距的收敛速度要快于载波相位。  相似文献   

16.
Robust bayesian estimation   总被引:10,自引:2,他引:10  
Classical least squares Bayesian estimation consists of minimizing the sum of the squared residuals of observations and the corrections to prior estimates of parameters.Many authors have produced more robust versions of this estimation by replacing the square by something else, such as the absolute value. In this article, three robust (M-LS, LS-M and M-M) estimators for three corresponding error models are described based on the principle of maximum likelihood type estimates (M-estimates). The influence functions of the three robust Bayesian estimators are given. The algorithm implementation problems are discussed and the expressions for the posterior variance-covariance are derived.  相似文献   

17.
基于Kalman滤波定轨的基本原理,本文针对GEO卫星定轨中的系统误差,提出了消参数双向Kalman滤波定轨方法,给出了该方法的状态模型和观测模型,并推导出解算公式.最后以卫星钟差为例,分别对常数项、线性变化和二次多项式形式的系统误差进行了模拟计算,结果表明:该方法能有效削弱系统误差的影响,提高了定轨精度,并能较好地估...  相似文献   

18.
Robust estimation of geodetic datum transformation   总被引:18,自引:1,他引:17  
Y. Yang 《Journal of Geodesy》1999,73(5):268-274
The robust estimation of geodetic datum transformation is discussed. The basic principle of robust estimation is introduced. The error influence functions of the robust estimators, together with those of least-squares estimators, are given. Particular attention is given to the robust initial estimates of the transformation parameters, which should have a high breakdown point in order to provide reliable residuals for the following estimation. The median method is applied to solve for robust initial estimates of transformation parameters since it has the highest breakdown point. A smooth weight function is then used to improve the efficiency of the parameter estimates in successive iterative computations. A numerical example is given on a datum transformation between a global positioning system network and the corresponding geodetic network in China. The results show that when the coordinates are contaminated by outliers, the proposed method can still give reasonable results. Received: 25 September 1997 / Accepted: 1 March 1999  相似文献   

19.
多源传感器动、静态滤波融合导航   总被引:12,自引:2,他引:12  
首先给出联邦滤波各局部输出量之间的相关协方差矩阵,进而给出了基于各传感器独立观测信息的动、静态滤波解法,这种解法避免了重复使用载体状态方程信息的问题,保证了多传感器数据融合的最优性,而且很容易扩展到抗差滤波和自适应滤波融合。  相似文献   

20.
动态导航与定位的质量取决于对动态载体扰动和观测异常扰动的认知和控制质量。在实践中,观测向量及其动态模型信息均可能存在异常,此时若仍利用标准Kalman滤波,则状态滤波解将极不可靠。在标准Kalman滤波原理的基础上,结合模糊控制理论,提出了一种基于模糊理论的抗差Kalman滤波算法。该方法是依据滤波处理后的数据残差,利用模糊理论构造等价权,从而有效控制粗差对导航解的影响,并用算例验证了该方法的可行性和有效性。  相似文献   

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