Improved Adaptive Iterated Extended Kalman Filter for GNSS/INS/UWB-Integrated Fixed-Point Positioning

To provide stable and accurate position information of control points in a complex coastal environment,an adaptive iterated extended Kalman filter(AIEKF)for fixed-point positioning integrating global navigation satellite system,inertial navigation system,and ultra wide band(UWB)is proposed.In thismethod,the switched global navigation satellite system(GNSS)and UWB measurement are used as the measurement of the proposed filter.For the data fusion filter,the expectation-maximization(EM)based IEKF is used as the forward filter,then,the Rauch-Tung-Striebel smoother for IEKF filter’s result smoothing.Tests illustrate that the proposed AIEKF is able to provide an accurate estimation.

基于自适应强跟踪Kalman滤波的GNSS跟踪环路设计

为提高GNSS接收机跟踪环路在复杂环境下的跟踪性能,提出一种基于自适应强跟踪Kalman滤波(ASTKF)的跟踪环路,在传统跟踪环路的基础上,以鉴相器输出为观测量进行自适应强跟踪Kalman滤波,滤波结果用于计算导航滤波器的观测量,同时将伪码频率和载波多普勒频率反馈到码NCO和载波NCO,在ASTKF中使用基于卡方分布的渐消因子计算方法,提升跟踪环路鲁棒性。半物理仿真实验表明,相比于基于Kalman滤波的跟踪环路和基于强跟踪Kalman滤波(STKF)的跟踪环路,所提出方法在水平方向上的位置误差和速度误差减小20%以上,有效提高了卫星导航接收机的定位性能。

Adaptive Federal Kalman Filtering for SINS/GPS Integrated System

A new adaptive federal Kalman filter for a strapdown integrated navigation system/global positioning system (SINS/GPS) is given. The developed federal Kalman filter is based on the trace operation of parameters estimation's error covariance matrix and the spectral radius of update measurement noise variance-covariance matrix for the proper choice of the filter weight and hence the filter gain factors. Theoretical analysis and results from simulation in which the SINS/GPS was compared to conventional Kalman filter are presented. Results show that the algorithm of this adaptive federal Kalman filter is simpler than that of the conventional one. Furthermore, it outperforms the conventional Kalman filter when the system is undertaken measurement malfunctions because of its possession of adaptive ability. This filter can be used in the vehicle integrated navigation system.

Scheme of adaptive polarization filtering based on Kalman model

A new kind of adaptive polarization filtering algorithm in order to suppress the angle cheating interference for the active guidance radar is presented. The polarization characteristic of the interference is dynamically tracked by using Kalman estimator under variable environments with time. The polarization filter parameters are designed according to the polarization characteristic of the interference, and the polarization filtering is finished in the target cell. The system scheme of adaptive polarization filter is studied and the tracking performance of polarization filter and improvement of angle measurement precision are simulated. The research results demonstrate this technology can effectively suppress the angle cheating interference in guidance radar and is feasible in engineering.

Adaptive Extended Kalman Filtering for Bearings-Only Targets Tracking Problem

An adaptive extended Kalman filtering (AEKF) is proposed for nonlinear control systems. For bearingsonly targets tracking problem, we present an adaptive extended Kalman filter which suits a nonlinear observation model and a linear dynamical model. Simulation results have shown that the adaptive extended Kalman filter for the passivetracking problem performs better than the original extended Kalman filter (EKF).

基于AKF滤波器的时栅角位移动态误差抑制方法

动态测量下的谐波误差成分是制约高精度、高分辨率的时栅角位移传感器在动态测量领域运用的主要原因之一。针对动态测量下时栅角位移传感器中的谐波抑制难题,首先简述了时栅角位移传感器的系统模型,其次建立了时栅角位移传感器的动态误差数学模型,之后解释了传感器的动态误差产生机理,阐述了自适应卡尔曼滤波的基本原理,最后构建了基于自适应卡尔曼滤波的时栅角位移传感器的动态误差抑制模型。通过仿真分析证明了时栅角位移传感器在匀速和变速运行情况下,经自适应卡尔曼滤波后,动态误差均降低了约70%,且随着传感器转速的提高,对谐波误差的抑制效果越明显。在实验运用中,该滤波算法对时栅角位移传感器的测量值有很好的实时预测性,传感器能够更快速且稳定运行,在100 r/min的转速下测量误差降低约80%。结果证实了自适应卡尔曼滤波在时栅角位移传感器的动态谐波误差抑制中有着显著的作用,能极大地提高传感器的动态测量精度。

一种基于软卡方检测的自适应Kalman滤波方法

在传统Kalman滤波中,卡方检测方法简单地将量测划分为正常和异常两种,针对其不足之处,改进并提出了一种新的软卡方检测方法。新方法根据卡方检测结果构造连续变化的量测,利用权重系数,充分挖掘处于正常值与异常值之间的可疑量测新息,同时还将该方法推广成多维量测的多分量卡方检测形式,建立了全面完整的软卡方检测Kalman滤波量测更新方程。最后,通过惯导/卫导组合导航仿真,验证了软卡方检测Kalman滤波的优势:无需任何参数调整且具有比Sage-Husa自适应滤波更小的统计误差波动。

IAE-adaptive Kalman filter for INS/GPS integrated navigation system

A marine INS/GPS adaptive navigation system is presented. GPS with two antenna providing vessel＇ s altitude is selected as the auxiliary system fusing with INS to improve the performance of the hybrid system. The Kalman filter is the most frequently used algorithm in the integrated navigation system, which is capable of estimating INS errors online based on the measured errors between INS and GPS. The standard Kalman filter （SKF） assumes that the statistics of the noise on each sensor are given. As long as the noise distributions do not change, the Kalman filter will give the optimal estimation. However GPS receiver will be disturbed easily and thus temporally changing measurement noise will join into the outputs of GPS, which will lead to performance degradation of the Kalman filter. Many researchers introduce fuzzy logic control method into innovation-based adaptive estimation adaptive Kalman filtering （IAE-AKF） algorithm, and accordingly propose various adaptive Kalman filters. However how to design the fuzzy logic controller is a very complicated problem still without a convincing solution. A novel IAE-AKF is proposed herein, which is based on the maximum likelihood criterion for the proper computation of the filter innovation covariance and hence of the filter gain. The approach is direct and simple without having to establish fuzzy inference rules. After having deduced the proposed IAEAKF algorithm theoretically in detail, the approach is tested by the simulation based on the system error model of the developed INS/GPS integrated marine navigation system. Simulation results show that the adaptive Kalman filter outperforms the SKF with higher accuracy, robustness and less computation. It is demonstra- ted that this proposed approach is a valid solution for the unknown changing measurement noise exited in the Kalman filter.

Adaptive Robust Tracking Control of Pressure Trajectory Based on Kalman Filter

When adaptive robust control（ARC） strategy based on backstepping design is applied in pneumatic servo control, accurate pressure tracking in motion is especially necessary for both force and position trajectories tracking ofrodless pneumatic cylinders, and therefore an adaptive robust pressure controller is developed in this paper to improve the tracking accuracy of pressure trajectory in the chamber when the pneumatic cylinder is moving. In the proposed adaptive robust pressure controller, off-line fitting of the orifice area and on-line parameter estimation of the flow coefficient are utilized to have improved model compensation, and meanwhile robust feedback and Kalman filter are used to have strong robustness against uncertain nonlinearities, parameter fluctuations and noise. Research results demonstrate that the adaptive robust pressure controller could not only track various pressure trajectories accurately even when the pneumatic cylinder is moving, but also obtain very smooth control input, which indicates the effectiveness of adaptive model compensation. Especially when a step pressure trajectory is tracked under the condition of the movement of a rodless pneumatic cylinder, maximum tracking error of ARC is 4.46 kPa and average tracking error is 0.99 kPa, and steady-state error of ARC could achieve 0.84 kPa, which is very close to the measurement accuracy of pressure transducer.

Navigation system of a class of underwater vehicle based on adaptive unscented Kalman fiter algorithm

Inherent flaws in the extended Kalman filter(EKF) algorithm were pointed out and unscented Kalman filter(UKF) was put forward as an alternative.Furthermore,a novel adaptive unscented Kalman filter(AUKF) based on innovation was developed.The three data-fusing approaches were analyzed and evaluated in a mathematically rigorous way.Field experiments conducted in lake further demonstrate that AUKF reduces the position error approximately by 65% compared with EKF and by 35% UKF and improves the robust performance.

Multi-sensor Hybrid Fusion Algorithm Based on Adaptive Square-root Cubature Kalman Filter

处于正常操作条件，一个常规方形根的求容积法 Kalman 过滤器(SRCKF ) 给足够地好的评价结果。然而，如果大小不是可靠的， SRCKF 可以给不精密的结果并且到时间分叉。这研究与过滤器获得修正介绍一个适应 SRCKF 算法因为测量的盒子失灵。由建议一个切换的标准，一个最佳的过滤器根据测量质量从适应、常规的 SRCKF 被选择。一个分系统软差错察觉算法与过滤器剩余被造。利用一个清楚的分系统差错系数，有缺点的分系统由于系统重建被孤立。以便改进多传感器系统的性能，一个混合熔化算法基于适应 SRCKF 被介绍。状态和错误协变性矩阵被 priori 熔化估计也预言，并且被分系统的预言并且估计的信息更新。建议算法被用于容器动态放系统模拟。他们与正常 SRCKF 和本地评价相比是加权的熔化算法。模拟结果证明介绍适应 SRCKF 改进分系统过滤的坚韧性，并且混合熔化算法有更好的表演。模拟验证建议算法的有效性。

Assimilating temperature and salinity profiles using Ensemble Kalman Filter with an adaptive observation error and T-S constraint

Temperature （T） and salinity （S） profiles from conductivity-temperature-depth data collected during the Northern South China Sea Open Cruise from August 16 to September 13, 2008 are assimilated using Ensemble Kalman Filter （EnKF）. An adaptive observational error strategy is used to prevent filter from diverging. In the meantime, aiming at the limited improvement in some sites caused by the T and S biases in the model, a T-S constraint scheme is adopted to improve the assimilation performance, where T and S are separately updated at these locations. Validation is performed by comparing assimilated outputs with independent in situ data （satellite remote sensing sea level anomaly （SLA）, the OSCAR velocity product and shipboard ADCP）. The results show that the new EnKF assimilation scheme can significantly reduce the root mean square error （RMSE） of oceanic T and S compared with the control run and traditional EnKF. The system can also improve the simulation of circulations and SLA.

Adaptive Kalman Filter of Transfer Alignment with Un-modeled Wing Flexure of Aircraft

The alignment accuracy of the strap-down inertial navigation system （SINS） of airborne weapon is greatly degraded by the dynamic wing flexure of the aircraft. An adaptive Kalman filter uses innovation sequences based on the maximum likelihood estimated criterion to adapt the system noise covariance matrix and the measurement noise covariance matrix on line, which is used to estimate the misalignment if the model of wing flexure of the aircraft is unknown. From a number of simulations, it is shown that the accuracy of the adaptive Kalman filter is better than the conventional Kalman filter, and the erroneous misalignment models of the wing flexure of aircraft will cause bad estimation results of Kalman filter using attitude match method.

Fuzzy adaptive Kalman filter for indoor mobile target positioning with INS/WSN integrated method

Pure inertial navigation system(INS) has divergent localization errors after a long time. In order to compensate the disadvantage, wireless sensor network(WSN) associated with the INS was applied to estimate the mobile target positioning. Taking traditional Kalman filter(KF) as the framework, the system equation of KF was established by the INS and the observation equation of position errors was built by the WSN. Meanwhile, the observation equation of velocity errors was established by the velocity difference between the INS and WSN, then the covariance matrix of Kalman filter measurement noise was adjusted with fuzzy inference system(FIS), and the fuzzy adaptive Kalman filter(FAKF) based on the INS/WSN was proposed. The simulation results show that the FAKF method has better accuracy and robustness than KF and EKF methods and shows good adaptive capacity with time-varying system noise. Finally, experimental results further prove that FAKF has the fast convergence error, in comparison with KF and EKF methods.

Vertical Tire Forces Estimation of Multi-Axle Trucks Based on an Adaptive Treble Extend Kalman Filter

Vertical tire forces are essential for vehicle modelling and dynamic control.However,an evaluation of the vertical tire forces on a multi-axle truck is difficult to accomplish.The current methods require a large amount of experimental data and many sensors owing to the wide variation of the parameters and the over-constraint.To simplify the design process and reduce the demand of the sensors,this paper presents a practical approach to estimating the vertical tire forces of a multi-axle truck for dynamic control.The estimation system is based on a novel vertical force model and a proposed adaptive treble extend Kalman filter(ATEKF).To adapt to the widely varying parameters,a sliding mode update is designed to make the ATEKF adaptive,and together with the use of an initial setting update and a vertical tire force adjustment,the overall system becomes more robust.In particular,the model aims to eliminate the effects of the over-constraint and the uneven weight distribution.The results show that the ATEKF method achieves an excellent performance in a vertical force evaluation,and its performance is better than that of the treble extend Kalman filter.

基于AKF的无人水翼航行器纵向姿态控制研究

无人水翼航行器在运行过程中会受到海浪干扰,使得无人水翼航行器姿态控制效果变差,而传统卡尔曼滤波(KF)过程噪声矩阵为固定值,在复杂海况下滤波效果并不理想。针对上述问题,基于一种无人水翼航行器,首先建立了其纵向运动数学模型,并设计了纵向姿态LQR控制器。然后设计了一种基于新息卡方检验值的自适应卡尔曼滤波(AKF),以自适应调节过程噪声矩阵,并将AKF用于对系统反馈状态进行最优估计。通过仿真验证了基于AKF的纵向姿态控制器,能够有效抑制海浪干扰,可以使无人水翼航行器在海浪中平稳运行。

GPS Navigation Using Adaptive Kalman Filter for Maneuvering Vehicle

Several filter techniques were available for the GPS position estimation problem of maneuvering vehicle ranging from using different process noises to Interactive Multiple Model (IMM). The limitation of using standard Kalman filters is listed.The performance of proposed adaptive filter is compared with that of the standard ones,two types of dynamic modeling of the maneuvering vehicle are used.The simulation is based on the almanac data of the GPS satellites to compute its feasibility during the simulation time and position on shape 8 track with continuous vehicle maneuvering. The goal is to obtain computationally efficient filter with reasonable accuracy for vehicle in maneuvering situation. The filter proposed is an alternative to the filter proposed in Ref. [1] with low computational burden.

Kalman Filter for Adaptive Antennas

Adaptive control algorithm ls a key technlque for an adaptive array. It ls necessary to find a fastand efficient aIgorithm ror gaining rapid interrerence suppression. Convergence speed of conventional gradient-based algoritkms ls extremely slow and very sensitive to elgenvalue spread of autocorrelation matrix. Thispaper presents the Kalman filtering method to adaptlve array processing. It has good transient response andachieves faster convergence speed,so it is msot su1table for complicated adaptive systems. We analyzed itsconvergence performance which proved to be related to initial value for P(0). Computer simulation by applying four elements array to null steering was carrled out. It ls shown that fast convergence needs only 2Mnumbers of iteration. The Iess the value was seIected for P(o),the slower convergence was found. Further,ifP(o) were too, small, the method would not be abIe to converge. On the other hand, bigger values of P(0)can not achieve more lmprovement in convergence per formance. Slmulation aIso discovered steady responsedenoted with SNIR dependent on the power of reference signai. These results demonstrate the validity and effectiveness 0f the Kalman type adaptlve antenna.

交互多模自适应容积Kalman滤波算法设计及履带车辆跟踪应用

为满足履带车辆作为机动目标的实时跟踪和对目标速度、航向角的准确估计,针对测量值含有相关乘性噪声,采用新息分析法依据噪声相关系数已知和未知改进容积Kalman滤波算法。考虑到单模型滤波器难以准确地实现机动目标的跟踪,采用交互式多模型算法对履带车辆运动轨迹进行描述,提出一种交互式多模自适应容积Kalman滤波算法。仿真表明交互式多模型自适应容积Kalman滤波算法对车辆机动具有稳定的跟踪效果且乘性噪声得到有效处理。

遮挡环境下的基于AKF组合导航定位方法研究

GNSS/INS组合导航系统已经得到广泛应用。但是在GNSS系统受到环境限制时,松组合方案会失效。星座几何布局频繁变化等原因,会造成紧组合导航定位精度大幅下降。针对这一问题,本文采用基于新息的自适应卡尔曼滤波紧组合导航方法,设计了城市环境车载实验方案。该方法以伪距、伪距率的误差作为观测量,进行滤波估算,同时根据新息的方差理论值与实际值,构建自适应因子,对系统的量测噪声阵进行调整,进一步修正系统误差。通过实验验证,在可视卫星数低于4颗的时间内,此方法的三维定位误差相较于使用传统的卡尔曼滤波方法定位误差降低了约24.2%;在卫星可视条件频繁变化环境中,定位误差最大降低了约60%。结果表明此方法在观测条件较差时,可以对卫星伪距的观测噪声进行调整,降低了状态误差,增强滤波器的鲁棒性,从而提供更精准的位置信息。