文献翻译-基于自适应滤波器的组合导航信息融合

英文翻译

系别

专业名称

班级

学生姓名

学号

指导教师

Information Fusion of Integrated Navigation Based on

Self-adaptive Filter

Abstract- In order to realize high accuracy and excellent reliability of navigation system, information fusion technology of integrated navigation based on self-adaptive filter is researched in this paper. Inertial navigation system (INS), global navigation satellite system (GNSS),synthetic aperture radar (SAR) and barometric altimeter (BA) are taken to construct INS/GNSS/SARIBA integrated system.INS is regarded as the primary navigation equipment, and other systems are aided navigation equipments. Firstly, errors of INS, GNSS, SAR and BA are modeled and chosen as system states of integrated navigation. Based on self-adaptive filter algorithm, output information of INS and GNSS are fused in INS/GNSS integrated navigation filter, and output information of INS, SAR and BA are fused in INS/SARIBA integrated navigation filter. Then the federated filter frame is designed, and estimations of system states from INS/GNSS and INS/SARIBA local filters are fused once more in the master filter independently.Consequently global optimal estimations of system states are given by the master filter, which are used to correct errors of INS. Simulation results show that,position accuracy of INS/GNSS/SARIBA integrated navigation reaches±1l.6m,attitude accuracy reaches ±0.52,velocity accuracy reaches ±0.14m/s, and its reliability is very excellent when noise statistics characteristics of some navigation equipment are variational in the navigation process.

Keywords-information fusion; integrated navigation; self-adaptive filter; inertial navigation system; global navigation satellite system; synthetic aperture radar; barometric altimeter

I.INTRODUCTION

The accuracy and reliability of navigation system are more and more important for the modern flight task.Integrated navigation technology based on information fusion is an available approach to improve the accuracy and reliability of the navigation system . By fusing navigation information from all sorts of navigation equipments, integrated navigation can take full advantage of each non-similar navigation sub-systems. Based on Wiener filtering, Kalman filtering,self-adaptive filtering and other information fusion technologies, the optimal estimates of navigation parameters can be obtained.

At present, inertial navigation system (INS) is widely used in spaceflight, aviation and other fields. It has strong anti-interference capability, and can provide position,attitude, velocity and other parameters. But its errors accumulate with navigation time. Global navigation satellite system (GNSS) is the most precise navigation system in the world, but satellite signals of GNSS are subject to be interfered or shielded [2]. Similarly, other modern navigation systems also have several disadvantages. However, accuracy, reliability and anti-interference capability of navigation system become more and more important for the modern aircraft. In order to realize higher accuracy and more excellent performance, it is necessary to take full advantage of each navigation system by information fusion technology.INS, GNSS, synthetic aperture radar (SAR) and barometrical time ter(BA)are taken to construct INS/GNSS/SARIBA integrated navigation system by information fusion technology in this paper. INS is regarded as the primary navigation equipment, and other systems are aided navigation equipments. Noise statistics characteristics of these aided navigation equipments are probably uncertain or variational during the navigation process, which will lower the accuracy of Kalman filter [3], so self-adaptive filter is adopted to design local filters of integrated navigation. In order to obtain global optimal estimations of system states, the federated filter frame and

global optimal information fusion algorithm are designed. Thus high accuracy, strong reliability and good anti-interference capability are realized in INS/GNSS/SARIBA integrated navigation system.

In this integrated navigation system, East-North-Up geography coordinate is chosen as navigation coordinate. INS, GNSS, SAR and BA are all mounted on the aircraft. INS outputs the position, velocity and attitude of the aircraft, GNSS output the position and velocity, SAR outputs the latitude and longitude of the position, and BA outputs the altitude. Errors of INS, GNSS, SAR and BA are chosen as system states of integrated navigation. The difference between position outputs of INS and GNSS, and the difference between velocity outputs of INS and GNSS are taken as the measurement of INS/GNSS integrated navigation. At the same time, the difference between position outputs of INS and SAR, and the difference between altitude outputs of INS and BA are taken as the measurement of INS/SARIBA integrated navigation. Then two measurements are sent to corresponding local filters, and two local estimations of system states are obtained by information fusion algorithm. Two local estimations are sent to the master filer, and then global optimal estimations of system states are given in the master filter by the global Optimal Fusion Algorithm. Finally, global optimal estimations are used to correct errors of INS, and outputs of corrected INS are regarded as outputs of INS/GNSS/SARIBA integrated navigation system. So the above information fusion scheme in integrated navigation is described as follows:

In the design of integrated navigation, errors of navigation equipments are taken as system states, so errors of INS, GNSS, SAR and BA must be analyzed and modeled firstly. Errors of inertial instrument are the main error sources of INS. After calibration and compensation, random drifts are reserved in inertial instrument errors, which including constant drifts of gyro white noises of gyros constant biases of accelerometers and white noises ofaccelerometers where i = x, y, Z denote the X, Y and Z axes of the aircraft. And thus inertial instrument errors generate other errors of INS, including analytic platform attitude error, velocity error and position error. Model equations of above errors are provided in many references, so unnecessary details are not given in this paper. GNSS is the most precise navigation system in the world, and its positioning accuracy reaches several dozens meters. So errors of GNSS are usually considered as white noise processes, and not chosen as system states of integrated navigation So system states of INS/GNSS integrated navigation include inertial instrument errors, analytic platform attitude errors of INS,velocity errors.According to error model of INS, state equation of INS/GNSS integrated navigation can be written as Based on (2) and (5), the information fusion of INS/GNSS integrated navigation can be accomplished by Kalman filter usually. However, satellite signals of GNSS are subject to be influenced during the navigation process, and noise statistics characteristics of GNSS are probably uncertain or variational, which will lower the accuracy of Kalman filter obviously [5]. So the following simplified Sage-Husa self-adaptive filtering algorithm is taken as the information fusion algorithm in INS/GNSS integrated navigation.

SAR is a sort of imaging radar with high resolution.Among its wide-range applications, SAR mounted on the aircraft can realize navigation function by image processing and matching technology. At present, SAR can output the latitude and longitude of the position of the aircraft, and its accuracy reaches several dozens meters.

In matching navigation of SAR, antenna attitude errors of SAR are the main error sources. Thus antenna attitude errors of SAR must be considered and modeled. Once SAR is mounted on the aircraft, its antenna attitude errors usually can be

considered as random constant. So antenna attitude errors If/i can be modeled as follows.

Barometric altimeter (BA) is a sort of precise equipment for measuring the altitude. It can calculate the altitude of the carrier by measuring the barometric value. By analyzing work principle and actual output data of BA, it is found that altitude error of BA is subject to be influenced by environment temperature and wind power [6], and it can be described as the combination of random walk and white noise. So altitude error of BA can be modeled as follow.

As the traditional navigation system can’t satisfy the requirements of the navigating position of the Autonomous Underwater Vehicles(AUV),especially in the long time and long range travel. Based on the practical thing and the developments of navigation technique,we design the Integrated Navigation System of the AUV in this paper. Using timing introducing GPS navigation information,we solve the question of the positional error accumulated with the time due to strapdown inertial navigation system(SINS) and doppler Navigation System.And by means of simulation study,the result indicates that the design method in this paper is proper,which can increase the positioning accuracy of UA V in the long time and long range travel.

The main research work is done as follows:

Design the strapdown inertial navigation system of AUV. The basic navigation algorithm of SINS is inferenced detailedly.We make the formula derivation of the basic position, speed and attitude of the strapdown inertial navigation,and analysis the error characteristics of SINS systematically.And at the same time we establish its error model equation. Research the composition of GPS,the basic principle of navigation position一setting,and the analysis of data error.Aimed at the different error source,this paper establish the variant basic error model.This paper detailedly Introduce the Doppler velometer, electric gyrocompass and strapdown flux一gate azimuth finder,and so on,which compose the Doppler navigation system.Research the operating principle and error source of the subsystem. Deduce the error formula,and establish its error model.

Design of the Integrated Navigation system of AUV. Based on the various

navigation system error,aimed at the navigation characteristic in the long time and long range travel,by means of the vehicle receiving the GPS Navigation information by timing rise,we design the Integrated Navigation System.The simulation result shows that after timing introducing GPS Navigation information this navigation system can increase the positioning accuracy evidently,and overcome the question of the positional error accumulated with the of time in SINS/DVL Integrated Navigation.

Simulation result figures show that, INS/GNSS/SARIBA integrated navigation method based on self-adaptive filter realizes high accuracy and excellent reliability. Figure 2 shows that, position accuracy of INS/GNSS/SARIBA integrated navigation reaches ±11.6m. Figure 3 shows that, the heading, pitch and roll accuracy of integrated navigation all reach ±0.52'. Figures 4 shows that, velocity accuracy of integrated navigation reaches ±0.14m/s. According to the above simulation result figures, it can also be found that, although noise statistics characteristics of navigation equipments are variational obviously in the navigation process, INS/GNSS/SARIBA integrated navigation based on self-adaptive filter still achieves high and stable accuracy. So it can be concluded that, INS/GNSS/SARIB integrated navigation based on self-adaptive filter not only has high accuracy, but also has excellent reliability and anti-interference capability.

基于自适应滤波器的组合导航信息融合

摘要——本文讲述的是为了实现精度高和优秀的导航系统的可靠性,信息融合技术基于自适应滤波器的组合导航研究。惯性导航系统(INS),全球导航卫星系统(GPS),合成孔径雷达(SAR)和气压测高计(BA)是采取来构造INS / GNNS / SARIBA集成航系统。INS被视为主要的导航设备,和其他系统辅助导航设备。首先,INS的误差,GNNS,SAR和英航建模和系统状态的选择组合导航。基于自适应滤波器算法输出信息的INS和GNSS融合在INS / GNNS/INS组合导航滤波器和输出信息,特别行政区和英航融合在INS / SARIBA组合导航滤波器然后联邦滤波器框架设计,估计系统状态的INS / GPS和INS / SAR/IBA当地的过滤器融合一次更多的在独立性的主过滤器。因此全球系统状态的最优估计,由主过滤器,用来纠正错误Ins。模拟结果显示那位置精度的INS / GPS / SAR/IBA集成导航到达±1 l.6m,态度精度达到±0.52.速度精度达到±0.14 m / s,其可靠性是非常优秀的,当噪声统计数据一些设备变分的特征导航过程。

关键字——信息融合,组合导航,自我自适应滤波器、惯性导航系统、全球导航卫星系统、合成孔径雷达、气压测高计。

一绪论

导航系统的精度和可靠性是越来越重要的现代飞行任务。基于信息集成导航技术融合是提高准确性和一个可用的方法导航系统的可靠性。通过融合导航信息从各种导航设备,组合导航可以充分利用每个非类似的导航子系统。基于维纳滤波,卡尔曼过滤,自适应过滤和其他信息融合技术,最优的估计导航参数可以获得。目前,惯性导航系统(INS)是广泛应用于航天、航空等领域。它有很强的抗干扰能力,可以提供位置,态度、速度和其他的参数。但它的错误积累与导航。全球导航卫星系统(GPS),最精确的导航系统世界,但GPS卫星信号的主题干扰或屏蔽。同样,其他现代导航系统也有几个缺点。然而,准确性,可靠性和抗干扰能力的导航对现代系统变得越来越重要飞机。为了实现更高的准确性和更优秀的性能,有必要充分利用每个导航系统的信息融合技术。GPS /INS,合成孔径雷达(SAR)和气压测高计(BA)是采取来构造INS / GPS / SAR/IBA集成导航系统通过信息融合技术。INS被认为作为主要的导航设备,和其他系统辅助导航设备。噪声统计特性这些辅助导航设备可能是不确定的或在导航过程中变分,卡尔曼滤波的精度低,因此自适应过滤器采用集成设计当地过滤器导航。为了获得全局最优估计系统状态,联邦过滤器框架和全局最优信息融合算法设计。因此,高准确性,可靠性强,抗干扰好功能实现在INS / GPS / SAR/IBA集成导航系统。

在这个组合导航系统,East-North-Up地理坐标是选为导航坐标。INS /GPS/ SAR和英航都安装在飞机。INS输出位置、速度和态度的飞机,GPS输出位置和速度,特别行政区输出位置的纬度和经度,英航输出的高度。错误的INS/GPS /SAR和英航选择作为组合导航的系统状态。的不同位置输出INS和GPS,速度输出INS和GPS的区别被测量的INS / GPS集成导航。同时,之间的区别位置输的INS和特别行政区,区别之间高度INS和英航作为输出测量的INS / SAR/IBA 组合导航。然后两个测量被发送到相应的地方过滤器,和两个地方得到系统状态的估计信息融合算法。两个地方估计发送到主编档人员,然后全局最优估计系统状态的主过滤器由全球最优融合算法。最后,全球最优INS的估计是用来纠正错

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RLS算法的自适应滤波器MATLAB仿真作业

RLS 自适应滤波器仿真作业 工程1班220150820 王子豪 1. 步骤 1)令h M(-1)=0,计算滤波器的输出d(n)=X M T=h M(n-1); 2)计算误差值e M(n)=d(n)-d(n,n-1); 3)计算Kalman增益向量K M(n); 4)更新矩阵的逆R M-1(N)=P M(N); 5)计算h M(n)=h M(n-1)+K M(n)e M(n); 2. 仿真 RLS 中取T (-1)=10,λ=1及λ= 0.98; 信号源x(n)与之前LMS算法仿真不变,对自适应滤波器采用RLS算法。通过对比不同遗忘因子λ的情况下RLS的误差收敛情况。取λ=0.98和λ=1两种情况下的性能曲线如图1所示。 其系数收敛情况如图2所示。

图1 不同λ值下的RLS算法性能曲线(100次实验平均) 图2 不同λ值下的RLS算法系数收敛情况(100次实验平均)

3. 结果分析 RLS算法在算法的稳态阶段、即算法的后期收敛阶段其性能和LMS算法相差不明显。但在算法的前期收敛段,RLS算法的收敛速度要明显高于LMS算法。但是RLS算法复杂度高,计算量比较大。 遗忘因子λ越小,系统的跟踪能力越强,同时对噪声越敏感;其值越大,系统跟踪能力减弱,但对噪声不敏感,收敛时估计误差也越小。 4. Matlab程序 clear; clc; N=2048; %信号的取样点数 M=2;%滤波器抽头的个数 iter=500;%迭代次数 %初始化 X_A=zeros(M,1); %X数据向量 y=zeros(1,N); %预测输出 err=zeros(1,iter); %误差向量 errp=zeros(1,iter); %平均误差 wR=zeros(M,iter); %每一行代表一次迭代滤波器的M个抽头参数 T=eye(M,M)*10; %RLS算法下T参数的初始化,T初始值为10 X=zeros(1,M); lamuta=0.98 ; %遗忘因子 for j=1:100 ex=randn(1,N); %噪声信号e(n) x=filter(1,[1,-1.6,0.8],ex);%经过系统H(Z)之后输出x d=x; %参考信号 for k=(M+1):iter-1

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