CN109343095B - Vehicle-mounted navigation vehicle combined positioning device and combined positioning method thereof - Google Patents
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Abstract
本发明公开了一种车载导航车辆组合定位装置及其组合定位方法,包括MCU组合导航计算模块、GNSS模块以及经MCU组合导航计算模块计算获得的定位输出,还包括车轮轮速脉冲计数器,由车轮轮速脉冲计数器和GNSS模块共同组合输入至MCU组合导航计算模块。定位方法包括读取车轮轮速脉冲数,获得轮速脉冲输入;利用轮速脉冲数递推计算位置,判断是否读入GNSS数据,以读入GNSS数据作为条件,读入可靠的GNSS数据;获得定位输出及误差修正等步骤。降低系统使用成本,提高定位可靠有效性,可得到与原来INS/GNSS组合同样效果,可靠性更好,减少了INS模块,有效地降低成本。
The invention discloses a vehicle-mounted navigation vehicle combined positioning device and a combined positioning method, comprising an MCU integrated navigation calculation module, a GNSS module, and a positioning output calculated by the MCU integrated navigation calculation module, and also includes a wheel wheel speed pulse counter, which is composed of a wheel speed pulse counter. The wheel speed pulse counter and the GNSS module are combined and input to the MCU integrated navigation calculation module. The positioning method includes reading the wheel speed pulse number to obtain the wheel speed pulse input; using the wheel speed pulse number to calculate the position recursively, judging whether to read in the GNSS data, and reading in the reliable GNSS data with the read in GNSS data as the condition; Positioning output and error correction and other steps. Reduce the cost of system use, improve the reliability and effectiveness of positioning, and can obtain the same effect as the original INS/GNSS combination, with better reliability, reduce INS modules, and effectively reduce costs.
Description
技术领域technical field
本发明涉及一种车载导航定位装置及车辆定位方法,尤其是涉及一种和GNSS组合的车载导航车辆组合定位装置及其组合定位方法。The invention relates to a vehicle-mounted navigation and positioning device and a vehicle positioning method, in particular to a vehicle-mounted navigation vehicle combined positioning device and a combined positioning method combined with GNSS.
背景技术Background technique
车辆定位系统是目前汽车智能化,网络化不可缺少的部分,目前定位采用最多有惯性导航系统(Inertia Navigation System,INS)、全球导航卫星系统(GlobalNavigation Satellite System,GNSS)定位、图像或激光雷达等的定位与制图(SLAM)等,这些导航设备都单独完成定位,但各有优缺点,精度和成本也不大相同。靠单一导航系统很难满足要求,不仅在技术上难度很大,而且在实际应用中出现不同缺陷,无法满足系统要求。一般采用组合式导航,比如INS/GNSS组合、INS/GNSS/车辆里程计的组合、INS/GNSS/里程计/SLAM组合等。这些导航定位系统用于智能驾驶各个阶段。对于车辆来说,除了精度,最主要的是可靠性和成本要求。The vehicle positioning system is an indispensable part of the current car's intelligence and networking. At present, the most common positioning methods are Inertia Navigation System (INS), Global Navigation Satellite System (GNSS) positioning, image or lidar, etc. These navigation devices complete positioning independently, but each has its own advantages and disadvantages, and the accuracy and cost are not the same. It is difficult to meet the requirements by a single navigation system, which is not only technically difficult, but also has different defects in practical applications, which cannot meet the system requirements. Generally, combined navigation is used, such as INS/GNSS combination, INS/GNSS/vehicle odometer combination, INS/GNSS/odometer/SLAM combination, etc. These navigation and positioning systems are used in all phases of intelligent driving. For vehicles, in addition to accuracy, the most important are reliability and cost requirements.
而目前通用车载组合导航计算框图为采用INS模块50、GNSS模块20及里程计60共同组合进行MCU组合导航计算模块10后得到导航定位输出40(见图3);其中INS是惯性测量导航系统,是由三轴加速度传感器和三轴陀螺组成,一般采用低成本的MEMS传感器以及相应的数据信号处理电路。可以三轴加速度和角速度以及积分后的位置、速度以及姿态等参数.由于惯性传感器的零位漂移误差造成积分得到参数随时间累计误差很大。但是属于自主导航,不受天气遮挡等影响,抗干扰能力强;而GNSS模块为全球导航卫星系统接受模块,通常GNSS包括:GPS、GLONASS、欧盟GALILEO和中国北斗卫星导航系统接收机模块以及高精度的时时载波相位差分接收机系统RTK等;GNSS可以有效给出位置、速度、或航向等定位信息;但是由于这些定位信息是通过卫星信号得到,存在着容易在隧道、地下车库以及树木、房屋遮挡的场合影响下而导致丢失信号,无法有效获得定位信息缺陷。而里程计是测量车辆本身的车速装置,是由轮速处理后得到的,是由ESP或ABS计算得到的,在车辆CAN网络内传输,因而在这里里程计也属于辅助INS。组合导航计算后最后输出可以给出车辆的位置速度与姿态等信息。该系统认为目前最理想的导航模式,各系统优劣势得到一定程度上的互补。然而也还存在着系统使用成本高,可靠性会因受特定环境影响而降低定位准确可靠性。The current general vehicle integrated navigation calculation block diagram is to use the
发明内容SUMMARY OF THE INVENTION
本发明为解决现有车载组合导航系统存在着系统使用成本高,可靠性会因受特定环境影响而降低导航定位准确可靠性等现状而提供的一种可降低系统使用成本,提高定位可靠有效性,基于轮速脉冲计数器和GNSS模块的车载导航车辆组合定位装置及其组合定位方法。In order to solve the current situation of the existing vehicle integrated navigation system that the system has high use cost, and the reliability will be affected by a specific environment, the accuracy and reliability of navigation and positioning will be reduced. , Based on wheel speed pulse counter and GNSS module combined positioning device and combined positioning method of vehicle navigation vehicle.
本发明为解决上述技术问题所采用的具体技术方案为:一种车载导航车辆组合定位装置,包括MCU组合导航计算模块、GNSS模块以及经MCU组合导航计算模块计算获得的定位输出,其特征在于:还包括车轮轮速脉冲计数器,由车轮轮速脉冲计数器和GNSS模块共同组合输入至MCU组合导航计算模块。降低系统使用成本,提高定位可靠有效性,基于轮速脉冲计数器和GNSS模块进行定位组合。可得到与原来INS/GNSS组合同样效果,可靠性更好,减少了INS模块,有效地降低成本。The specific technical solution adopted by the present invention to solve the above-mentioned technical problems is as follows: a vehicle-mounted navigation vehicle integrated positioning device, comprising an MCU integrated navigation calculation module, a GNSS module and a positioning output obtained by calculation by the MCU integrated navigation calculation module, and is characterized in that: It also includes a wheel wheel speed pulse counter, which is combined and input to the MCU integrated navigation calculation module by the wheel wheel speed pulse counter and the GNSS module. Reduce the cost of system use, improve the reliability and effectiveness of positioning, and combine positioning based on wheel speed pulse counter and GNSS module. The same effect as the original INS/GNSS combination can be obtained, the reliability is better, the INS module is reduced, and the cost is effectively reduced.
作为优选,所述的车轮轮速脉冲计数器采用安装在车辆四个车轮上测量车辆旋转一圈的脉冲个数的车轮轮速计数器。提高组合定位输出可靠稳定性及准确性。Preferably, the wheel wheel speed pulse counter is a wheel wheel speed counter installed on the four wheels of the vehicle to measure the number of pulses in one revolution of the vehicle. Improve the reliable stability and accuracy of combined positioning output.
本发明的另一个发明目的在于提供一种车载导航车辆组合定位方法,其特征在于:采用上述技术方案之一所述的组合定位装置,基于车轮轮速脉冲计数器和GNSS模块组合导航计算模块计算获得的定位输出;包括如下组合定位流程Another object of the present invention is to provide an on-board navigation vehicle combined positioning method, which is characterized in that: using the combined positioning device described in one of the above technical solutions, based on the wheel wheel speed pulse counter and the GNSS module combined navigation calculation module to calculate and obtain The positioning output of ; including the following combined positioning process
a读取车轮轮速脉冲数,获得轮速脉冲输入;也即在单位时间内读取车辆后边左右两车轮轮速脉冲数增量,表示车辆单位时间内行驶的路程,车辆前面两个车轮轮速脉冲计数器,一般作为备份使用;a Read the number of wheel speed pulses, and obtain the wheel speed pulse input; that is, read the increment of the number of wheel speed pulses of the left and right wheels behind the vehicle within a unit time, indicating the distance traveled by the vehicle per unit time, and the two wheels in front of the vehicle. Speed pulse counter, generally used as backup;
b利用轮速脉冲数递推计算车辆的位置,采用计算公式为:b Use the wheel speed pulse number to calculate the position of the vehicle recursively. The calculation formula is as follows:
上述计算公式中的各符号字母含义分别为:The meaning of each symbol letter in the above calculation formula is:
下标k表示当前时刻,k-1为前一时刻;The subscript k represents the current moment, and k-1 is the previous moment;
当前时刻纬度,前一时刻纬度; Latitude of the current time, the latitude of the previous moment;
Lk当前时刻经度,Lk-1前一时刻经度;The longitude of the current moment of L k , the longitude of the previous moment of L k-1 ;
ψk当前时刻航向角,即与北方向夹角;ψk-1前一时刻航向角;ψ k is the heading angle at the current moment, that is, the angle with the north direction; ψ k-1 is the heading angle at the previous moment;
Nlk k时刻与k-1时刻左轮轮速脉冲数增较量;Comparing the increase in the number of pulses of the left wheel speed at time N lk k and time k-1;
Nrk k时刻与k-1时刻右轮轮速脉冲数增较量;Comparing the number of right wheel speed pulses at time N rk k and time k-1;
αl为左车轮标称的脉冲刻度,单位是:米/脉冲;α l is the nominal pulse scale of the left wheel, the unit is: m/pulse;
αr为右车轮标称的脉冲刻度,单位是:米/脉冲;α r is the nominal pulse scale of the right wheel, the unit is: m/pulse;
Re为地球半径; Re is the radius of the earth;
lw为车辆后边左右两车轮距离。lw is the distance between the left and right wheels behind the vehicle.
c在步骤b之后,判断是否读入GNSS数据,以读入GNSS数据作为条件,读入可靠的GNSS数据;若读入GNSS数据,则执行下一步骤;c After step b, judge whether to read in GNSS data, take the read in GNSS data as a condition, read in reliable GNSS data; If read in GNSS data, then execute the next step;
d在c步骤时,若未读入GNSS数据,则继续从a步骤读取车轮轮速脉冲数开始执行后续的定位流程步骤。d In step c, if the GNSS data is not read in, continue to read the number of wheel speed pulses from step a to execute the subsequent positioning process steps.
e在步骤c之后,获得定位输出;e After step c, obtain the positioning output;
f在步骤c之后,进行下一步误差计算;f After step c, perform the next error calculation;
g进行误差修正;g for error correction;
h误差修改后,继续返回a步骤重新读取车轮轮速脉冲数开始执行后续的定位流程步骤。After the h error is modified, continue to return to step a to re-read the number of wheel speed pulses and start the subsequent positioning process steps.
由于去掉了惯性导航系统(TNS),降低了数据采样及算法的复杂性,因而可有效降低了成本,也提高整体定位稳定性,避免惯性导航陀螺漂移等问题,由于减少了器件,也提高了产品可靠性;基于两个车轮的轮速脉冲计数器(一般选择车辆后边左右两个车轮的轮速脉冲计数器)与GNSS组合进行定位计算。GNSS模块包括:GPS、GLONASS、欧盟GALILEO和中国北斗卫星导航系统接收机模块以及高精度的时时载波相位差分接收机系统RTK等。Since the inertial navigation system (TNS) is removed, the complexity of data sampling and algorithms is reduced, which can effectively reduce the cost, improve the overall positioning stability, and avoid problems such as inertial navigation gyro drift. Product reliability; based on the wheel speed pulse counters of the two wheels (usually select the wheel speed pulse counters of the left and right wheels behind the vehicle) and the GNSS combination for positioning calculation. GNSS modules include: GPS, GLONASS, EU GALILEO and China Beidou satellite navigation system receiver modules and high-precision time-to-time carrier-phase differential receiver system RTK, etc.
作为优选,所述的误差计算步骤包括如下步骤Preferably, the error calculation step includes the following steps
4-a系统建立步骤;4-a System establishment steps;
建立系统误差状态方程如下:The system error state equation is established as follows:
Xk=Fk-1Xk-1+wk X k =F k-1 X k-1 +w k
其中:in:
Xk为状态变量矩阵, X k is the state variable matrix,
为纬度误差; is the latitude error;
ΔLk为经度误差;ΔL k is the longitude error;
Δαlk为左车轮脉冲刻度误差,单位:米/脉冲;Δα lk is the left wheel pulse scale error, unit: m/pulse;
Δαrk为右车轮脉冲刻度误差,单位:米/脉冲;Δα rk is the right wheel pulse scale error, unit: m/pulse;
Fk-1为状态变量转移矩阵,如下:F k-1 is the state variable transition matrix, as follows:
这里:here:
为前一时刻纬度; is the latitude of the previous moment;
ψk为当前时刻航向角,即与北方向夹角;ψk-1前一时刻航向角;ψ k is the heading angle at the current moment, that is, the angle with the north direction; ψ k-1 is the heading angle at the previous moment;
Nlk为k时刻与k-1时刻左轮轮速脉冲数增较量;N lk is the increase in the number of left wheel speed pulses at time k and time k-1;
Nrk为k时刻与k-1时刻右轮轮速脉冲数增较量;N rk is the increase in the number of wheel speed pulses of the right wheel at time k and time k-1;
αl为左车轮标称的脉冲刻度,单位是:米/脉冲;α l is the nominal pulse scale of the left wheel, the unit is: m/pulse;
αr为右车轮标称的脉冲刻度,单位是:米/脉冲;α r is the nominal pulse scale of the right wheel, the unit is: m/pulse;
Re为地球半径; Re is the radius of the earth;
lw为车辆后边左右两车轮距离。lw is the distance between the left and right wheels behind the vehicle.
wk是服从正态分布的高斯白噪声。其满足:w k is Gaussian white noise that obeys a normal distribution. It satisfies:
均值E(wk)=0Mean E(w k )=0
协方差Cov(wi,wj)=QkδijCovariance Cov( wi , w j )=Q k δij
Qk噪声方差矩阵Q k noise variance matrix
4-b建立误差计算中的量测方程:4-b Establish the measurement equation in the error calculation:
Zk=HkXk+vk Z k =H k X k +v k
其中:Zk为观测矩阵 Where: Z k is the observation matrix
为GNSS测得到的纬度; is the latitude measured by GNSS;
LkG为GNSS测得到的经度;L kG is the longitude measured by GNSS;
为当前时刻轮速计算的纬度; The latitude calculated for the wheel speed at the current moment;
Lk为当前时刻轮速计算的经度;L k is the longitude calculated by the wheel speed at the current moment;
Hk为转置矩阵, H k is the transposed matrix,
vk是GNSS测得值的高斯白噪声,服从正态分布v k is the Gaussian white noise of the GNSS measured value, which is normally distributed
均值:E(vk)=0Mean: E(v k )=0
协方差:Cov(vi,vj)=RδijCovariance: Cov(v i , v j )=Rδij
R测量噪声矩阵。R measures the noise matrix.
δij是克罗内克函数 δij is the Kronecker function
i,j分别代表i和j时刻。i, j represent time i and j, respectively.
4-c根据系统状态方程和量测方程,实施如下误差计算步骤4-c According to the system state equation and measurement equation, implement the following error calculation steps
4-c-1状态变量预测预测。4-c-1 State variable prediction prediction.
状态变量预测方程描述如下:The state variable prediction equation is described as follows:
Xk/k-1=Fk-1Xk-1 X k/k-1 =F k-1 X k-1
4-c-2状态变量的协方差预测4-c-2 Covariance Prediction of State Variables
协方差的预测方程描述如下:The prediction equation for covariance is described as follows:
4-c-3增益计算4-c-3 Gain Calculation
滤波增益矩阵计算如下:The filter gain matrix is calculated as follows:
4-c-4状态变量参数最优估计4-c-4 Optimal estimation of state variable parameters
本案状态变量参数最优估计,即误差计算如下:The optimal estimation of the state variable parameters in this case, that is, the error calculation is as follows:
Xk=Xk/k-1+Kk[Zk-HkXk/k-1]X k =X k/k-1 +K k [Z k -H k X k/k-1 ]
4-c-5本案状态变量协方差估计如下:4-c-5 The state variable covariance estimation in this case is as follows:
Pk=[I-KkHk]Pk/k-1 P k =[IK k H k ]P k/k-1
对上面5个公式参数解释如下:The above five formula parameters are explained as follows:
下标k为当前时刻,k-1为k前一时刻;The subscript k is the current moment, and k-1 is the previous moment of k;
上标T为矩阵转置标记;The superscript T is the matrix transpose mark;
Xk/k-1是根据k-1时刻状态变量预测k时刻状态变量;X k/k-1 is to predict the state variable at time k according to the state variable at time k-1;
Fk-1为目标实体运动状态矩阵;F k-1 is the motion state matrix of the target entity;
Xk-1为在k-1时刻状态变量矩阵;X k-1 is the state variable matrix at time k-1;
Hk为转置矩阵;H k is the transposed matrix;
Pk-1为k-1时刻状态变量的协方差矩阵,是个4X4阶矩阵;P k-1 is the covariance matrix of the state variable at time k-1, which is a 4X4 order matrix;
Pk/k-1为根据k-1时刻状态变量的协方差矩阵预估的k时刻状态变量的协方差矩阵;P k/k-1 is the covariance matrix of the state variable at time k estimated according to the covariance matrix of the state variable at time k-1;
Pk为k时刻状态变量的协方差矩阵,是个4X4阶矩阵;P k is the covariance matrix of the state variable at time k, which is a 4X4 order matrix;
Qk为噪声方差矩阵;Q k is the noise variance matrix;
R为测量噪声矩阵;R is the measurement noise matrix;
I为4X4阶单位矩阵。I is an identity matrix of order 4X4.
本案采用间接卡尔曼滤波算法,随时估计出轮胎标定误差,提高车辆定位精度,提高误差计算精度,提高组合定位准确性。In this case, the indirect Kalman filter algorithm is used to estimate the tire calibration error at any time, improve the vehicle positioning accuracy, improve the error calculation accuracy, and improve the combined positioning accuracy.
作为优选,所述的误差修正步骤计算如下,Preferably, the error correction step is calculated as follows,
为修正后的k时刻纬度; is the corrected latitude at time k;
为修正后的k时刻经度; is the corrected longitude at time k;
为修正会后的左车轮脉冲刻度误差; In order to correct the left wheel pulse scale error after the meeting;
为修正会后的左车轮脉冲刻度误差; In order to correct the left wheel pulse scale error after the meeting;
修正结果,作为后一步骤循环的初始值。The correction result is used as the initial value for the next step loop.
提高误差修正有效性,为进一步循环组合定位计算提供更准确有效的初始数据。修正后输出,作为最终结果,为车辆定位最佳估计,提高传感器定位精度.避免单一传感器定位的缺点。Improve the effectiveness of error correction and provide more accurate and effective initial data for further cyclic combined positioning calculations. The corrected output, as the final result, is the best estimate for the vehicle positioning, improving the positioning accuracy of the sensor, avoiding the shortcomings of single sensor positioning.
作为优选,所述的定位输出为输出最佳位置,如经度和纬度。提高输出最佳位置的准确性。Preferably, the positioning output is to output the best position, such as longitude and latitude. Improve the accuracy of outputting the best position.
本发明的有益效果是:由于去掉了惯性导航系统(TNS),因而可有效降低了成本,也提高整体定位稳定性,避免惯性导航陀螺漂移等问题,由于减少了器件,也提高了产品可靠性;降低系统使用成本,提高定位可靠有效性,基于轮速脉冲计数器和GNSS模块进行定位组合。可得到与原来INS/GNSS组合同样效果,可靠性更好,减少了INS模块,有效地降低成本。采用车辆上自带的四个车轮输出的轮速脉冲计速器与GNSS组合,替代INS/GNSS/车辆里程计的组合。在现在车辆中,每个轮子都装有轮速脉冲计数器,用于测量轮子转速和转过角度。这些脉冲计数器精度高而且可靠性高,主要用于车辆ABS或ESP。本方案采用车辆后边左右两轮轮速脉冲计数器与GNSS组合完成组合导航任务,轮速脉冲计数器是安装在车辆上四个车轮轮速计数器,通过测量车辆旋转一圈的脉冲个数。得到每个车轮行驶的路程。在车辆上四个车轮都安装有轮速脉冲计数器,一直用于ABS,ESP等应用,本案通过车辆后边左右两个车轮的轮速脉冲计数器得到两个车轮的行使路程,递推得到车辆位置,然后与GNSS组合。得到与原来INS/GNSS组合同样效果,可靠性更好。减少了INS模块,有效地降低成本。所以四轮脉冲计数器就有车辆前边左右两轮轮速脉冲计数器冗余。由于去掉了INS,本方案大大降低了成本。The beneficial effects of the present invention are: because the inertial navigation system (TNS) is removed, the cost can be effectively reduced, the overall positioning stability is also improved, the problems such as inertial navigation gyro drift are avoided, and the product reliability is also improved due to the reduction of components. ; Reduce the cost of system use, improve the reliability and effectiveness of positioning, and perform positioning combination based on wheel speed pulse counter and GNSS module. The same effect as the original INS/GNSS combination can be obtained, the reliability is better, the INS module is reduced, and the cost is effectively reduced. The wheel speed pulse tachometer and GNSS output from the four wheels on the vehicle are used to replace the combination of INS/GNSS/vehicle odometer. In today's vehicles, each wheel is equipped with a wheel speed pulse counter, which measures the wheel speed and turning angle. These pulse counters are highly accurate and reliable and are mainly used in vehicle ABS or ESP. This solution uses the combination of the left and right wheel speed pulse counters at the rear of the vehicle and GNSS to complete the integrated navigation task. The wheel speed pulse counters are four wheel speed counters installed on the vehicle, which measure the number of pulses in one revolution of the vehicle. Get the distance traveled by each wheel. Wheel speed pulse counters are installed on all four wheels of the vehicle, which have been used in ABS, ESP and other applications. In this case, the driving distance of the two wheels is obtained through the wheel speed pulse counters of the left and right wheels at the rear of the vehicle, and the vehicle position is obtained recursively. Then combine with GNSS. Get the same effect as the original INS/GNSS combination, with better reliability. Reduced INS modules, effectively reducing costs. Therefore, the four-wheel pulse counter has the redundancy of the left and right wheel speed pulse counters in front of the vehicle. Since the INS is removed, this scheme greatly reduces the cost.
附图说明:Description of drawings:
下面结合附图和具体实施方式对本发明做进一步的详细说明。The present invention will be further described in detail below with reference to the accompanying drawings and specific embodiments.
图1是本发明一种车载导航车辆组合定位装置的结构示意图。FIG. 1 is a schematic structural diagram of a vehicle-mounted navigation vehicle combined positioning device according to the present invention.
图2是本发明车载导航车辆组合定位方法的组合定位计算流程框图示意图。FIG. 2 is a schematic block diagram of a combined positioning calculation flow chart of the combined positioning method of the vehicle-mounted navigation vehicle of the present invention.
图3是现有技术中车载导航车辆组合定位装置的结构示意图。FIG. 3 is a schematic structural diagram of a vehicle-mounted navigation vehicle combined positioning device in the prior art.
具体实施方式Detailed ways
实施例1:Example 1:
图1所示的实施例中,一种车载导航车辆组合定位装置,包括MCU组合导航计算模块10、GNSS模块20以及经MCU组合导航计算模块计算获得的定位输出40,还包括车轮轮速脉冲计数器30,由车轮轮速脉冲计数器30和GNSS模块20共同组合输入至MCU组合导航计算模块10。In the embodiment shown in FIG. 1, a vehicle-mounted navigation vehicle integrated positioning device includes an MCU integrated
车轮轮速脉冲计数器30采用安装在车辆四个车轮上测量车辆旋转一圈的脉冲个数的车轮轮速计数器。The wheel wheel
实施例2:Example 2:
图2所示的实施例中,一种车载导航车辆组合定位方法,采用实施例1所述的组合定位装置,基于车轮轮速脉冲计数器和GNSS模块组合导航计算模块计算获得的定位输出;包括如下组合定位流程:In the embodiment shown in FIG. 2 , a combined positioning method for an on-board navigation vehicle adopts the combined positioning device described in Embodiment 1, based on the positioning output calculated by the wheel wheel speed pulse counter and the GNSS module combined navigation calculation module; including the following Combined positioning process:
a读取车轮轮速脉冲数,获得轮速脉冲输入01;也即在单位时间内读取车辆后边左右两车轮轮速脉冲数增量,表示车辆单位时间内行驶的路程,车辆前面两个车轮轮速脉冲计数器,一般作为备份使用;a Read the number of wheel speed pulses, and obtain the wheel
b利用轮速脉冲数递推计算车辆的位置02,采用计算公式为:b Use the wheel speed pulse number to recursively calculate the
上述计算公式中的各符号字母含义分别为:The meaning of each symbol letter in the above calculation formula is:
下标k表示当前时刻,k-1为前一时刻;The subscript k represents the current moment, and k-1 is the previous moment;
当前时刻纬度,前一时刻纬度; Latitude of the current time, the latitude of the previous moment;
Lk当前时刻经度,Lk-1前一时刻经度;The longitude of the current moment of L k , the longitude of the previous moment of L k-1 ;
ψk当前时刻航向角,即与北方向夹角;ψk-1前一时刻航向角;ψ k is the heading angle at the current moment, that is, the angle with the north direction; ψ k-1 is the heading angle at the previous moment;
Nlk k时刻与k-1时刻左轮轮速脉冲数增较量;Comparing the increase in the number of pulses of the left wheel speed at time N lk k and time k-1;
Nrk k时刻与k-1时刻右轮轮速脉冲数增较量;Comparing the number of right wheel speed pulses at time N rk k and time k-1;
αl为左车轮标称的脉冲刻度,单位是:米/脉冲;α l is the nominal pulse scale of the left wheel, the unit is: m/pulse;
αr为右车轮标称的脉冲刻度,单位是:米/脉冲;α r is the nominal pulse scale of the right wheel, the unit is: m/pulse;
Re为地球半径; Re is the radius of the earth;
lw为车辆后边左右两车轮距离。lw is the distance between the left and right wheels behind the vehicle.
c在步骤b之后,判断是否读入GNSS数据03,以读入GNSS数据作为条件,读入可靠的GNSS数据;若读入GNSS数据,则执行下一步骤;c, after step b, judge whether to read in
d在c步骤时,若未读入GNSS数据,则继续从a步骤读取车轮轮速脉冲数开始执行后续的定位流程步骤。d In step c, if the GNSS data is not read in, continue to read the number of wheel speed pulses from step a to execute the subsequent positioning process steps.
e在步骤c之后,获得定位输出04,定位输出为输出最佳位置,如经度和纬度;e After step c, obtain the
f在步骤c之后,进行下一步误差计算05;f After step c, carry out the
g进行误差修正06;g for
h误差修改后,继续返回a步骤重新读取车轮轮速脉冲数开始执行后续的定位流程步骤。After the h error is modified, continue to return to step a to re-read the number of wheel speed pulses and start the subsequent positioning process steps.
误差计算步骤包括如下步骤:The error calculation step includes the following steps:
4-a系统建立步骤;4-a System establishment steps;
建立系统误差状态方程如下:The system error state equation is established as follows:
Xk=Fk-1Xk-1+wk X k =F k-1 X k-1 +w k
其中:in:
Xk为状态变量矩阵, X k is the state variable matrix,
为纬度误差; is the latitude error;
ΔLk为经度误差;ΔL k is the longitude error;
Δαlk为左车轮脉冲刻度误差,单位:米/脉冲;Δα lk is the left wheel pulse scale error, unit: m/pulse;
Δαrk为右车轮脉冲刻度误差,单位:米/脉冲;Δα rk is the right wheel pulse scale error, unit: m/pulse;
Fk-1为状态变量转移矩阵,如下:F k-1 is the state variable transition matrix, as follows:
这里:here:
为前一时刻纬度; is the latitude of the previous moment;
ψk为当前时刻航向角,即与北方向夹角;ψk-1前一时刻航向角;ψ k is the heading angle at the current moment, that is, the angle with the north direction; ψ k-1 is the heading angle at the previous moment;
Nlk为k时刻与k-1时刻左轮轮速脉冲数增较量;N lk is the increase in the number of left wheel speed pulses at time k and time k-1;
Nrk为k时刻与k-1时刻右轮轮速脉冲数增较量;N rk is the increase in the number of right wheel speed pulses at time k and time k-1;
αl为左车轮标称的脉冲刻度,单位是:米/脉冲;α l is the nominal pulse scale of the left wheel, the unit is: m/pulse;
αr为右车轮标称的脉冲刻度,单位是:米/脉冲;α r is the nominal pulse scale of the right wheel, the unit is: m/pulse;
Re为地球半径; Re is the radius of the earth;
lw为车辆后边左右两车轮距离。lw is the distance between the left and right wheels behind the vehicle.
wk是服从正态分布的高斯白噪声。其满足:w k is Gaussian white noise that obeys a normal distribution. It satisfies:
均值E(wk)=0Mean E(w k )=0
协方差Cov(wi,wj)=QkδijCovariance Cov( wi , w j )=Q k δij
Qk噪声方差矩阵Q k noise variance matrix
4-b建立误差计算中的量测方程:4-b Establish the measurement equation in the error calculation:
Zk=HkXk+vk Z k =H k X k +v k
其中:Zk为观测矩阵 Where: Z k is the observation matrix
为GNSS测得到的纬度; is the latitude measured by GNSS;
LkG为GNSS测得到的经度;L kG is the longitude measured by GNSS;
为当前时刻轮速计算的纬度; The latitude calculated for the wheel speed at the current moment;
Lk为当前时刻轮速计算的经度;L k is the longitude calculated by the wheel speed at the current moment;
Hk为转置矩阵, H k is the transposed matrix,
vk是GNSS测得值的高斯白噪声,服从正态分布v k is the Gaussian white noise of the GNSS measured value, which is normally distributed
均值:E(vk)=0Mean: E(v k )=0
协方差:Cov(vi,vj)=RδijCovariance: Cov(v i , v j )=Rδij
R测量噪声矩阵。R measures the noise matrix.
δij是克罗内克函数δij is the Kronecker function
i,j分别代表i和j时刻。i, j represent time i and j, respectively.
4-c根据系统状态方程和量测方程,实施如下误差计算步骤4-c According to the system state equation and measurement equation, implement the following error calculation steps
4-c-1状态变量预测预测。4-c-1 State variable prediction prediction.
状态变量预测方程描述如下:The state variable prediction equation is described as follows:
Xk/k-1=Fk-1Xk-1 X k/k-1 =F k-1 X k-1
4-c-2状态变量的协方差预测4-c-2 Covariance Prediction of State Variables
协方差的预测方程描述如下:The prediction equation for covariance is described as follows:
4-c-3增益计算4-c-3 Gain Calculation
滤波增益矩阵计算如下:The filter gain matrix is calculated as follows:
4-c-4状态变重参数最优估计4-c-4 Optimal estimation of state variable weight parameters
本案状态变量参数最优估计,即误差计算如下:The optimal estimation of the state variable parameters in this case, that is, the error calculation is as follows:
Xk=Xk/k-1+Kk[Zk-HkXk/k-1]X k =X k/k-1 +K k [Z k -H k X k/k-1 ]
4-c-5本案状态变量协方差估计如下:4-c-5 The state variable covariance estimation in this case is as follows:
Pk=[I-KkHk]Pk/k-1 P k =[IK k H k ]P k/k-1
对上面5个公式参数解释如下:The above five formula parameters are explained as follows:
下标k为当前时刻,k-1为k前一时刻;The subscript k is the current moment, and k-1 is the previous moment of k;
上标T为矩阵转置标记;The superscript T is the matrix transpose mark;
Xk/k-1是根据k-1时刻状态变量预测k时刻状态变量;X k/k-1 is to predict the state variable at time k according to the state variable at time k-1;
Fk-1为目标实体运动状态矩阵;F k-1 is the motion state matrix of the target entity;
Xk-1为在k-1时刻状态变量矩阵;X k-1 is the state variable matrix at time k-1;
Hk为转置矩阵;H k is the transposed matrix;
Pk-1为k-1时刻状态变量的协方差矩阵,是个4X4阶矩阵;P k-1 is the covariance matrix of the state variable at time k-1, which is a 4X4 order matrix;
Pk/k-1为根据k-1时刻状态变量的协方差矩阵预估的k时刻状态变量的协方差矩阵;P k/k-1 is the covariance matrix of the state variable at time k estimated according to the covariance matrix of the state variable at time k-1;
Pk为k时刻状态变量的协方差矩阵,是个4X4阶矩阵;P k is the covariance matrix of the state variable at time k, which is a 4X4 order matrix;
Qk为噪声方差矩阵;Q k is the noise variance matrix;
R为测量噪声矩阵;R is the measurement noise matrix;
I为4X4阶单位矩阵。I is an identity matrix of order 4X4.
误差修正步骤计算如下:The error correction step is calculated as follows:
为修正后的k时刻纬度; is the corrected latitude at time k;
为修正后的k时刻经度; is the corrected longitude at time k;
为修正会后的左车轮脉冲刻度误差; In order to correct the left wheel pulse scale error after the meeting;
为修正会后的左车轮脉冲刻度误差; In order to correct the left wheel pulse scale error after the meeting;
修正结果,作为后一步骤循环的初始值。The correction result is used as the initial value for the next step loop.
以上内容和结构描述了本发明产品的基本原理、主要特征和本发明的优点,本行业的技术人员应该了解。上述实例和说明书中描述的只是说明本发明的原理,在不脱离本发明精神和范围的前提下,本发明还会有各种变化和改进,这些变化和改进都属于要求保护的本发明范围之内。本发明要求保护范围由所附的权利要求书及其等效物界定。The above content and structure describe the basic principles, main features and advantages of the present invention, which should be understood by those skilled in the art. What is described in the above examples and specification is only to illustrate the principle of the present invention, without departing from the spirit and scope of the present invention, the present invention will also have various changes and improvements, and these changes and improvements all belong to the scope of the claimed invention. Inside. The claimed scope of the present invention is defined by the appended claims and their equivalents.
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