CN116303378A - A method and device for eliminating errors in flight test data - Google Patents
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Abstract
本申请属于试飞数据处理技术领域,特别涉及一种试飞数据误差消除方法及装置。该方法包括步骤S1、获取按时间排序的多个试飞参数组成的试飞数据;步骤S2、基于二阶前推差分算法去除试飞数据中的野值;步骤S3、对去除野值后的试飞数据,采用拉格朗日插值公式对野值所在的试飞参数点进行补正;步骤S4、对补正后的试飞数据进行低通数字滤波。本申请识别、剔除与补正了由于测试仪器工作不稳定,外界干扰,操作人员失误等因素导致的野值,同时使用低通数字滤波滤除了飞行试验数据中的高频成分,使得试验或者试飞数据辨识分析结果更加准确,为工程实际提供精确的参数信息。
The application belongs to the technical field of flight test data processing, and in particular relates to a method and device for eliminating errors in flight test data. The method includes step S1, obtaining flight test data composed of a plurality of flight test parameters sorted by time; step S2, removing outliers in the flight test data based on the second-order forward difference algorithm; step S3, for the flight test data after removing the outliers, The flight test parameter point where the outlier value is located is corrected by using the Lagrangian interpolation formula; step S4, low-pass digital filtering is performed on the corrected flight test data. This application identifies, eliminates and corrects the outliers caused by factors such as unstable test equipment, external interference, and operator errors. At the same time, low-pass digital filtering is used to filter out high-frequency components in the flight test data, making the test or flight test data The identification and analysis results are more accurate, providing accurate parameter information for engineering practice.
Description
技术领域technical field
本申请属于试飞数据处理技术领域,特别涉及一种试飞数据误差消除方法及装置。The present application belongs to the technical field of flight test data processing, and in particular relates to a method and device for eliminating errors in flight test data.
背景技术Background technique
由于飞机系统本身及飞行条件的复杂性,传感器和数据采集系统的非理想性,飞行试验设计的不完善性等众多因素的影响,就使得飞行实测数据中不可避免地含有不确定的随机误差,这些误差会影响对飞行参数判读、分析和使用。使得依据飞行参数作出结论有偏差,甚至错误,因此,在使用飞行实测数据进行工作之前,必须对实测数据进行预处理,以消除测量过程中所引入的各种误差,方便对试验数据进行分析和处理。Due to the influence of many factors such as the complexity of the aircraft system itself and flight conditions, the non-ideality of sensors and data acquisition systems, and the imperfection of flight test design, the actual flight measurement data inevitably contains uncertain random errors. These errors will affect the interpretation, analysis and use of flight parameters. Therefore, before using the actual flight measurement data to work, the actual measurement data must be preprocessed to eliminate various errors introduced during the measurement process, and it is convenient for the analysis and analysis of the test data. deal with.
发明内容Contents of the invention
为了解决上述问题,本申请设计一种试飞数据误差消除方法及装置,用于对飞机系统架构模型验证方法进行了设计,通过数据处理消除测量过程中所引入的各种误差,方便对试验数据进行分析、处理。In order to solve the above problems, this application designs a method and device for eliminating errors in flight test data, which is used to design the aircraft system architecture model verification method, and eliminate various errors introduced in the measurement process through data processing, so as to facilitate the test data. Analysis, processing.
本申请第一方面提供了一种试飞数据误差消除方法,主要包括:The first aspect of the present application provides a method for eliminating flight test data errors, which mainly includes:
步骤S1、获取按时间排序的多个试飞参数组成的试飞数据;Step S1, obtaining flight test data composed of multiple flight test parameters sorted by time;
步骤S2、基于二阶前推差分算法去除试飞数据中的野值;Step S2, removing outliers in the flight test data based on the second-order forward differential algorithm;
步骤S3、对去除野值后的试飞数据,采用拉格朗日插值公式对野值所在的试飞参数点进行补正;Step S3, for the flight test data after removing the outliers, use the Lagrangian interpolation formula to correct the flight test parameter points where the outliers are located;
步骤S4、对补正后的试飞数据进行低通数字滤波。Step S4, performing low-pass digital filtering on the corrected flight test data.
优选的是,步骤S2进一步包括:Preferably, step S2 further includes:
步骤S21、对试飞数据中各个试飞参数的原值,分别计算其修正值;Step S21, calculating the corrected values of the original values of each flight test parameter in the flight test data;
步骤S22、计算所述修正值与原值的差值的绝对值;Step S22, calculating the absolute value of the difference between the correction value and the original value;
步骤S23、若所述绝对值大于等于设定值,则将该试飞参数的原值判定为野值。Step S23, if the absolute value is greater than or equal to the set value, then determine the original value of the flight test parameter as an outlier value.
优选的是,步骤S23中,在计算第k个试飞参数的原值与差值的绝对值时,所述设定值为:Preferably, in step S23, when calculating the absolute value of the original value and the difference of the kth flight test parameter, the set value is:
其中,yi为第i个试飞参数的原值,为第i个试飞参数的修正值。Among them, y i is the original value of the i-th flight test parameter, is the correction value of the i-th flight test parameter.
优选的是,步骤S4进一步包括:Preferably, step S4 further includes:
获取试飞数据实测的采样周期及预设的低通滤波器的截止频率;Obtain the measured sampling period of the flight test data and the preset cut-off frequency of the low-pass filter;
基于matlab的butter函数确定所述低通滤波器的系数矩阵;Determine the coefficient matrix of the low-pass filter based on the butter function of matlab;
基于所述系数矩阵构建滤波器差分方程;constructing a filter difference equation based on the coefficient matrix;
基于所述差分方程对试飞数据中的各个试飞参数进行低通数字滤波。Low-pass digital filtering is performed on each flight test parameter in the flight test data based on the differential equation.
本申请第二方面提供了一种试飞数据误差消除装置,主要包括:The second aspect of the application provides a flight test data error elimination device, mainly including:
试飞数据获取模块,用于获取按时间排序的多个试飞参数组成的试飞数据;The flight test data acquisition module is used to obtain flight test data composed of multiple flight test parameters sorted by time;
野值去除模块,用于基于二阶前推差分算法去除试飞数据中的野值;The outlier removal module is used to remove outliers in the flight test data based on the second-order forward difference algorithm;
野值补正模块,用于对去除野值后的试飞数据,采用拉格朗日插值公式对野值所在的试飞参数点进行补正;The outlier correction module is used to correct the flight test parameter point where the outlier is located by using the Lagrangian interpolation formula for the flight test data after the outlier is removed;
滤波模块,用于对补正后的试飞数据进行低通数字滤波。The filtering module is used for performing low-pass digital filtering on the corrected flight test data.
优选的是,所述野值去除模块包括:Preferably, the outlier removal module includes:
修正值计算单元,用于对试飞数据中各个试飞参数的原值,分别计算其修正值;The correction value calculation unit is used to calculate the correction value of the original value of each flight test parameter in the flight test data;
差值计算单元,计算所述修正值与原值的差值的绝对值;A difference calculation unit, which calculates the absolute value of the difference between the correction value and the original value;
野值判定单元,若所述绝对值大于等于设定值,则将该试飞参数的原值判定为野值。The outlier judging unit is configured to judge the original value of the flight test parameter as an outlier if the absolute value is greater than or equal to the set value.
优选的是,所述野值判定单元中,在计算第k个试飞参数的原值与差值的绝对值时,所述设定值为:Preferably, in the outlier determination unit, when calculating the absolute value of the original value of the kth flight test parameter and the difference, the set value is:
其中,yi为第i个试飞参数的原值,为第i个试飞参数的修正值。Among them, y i is the original value of the i-th flight test parameter, is the correction value of the i-th flight test parameter.
优选的是,所述滤波模块包括:Preferably, the filter module includes:
参数提取单元,用于获取试飞数据实测的采样周期及预设的低通滤波器的截止频率;The parameter extraction unit is used to obtain the actual sampling period of the flight test data and the preset cut-off frequency of the low-pass filter;
系数矩阵计算单元,用于基于matlab的butter函数确定所述低通滤波器的系数矩阵;A coefficient matrix calculation unit, used to determine the coefficient matrix of the low-pass filter based on the butter function of matlab;
差分方程设计单元,用于基于所述系数矩阵构建滤波器差分方程;A differential equation design unit, configured to construct a filter differential equation based on the coefficient matrix;
低通数字滤波单元,用于基于所述差分方程对试飞数据中的各个试飞参数进行低通数字滤波。A low-pass digital filtering unit, configured to perform low-pass digital filtering on various flight test parameters in the flight test data based on the differential equation.
本申请识别、剔除与补正了由于测试仪器工作不稳定,外界干扰,操作人员失误等因素导致的野值,同时使用低通数字滤波滤除了飞行试验数据中的高频成分,使得试验或者试飞数据辨识分析结果更加准确,为工程实际提供精确的参数信息。This application identifies, eliminates and corrects the outliers caused by factors such as unstable test equipment, external interference, and operator errors. At the same time, low-pass digital filtering is used to filter out high-frequency components in the flight test data, making the test or flight test data The identification and analysis results are more accurate, providing accurate parameter information for engineering practice.
附图说明Description of drawings
图1为本申请试飞数据误差消除方法的一优选实施例的流程图。Fig. 1 is a flow chart of a preferred embodiment of the flight test data error elimination method of the present application.
图2为本申请一优选实施例的野值的识别与剔除流程图。Fig. 2 is a flow chart of identifying and eliminating outliers in a preferred embodiment of the present application.
图3为本申请去野值和低通滤波效果图。Fig. 3 is an effect diagram of removing outliers and low-pass filtering in the present application.
具体实施方式Detailed ways
为使本申请实施的目的、技术方案和优点更加清楚,下面将结合本申请实施方式中的附图,对本申请实施方式中的技术方案进行更加详细的描述。在附图中,自始至终相同或类似的标号表示相同或类似的元件或具有相同或类似功能的元件。所描述的实施方式是本申请一部分实施方式,而不是全部的实施方式。下面通过参考附图描述的实施方式是示例性的,旨在用于解释本申请,而不能理解为对本申请的限制。基于本申请中的实施方式,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施方式,都属于本申请保护的范围。下面结合附图对本申请的实施方式进行详细说明。In order to make the objectives, technical solutions and advantages of the implementation of the application clearer, the technical solutions in the implementation manners of the application will be described in more detail below in conjunction with the drawings in the implementation manners of the application. In the drawings, the same or similar reference numerals denote the same or similar elements or elements having the same or similar functions throughout. The described embodiments are some, but not all, embodiments of the present application. The embodiments described below by referring to the figures are exemplary and are intended to explain the present application, and should not be construed as limiting the present application. Based on the implementation manners in this application, all other implementation manners obtained by persons of ordinary skill in the art without making creative efforts belong to the scope of protection of this application. Embodiments of the present application will be described in detail below in conjunction with the accompanying drawings.
由于飞机系统本身及飞行条件的复杂性,传感器和数据采集系统的非理想性,飞行试验设计的不完善性等众多因素,导致飞行实测数据在测量过程中引入各种误差,本发明的目的是通过数据处理消除测量过程中所引入的各种误差,方便对试验数据进行分析、处理。Due to the complexity of the aircraft system itself and flight conditions, the non-ideality of sensors and data acquisition systems, the imperfection of flight test design and many other factors, the actual flight measurement data is introduced into various errors during the measurement process. The purpose of the invention is to Eliminate various errors introduced in the measurement process through data processing, and facilitate the analysis and processing of test data.
本申请第一方面提供一种试飞数据误差消除方法,如图1所示,主要包括:The first aspect of the present application provides a method for eliminating flight test data errors, as shown in Figure 1, which mainly includes:
步骤S1、获取按时间排序的多个试飞参数组成的试飞数据。Step S1. Obtain flight test data composed of multiple flight test parameters sorted by time.
步骤S2、基于二阶前推差分算法去除试飞数据中的野值。Step S2, removing outliers in the flight test data based on the second-order forward difference algorithm.
在飞行试验过程中,由于测试仪器工作不稳定而使信号发生偶然跳动,外界异常干扰的影响,以及操作人员的失误等,往往会导致测量数据中包含一些很不合理的跳点,称之为野值。如果不将野值从试验数据中排除掉,则用此试验数据分析必定不正确,所以必须在数据预处理过程中将野值点剔除并补正它。During the flight test, due to the unstable operation of the test instrument, the signal occasionally jumps, the influence of external abnormal interference, and the operator's error, etc., often lead to some very unreasonable jump points in the measurement data, which are called wild value. If the outliers are not excluded from the test data, the analysis of the test data must be incorrect, so the outliers must be eliminated and corrected during the data preprocessing process.
在一些可选实施方式中,步骤S2进一步包括:In some optional implementation manners, step S2 further includes:
步骤S21、对试飞数据中各个试飞参数的原值,分别计算其修正值;Step S21, calculating the corrected values of the original values of each flight test parameter in the flight test data;
步骤S22、计算所述修正值与原值的差值的绝对值;Step S22, calculating the absolute value of the difference between the correction value and the original value;
步骤S23、若所述绝对值大于等于设定值,则将该试飞参数的原值判定为野值。Step S23, if the absolute value is greater than or equal to the set value, then determine the original value of the flight test parameter as an outlier value.
在该实施例中,采用的是七点二阶前推差分算法进行预测和判断野值,所用公式如下:In this embodiment, the seven-point second-order forward difference algorithm is used to predict and judge outliers, and the formula used is as follows:
用(1)式计算前六个点的修正值,用(2)式计算其余点的修正值,其中yi为第i个试飞参数的原值,为第i个试飞参数的修正值。在计算第k个试飞参数的原值与差值的绝对值时,E为恒定设定值,若点k满足下式,则将其判断为野值并将其剔除。Use formula (1) to calculate the correction value of the first six points, use formula (2) to calculate the correction value of the remaining points, where y i is the original value of the i-th flight test parameter, is the correction value of the i-th flight test parameter. When calculating the absolute value of the original value and the difference of the kth flight test parameter, E is a constant set value. If point k satisfies the following formula, it will be judged as an outlier value and eliminated.
其中,yi为第i个试飞参数的原值,为第i个试飞参数的修正值。Among them, y i is the original value of the i-th flight test parameter, is the correction value of the i-th flight test parameter.
步骤S3、对去除野值后的试飞数据,采用拉格朗日插值公式对野值所在的试飞参数点进行补正。Step S3 , for the flight test data after removing the outliers, use the Lagrangian interpolation formula to correct the flight test parameter points where the outliers are located.
为了保证试飞数据的完整性,需要将剔除的野值点进行补正。实际数据野值点多为连续点,但一般连续野值点个数不超过3个,这里令m=3。In order to ensure the integrity of the flight test data, it is necessary to correct the eliminated outlier points. Most of the actual data outlier points are continuous points, but generally the number of continuous outlier points does not exceed 3, here let m=3.
本文采用拉格朗日插值公式进行野值点的补正。In this paper, the Lagrangian interpolation formula is used to correct the outlier points.
其中,t为时间,式(4)中用于对第l个点进行野值补正,tl即为第l个点的试飞数据采集时间,其它参数含义等同。Among them, t is the time, which is used to correct the outlier value of the lth point in formula (4), and tl is the flight test data collection time of the lth point, and the meanings of other parameters are the same.
进行野值的识别、剔除与补正流程如图2所示。The process of identifying, eliminating and correcting outliers is shown in Figure 2.
步骤S4、对补正后的试飞数据进行低通数字滤波。Step S4, performing low-pass digital filtering on the corrected flight test data.
飞行试验数据中常含有高频成分,为此应当对实测数据作频谱分析,分析出不合理的高频成分。由于刚体动力学系统的运动频率比较低,所以这些高频成分也即是高频噪声,高频噪声的存在将严重影响例如气动力参数辨识的精度等飞行参数应用,所以应当将这些高频噪声去除,通常的方法是设计一个低通数字滤波器将其滤除。Flight test data often contain high-frequency components, so spectrum analysis should be performed on the measured data to analyze unreasonable high-frequency components. Since the motion frequency of the rigid body dynamics system is relatively low, these high-frequency components are also high-frequency noise. The existence of high-frequency noise will seriously affect the application of flight parameters such as the accuracy of aerodynamic parameter identification, so these high-frequency noises should be The usual method is to design a low-pass digital filter to filter it out.
为了使低通滤波能够处理不同型号飞机、不同采样频率的飞行实测数据,在一些可选实施方式中,设计四阶低通滤波器,即步骤S4进一步包括:In order to enable the low-pass filter to process different types of aircraft and different sampling frequency flight measured data, in some optional implementations, designing a fourth-order low-pass filter, that is, step S4 further includes:
获取试飞数据实测的采样周期及预设的低通滤波器的截止频率;Obtain the measured sampling period of the flight test data and the preset cut-off frequency of the low-pass filter;
基于matlab的butter函数确定所述低通滤波器的系数矩阵;Determine the coefficient matrix of the low-pass filter based on the butter function of matlab;
基于所述系数矩阵构建滤波器差分方程;constructing a filter difference equation based on the coefficient matrix;
基于所述差分方程对试飞数据中的各个试飞参数进行低通数字滤波。Low-pass digital filtering is performed on each flight test parameter in the flight test data based on the differential equation.
设计滤波器参数时,首先确定飞行实测数据的采样周期TS,数字低通滤波器的截止频率fc。根据TS,fc计算得到参数ωn:When designing the filter parameters, first determine the sampling period T S of the flight measured data and the cut-off frequency f c of the digital low-pass filter. According to T S , f c is calculated to obtain parameter ω n :
ωs=2×π/Tsωc=2×π×fc ω s =2×π/T s ω c =2×π×f c
利用matlab指令:[B,A]=butter(4,ωn,‘low’),得到设计的低通滤波器系数矩阵A和B。再根据A和B矩阵写出滤波器的差分方程:Use the matlab instruction: [B, A] = butter (4, ω n , 'low'), to get the designed low-pass filter coefficient matrix A and B. Then write the difference equation of the filter according to the A and B matrices:
其中,y为滤波前的数据,为滤波后的数据。Among them, y is the data before filtering, is the filtered data.
最终,通过去野值和低通滤波后效果如图3所示,图3表明本申请减少了试飞数据误差影响,方便对试验数据进行后期分析、处理和使用。Finally, the effect after outlier removal and low-pass filtering is shown in Figure 3. Figure 3 shows that this application reduces the impact of flight test data errors, and facilitates later analysis, processing and use of test data.
本申请第二方面提供了一种与上述方法对应的试飞数据误差消除装置,主要包括:The second aspect of the present application provides a flight test data error elimination device corresponding to the above method, mainly including:
试飞数据获取模块,用于获取按时间排序的多个试飞参数组成的试飞数据;The flight test data acquisition module is used to obtain flight test data composed of multiple flight test parameters sorted by time;
野值去除模块,用于基于二阶前推差分算法去除试飞数据中的野值;The outlier removal module is used to remove outliers in the flight test data based on the second-order forward difference algorithm;
野值补正模块,用于对去除野值后的试飞数据,采用拉格朗日插值公式对野值所在的试飞参数点进行补正;The outlier correction module is used to correct the flight test parameter point where the outlier is located by using the Lagrangian interpolation formula for the flight test data after the outlier is removed;
滤波模块,用于对补正后的试飞数据进行低通数字滤波。The filtering module is used for performing low-pass digital filtering on the corrected flight test data.
在一些可选实施方式中,所述野值去除模块包括:In some optional implementation manners, the outlier removal module includes:
修正值计算单元,用于对试飞数据中各个试飞参数的原值,分别计算其修正值;The correction value calculation unit is used to calculate the correction value of the original value of each flight test parameter in the flight test data;
差值计算单元,计算所述修正值与原值的差值的绝对值;A difference calculation unit, which calculates the absolute value of the difference between the correction value and the original value;
野值判定单元,若所述绝对值大于等于设定值,则将该试飞参数的原值判定为野值。The outlier judging unit is configured to judge the original value of the flight test parameter as an outlier if the absolute value is greater than or equal to the set value.
在一些可选实施方式中,所述野值判定单元中,在计算第k个试飞参数的原值与差值的绝对值时,所述设定值为:In some optional implementation manners, in the outlier determination unit, when calculating the absolute value of the original value and the difference of the kth flight test parameter, the set value is:
其中,yi为第i个试飞参数的原值,为第i个试飞参数的修正值。Among them, y i is the original value of the i-th flight test parameter, is the correction value of the i-th flight test parameter.
在一些可选实施方式中,所述滤波模块包括:In some optional implementation manners, the filtering module includes:
参数提取单元,用于获取试飞数据实测的采样周期及预设的低通滤波器的截止频率;The parameter extraction unit is used to obtain the actual sampling period of the flight test data and the preset cut-off frequency of the low-pass filter;
系数矩阵计算单元,用于基于matlab的butter函数确定所述低通滤波器的系数矩阵;A coefficient matrix calculation unit, used to determine the coefficient matrix of the low-pass filter based on the butter function of matlab;
差分方程设计单元,用于基于所述系数矩阵构建滤波器差分方程;A differential equation design unit, configured to construct a filter differential equation based on the coefficient matrix;
低通数字滤波单元,用于基于所述差分方程对试飞数据中的各个试飞参数进行低通数字滤波。A low-pass digital filtering unit, configured to perform low-pass digital filtering on various flight test parameters in the flight test data based on the differential equation.
本申请识别、剔除与补正了由于测试仪器工作不稳定,外界干扰,操作人员失误等因素导致的野值,同时使用低通数字滤波滤除了飞行试验数据中的高频成分,使得试验或者试飞数据辨识分析结果更加准确,为工程实际提供精确的参数信息。This application identifies, eliminates and corrects the outliers caused by factors such as unstable test equipment, external interference, and operator errors. At the same time, low-pass digital filtering is used to filter out high-frequency components in the flight test data, making the test or flight test data The identification and analysis results are more accurate, providing accurate parameter information for engineering practice.
虽然,上文中已经用一般性说明及具体实施方案对本申请作了详尽的描述,但在本申请基础上,可以对之作一些修改或改进,这对本领域技术人员而言是显而易见的。因此,在不偏离本申请精神的基础上所做的这些修改或改进,均属于本申请要求保护的范围。Although the present application has been described in detail with general descriptions and specific implementations above, it is obvious to those skilled in the art that some modifications or improvements can be made on the basis of the present application. Therefore, the modifications or improvements made on the basis of not departing from the spirit of the present application all belong to the protection scope of the present application.
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