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CN116519013A - High-precision inertial navigation initial alignment method based on virtual IMU prediction - Google Patents

High-precision inertial navigation initial alignment method based on virtual IMU prediction Download PDF

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CN116519013A
CN116519013A CN202310264805.6A CN202310264805A CN116519013A CN 116519013 A CN116519013 A CN 116519013A CN 202310264805 A CN202310264805 A CN 202310264805A CN 116519013 A CN116519013 A CN 116519013A
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imu
acceleration
virtual
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virtual imu
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CN116519013B (en
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邹思远
郭玉胜
邓继权
周鼎
庄广琛
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Beijing Automation Control Equipment Institute BACEI
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01CMEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C25/00Manufacturing, calibrating, cleaning, or repairing instruments or devices referred to in the other groups of this subclass
    • G01C25/005Manufacturing, calibrating, cleaning, or repairing instruments or devices referred to in the other groups of this subclass initial alignment, calibration or starting-up of inertial devices
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01CMEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C21/00Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00
    • G01C21/10Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 by using measurements of speed or acceleration
    • G01C21/12Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 by using measurements of speed or acceleration executed aboard the object being navigated; Dead reckoning
    • G01C21/16Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 by using measurements of speed or acceleration executed aboard the object being navigated; Dead reckoning by integrating acceleration or speed, i.e. inertial navigation
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01CMEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C21/00Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00
    • G01C21/10Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 by using measurements of speed or acceleration
    • G01C21/12Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 by using measurements of speed or acceleration executed aboard the object being navigated; Dead reckoning
    • G01C21/16Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 by using measurements of speed or acceleration executed aboard the object being navigated; Dead reckoning by integrating acceleration or speed, i.e. inertial navigation
    • G01C21/18Stabilised platforms, e.g. by gyroscope

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  • Engineering & Computer Science (AREA)
  • Radar, Positioning & Navigation (AREA)
  • Remote Sensing (AREA)
  • Physics & Mathematics (AREA)
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  • Automation & Control Theory (AREA)
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Abstract

The invention provides a high-precision inertial navigation initial alignment method based on virtual IMU prediction, which comprises the following steps: navigation alignment of a plurality of positions is carried out based on a biaxial rotation inertial navigation system, and alignment reference data, IMU data and a code disc rotation angle are obtained; acquiring the angular velocity and the acceleration of the virtual IMU gyroscope according to the alignment reference data; preprocessing IMU data to obtain a gyro angular rate increment and a accelerometer acceleration increment; setting model training input and output; performing model training by adopting a deep learning LSTM model according to model training input and model training output to obtain a virtual IMU prediction training model; based on the virtual IMU prediction training model, acquiring real-time predicted virtual IMU gyro angular velocity and acceleration according to real-time IMU data calculated gyro angular velocity increment, accelerometer acceleration increment and real-time code wheel rotation angle; and performing navigation alignment according to the real-time predicted angular velocity and acceleration of the virtual IMU gyroscope. The invention can solve the technical problem of insufficient inertial navigation initial alignment precision in the prior art.

Description

一种基于虚拟IMU预测的高精度惯导初始对准方法A high-precision inertial navigation initial alignment method based on virtual IMU prediction

技术领域technical field

本发明涉及惯导系统技术领域,尤其涉及一种基于虚拟IMU预测的高精度惯导初始对准方法。The invention relates to the technical field of inertial navigation systems, in particular to a high-precision inertial navigation initial alignment method based on virtual IMU prediction.

背景技术Background technique

惯性导航技术由于其隐蔽性好,自主性强等优势在海陆空各个武器装备上都不断得到应用。平台式惯导系统上的对准研究已经相当成熟。通常卡尔曼滤波被用于解决其初始对准问题。但是,由于惯导系统的可观测性较差,影响了该线性滤波器状态估计的收敛速度及估计精度,进而影响对准的精度和快速性,并存在对准精度和快速性互相矛盾的问题,因此,研究如何提高惯导系统初始对准的速度和精度,仍是一个很有价值的问题。Due to its good concealment and strong autonomy, inertial navigation technology has been continuously applied in various weapons and equipment on land, sea and air. Alignment research on platform inertial navigation systems has been quite mature. Usually Kalman filtering is used to solve its initial alignment problem. However, due to the poor observability of the inertial navigation system, the convergence speed and estimation accuracy of the linear filter state estimation are affected, which in turn affects the alignment accuracy and rapidity, and there is a problem of conflicting alignment accuracy and rapidity , therefore, it is still a very valuable problem to study how to improve the speed and accuracy of the initial alignment of the inertial navigation system.

双轴旋转惯导系统通过双轴旋转,可以将陀螺、加表零位误差调制掉,提高对准导航精度,但是由于IMU旋转后需要码盘进行坐标转换计算得到最后导航系统的姿态结果,所以在IMU旋转过程中,码盘误差也会导致姿态转换矩阵存在误差,最终引入到的导航系统对准姿态角。因此,为进一步提高高精度惯导系统的对准精度,需要在原有旋转调制对准的基础上,提出一种改进方法,以满足现阶段远程战略武器装备需求。The dual-axis rotary inertial navigation system can modulate the zero error of the gyroscope and the meter through the dual-axis rotation, and improve the alignment navigation accuracy. However, after the IMU rotates, the coordinate conversion calculation of the code disc is required to obtain the attitude result of the final navigation system, so During the rotation of the IMU, the error of the code disc will also lead to an error in the attitude transformation matrix, which will eventually be introduced into the navigation system to align the attitude angle. Therefore, in order to further improve the alignment accuracy of the high-precision inertial navigation system, it is necessary to propose an improved method based on the original rotation modulation alignment to meet the needs of long-range strategic weapons and equipment at this stage.

发明内容Contents of the invention

本发明旨在至少解决现有技术中存在的技术问题之一。The present invention aims to solve at least one of the technical problems existing in the prior art.

本发明提供了一种基于虚拟IMU预测的高精度惯导初始对准方法,该基于虚拟IMU预测的高精度惯导初始对准方法包括:基于双轴旋转惯导系统进行多个位置的导航对准,获取对准基准数据、IMU数据和码盘转动角度;根据对准基准数据获取虚拟IMU陀螺角速度和加速度;对IMU数据进行预处理获取陀螺角速率增量和加表加速度增量;根据虚拟IMU陀螺角速度和加速度、陀螺角速率增量和加表加速度增量、以及码盘转动角度设置模型训练输入和模型训练输出;根据模型训练输入和模型训练输出采用深度学习LSTM模型进行模型训练,获取虚拟IMU预测训练模型;基于虚拟IMU预测训练模型,根据实时IMU数据解算的陀螺角速率增量和加表加速度增量、以及实时码盘转动角度获取实时预测的虚拟IMU陀螺角速度和加速度;根据实时预测的虚拟IMU陀螺角速度和加速度进行导航对准。The present invention provides a high-precision inertial navigation initial alignment method based on virtual IMU prediction. The high-precision inertial navigation initial alignment method based on virtual IMU prediction includes: performing navigation alignment of multiple positions based on a dual-axis rotary inertial navigation system. Acquire the alignment reference data, IMU data and code wheel rotation angle; obtain the virtual IMU gyro angular velocity and acceleration according to the alignment reference data; preprocess the IMU data to obtain the gyro angular rate increment and the acceleration increment; according to the virtual IMU gyro angular velocity and acceleration, gyro angular rate increment and meter acceleration increment, and code disc rotation angle are used to set model training input and model training output; according to model training input and model training output, deep learning LSTM model is used for model training to obtain Virtual IMU prediction training model; based on the virtual IMU prediction training model, the real-time predicted virtual IMU gyro angular velocity and acceleration can be obtained according to the gyro angular rate increment and acceleration increment calculated by the real-time IMU data, and the real-time code wheel rotation angle; Real-time predicted virtual IMU gyro angular velocity and acceleration for navigation alignment.

进一步地,根据获取虚拟IMU陀螺角速度,其中,/>为虚拟IMU陀螺角速度,/>为载体坐标系b系相对导航坐标系n系的角度变化在b系下的投影,Y为IMU采样周期,γ、θ、ψ分别为基准滚转角、俯仰角、航向角;/>为地球自转角速度在导航系n系的投影;L为纬度,ωie为地球自转角速率;/> 为导航坐标系n系相对地球坐标系e系的速度沿东向的投影,/>为导航坐标系n系相对地球坐标系e系的速度沿北向的投影,Rn为卯酉圈曲率半径,H为导航高度,Rm为子午圈曲率半径。Further, according to Get the virtual IMU gyro angular velocity, where, /> is the virtual IMU gyro angular velocity, /> is the projection of the angle change of the carrier coordinate system b relative to the navigation coordinate system n under the b system, Y is the IMU sampling period, γ, θ, ψ are reference roll angle, pitch angle, heading angle respectively; /> is the projection of the earth's rotation angular velocity in the navigation system n; L is the latitude, ω ie is the angular rate of the earth's rotation; /> is the projection along the east direction of the velocity of the navigation coordinate system n relative to the earth coordinate system e, /> is the projection along the north direction of the velocity of the navigation coordinate system n relative to the earth coordinate system e, R n is the curvature radius of the Maoyou circle, H is the navigation height, and R m is the curvature radius of the meridian circle.

进一步地,根据获取虚拟IMU加速度,其中,/>为虚拟IMU加速度,/>为载体系b系相对于惯性系i系的速度变化量的n系下的投影,/> 为重力加速度,/>为导航坐标系n系相对地球坐标系e系的速度,/> Further, according to Get virtual IMU acceleration, where, /> Acceleration for the virtual IMU, /> is the projection under the n-system of the velocity variation of the carrier system b relative to the inertial system i-system, /> is the acceleration due to gravity, /> is the velocity of the navigation coordinate system n relative to the earth coordinate system e, />

进一步地,根据获取陀螺角速率增量,其中,/>为ΔT时间段内的陀螺测量角速率增量,ΔT为数据预处理间隔时间周期,/>为陀螺测量角速度,T为IMU采样周期。Further, according to Get the gyro angular rate increment, where, /> is the gyro measurement angular rate increment in the ΔT time period, ΔT is the data preprocessing interval time period, /> is the angular velocity measured by the gyroscope, and T is the IMU sampling period.

进一步地,根据获取加表加速度增量,其中,/>为ΔT时间段内的加表加速度增量,ΔT为数据预处理间隔时间周期,/>为加表测量比力,T为IMU采样周期。Further, according to Get the acceleration increment of the table, where, /> is the acceleration increment of the meter in the ΔT time period, ΔT is the data preprocessing interval time period, /> In order to add a meter to measure the specific force, T is the IMU sampling period.

进一步地,设置模型训练输入为其中,Z(·)表示采用z-score进行数据归一化处理,满足/>μ表示原始数据x的均值,σ表示原始数据x的标准差;/>分别为陀螺测量角速率增量/>沿IMUx轴、y轴、z轴的分量,/>分别为加表加速度增量/>沿IMUx轴、y轴、z轴的分量,α为码盘内环角,β为码盘外环角。Further, set the model training input as Among them, Z( ) means that z-score is used for data normalization processing, which satisfies /> μ represents the mean value of the original data x, and σ represents the standard deviation of the original data x;/> Respectively, the angular rate increments measured by the gyroscope /> Components along the IMU x-axis, y-axis, z-axis, /> Respectively add table acceleration increment /> Components along the IMU x-axis, y-axis, and z-axis, α is the inner ring angle of the code wheel, and β is the outer ring angle of the code wheel.

进一步地,设置模型训练输出为其中,/>和/>分别为虚拟IMU陀螺角速度和加速度值。Further, set the model training output as where, /> and /> are the virtual IMU gyro angular velocity and acceleration values, respectively.

进一步地,虚拟IMU预测训练模型的损失函数为其中,YOUT为模型输出,Ypred为模型训练过程中的预测值,a为供训练的所有数据条次数量。Further, the loss function of the virtual IMU prediction training model is Among them, Y OUT is the model output, Y pred is the predicted value during the model training process, and a is the number of all data items for training.

进一步地,对实时解算获取的陀螺角速率增量和加表加速度增量、以及实时码盘转动角度进行归一化处理后,输入虚拟IMU预测训练模型进行虚拟IMU陀螺角速度和加速度的实时预测输出。Further, after normalizing the gyro angular rate increment and acceleration increment obtained by real-time calculation, as well as the real-time code disc rotation angle, input the virtual IMU prediction training model for real-time prediction of virtual IMU gyro angular velocity and acceleration output.

应用本发明的技术方案,提供了一种基于虚拟IMU预测的高精度惯导初始对准方法,该基于虚拟IMU预测的高精度惯导初始对准方法根据对准基准数据获取虚拟IMU陀螺角速度和加速度,结合IMU数据和码盘转动角度,采用深度学习LSTM模型(Long short-termmemory,长短时记忆网络模型)进行模型训练获取虚拟IMU预测训练模型,根据实时IMU数据解算的陀螺角速率增量和加表加速度增量、以及实时码盘转动角度获取实时预测的虚拟IMU陀螺角速度和加速度,并进行导航对准。本发明的惯导初始对准方法既保证了旋转调制消除零位误差的效果,又可以估计补偿出码盘误差,从而达到快速高精度对准的目的。与现有技术相比,本发明的技术方案能够解决现有技术中惯导初始对准精度不足的技术问题。Applying the technical solution of the present invention, a high-precision inertial navigation initial alignment method based on virtual IMU prediction is provided. The high-precision inertial navigation initial alignment method based on virtual IMU prediction obtains the virtual IMU gyro angular velocity and Acceleration, combined with IMU data and code wheel rotation angle, using deep learning LSTM model (Long short-termmemory, long-short-term memory network model) for model training to obtain a virtual IMU prediction training model, and calculate the gyro angular rate increment based on real-time IMU data Acceleration increment and real-time code disc rotation angle to obtain real-time predicted virtual IMU gyro angular velocity and acceleration, and perform navigation alignment. The inertial navigation initial alignment method of the present invention not only ensures the effect of the rotation modulation to eliminate the zero error, but also can estimate and compensate the error of the code disc, so as to achieve the purpose of fast and high-precision alignment. Compared with the prior art, the technical solution of the present invention can solve the technical problem of insufficient initial alignment accuracy of the inertial navigation system in the prior art.

附图说明Description of drawings

所包括的附图用来提供对本发明实施例的进一步的理解,其构成了说明书的一部分,用于例示本发明的实施例,并与文字描述一起来阐释本发明的原理。显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图。The accompanying drawings are included to provide further understanding of the embodiments of the invention, and constitute a part of the specification, are used to illustrate the embodiments of the invention, and together with the description, explain the principle of the invention. Apparently, the drawings in the following description are only some embodiments of the present invention, and those skilled in the art can obtain other drawings according to these drawings without creative efforts.

图1示出了根据本发明的具体实施例提供的基于虚拟IMU预测的高精度惯导初始对准方法的流程示意图。Fig. 1 shows a schematic flow chart of a high-precision inertial navigation initial alignment method based on virtual IMU prediction provided according to a specific embodiment of the present invention.

具体实施方式Detailed ways

需要说明的是,在不冲突的情况下,本申请中的实施例及实施例中的特征可以相互组合。下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。以下对至少一个示例性实施例的描述实际上仅仅是说明性的,决不作为对本发明及其应用或使用的任何限制。基于本发明中的实施例,本领域普通技术人员在没有作出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。It should be noted that, in the case of no conflict, the embodiments in the present application and the features in the embodiments can be combined with each other. The following will clearly and completely describe the technical solutions in the embodiments of the present invention with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only some, not all, embodiments of the present invention. The following description of at least one exemplary embodiment is merely illustrative in nature and in no way taken as limiting the invention, its application or uses. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without creative efforts fall within the protection scope of the present invention.

需要注意的是,这里所使用的术语仅是为了描述具体实施方式,而非意图限制根据本申请的示例性实施方式。如在这里所使用的,除非上下文另外明确指出,否则单数形式也意图包括复数形式,此外,还应当理解的是,当在本说明书中使用术语“包含”和/或“包括”时,其指明存在特征、步骤、操作、器件、组件和/或它们的组合。It should be noted that the terminology used here is only for describing specific implementations, and is not intended to limit the exemplary implementations according to the present application. As used herein, unless the context clearly dictates otherwise, the singular is intended to include the plural, and it should also be understood that when the terms "comprising" and/or "comprising" are used in this specification, they mean There are features, steps, operations, means, components and/or combinations thereof.

除非另外具体说明,否则在这些实施例中阐述的部件和步骤的相对布置、数字表达式和数值不限制本发明的范围。同时,应当明白,为了便于描述,附图中所示出的各个部分的尺寸并不是按照实际的比例关系绘制的。对于相关领域普通技术人员已知的技术、方法和设备可能不作详细讨论,但在适当情况下,所述技术、方法和设备应当被视为说明书的一部分。在这里示出和讨论的所有示例中,任何具体值应被解释为仅仅是示例性的,而不是作为限制。因此,示例性实施例的其它示例可以具有不同的值。应注意到:相似的标号和字母在下面的附图中表示类似项,因此,一旦某一项在一个附图中被定义,则在随后的附图中不需要对其进行进一步讨论。The relative arrangements of components and steps, numerical expressions and numerical values set forth in these embodiments do not limit the scope of the present invention unless specifically stated otherwise. At the same time, it should be understood that, for the convenience of description, the sizes of the various parts shown in the drawings are not drawn according to the actual proportional relationship. Techniques, methods and devices known to those of ordinary skill in the relevant art may not be discussed in detail, but where appropriate, such techniques, methods and devices should be considered part of the description. In all examples shown and discussed herein, any specific values should be construed as illustrative only, and not as limiting. Therefore, other examples of the exemplary embodiment may have different values. It should be noted that like numerals and letters denote like items in the following figures, therefore, once an item is defined in one figure, it does not require further discussion in subsequent figures.

如图1所示,根据本发明的具体实施例提供了一种基于虚拟IMU预测的高精度惯导初始对准方法,该基于虚拟IMU预测的高精度惯导初始对准方法包括:As shown in Figure 1, according to a specific embodiment of the present invention, a high-precision inertial navigation initial alignment method based on virtual IMU prediction is provided, and the high-precision inertial navigation initial alignment method based on virtual IMU prediction includes:

基于双轴旋转惯导系统进行多个位置的导航对准,获取对准基准数据、IMU数据和码盘转动角度;根据对准基准数据获取虚拟IMU陀螺角速度和加速度;Based on the dual-axis rotary inertial navigation system, the navigation alignment of multiple positions is performed, and the alignment reference data, IMU data and code wheel rotation angle are obtained; the virtual IMU gyro angular velocity and acceleration are obtained according to the alignment reference data;

对IMU数据进行预处理获取陀螺角速率增量和加表加速度增量;Preprocess the IMU data to obtain the gyro angular rate increment and the acceleration increment of the meter;

根据虚拟IMU陀螺角速度和加速度、陀螺角速率增量和加表加速度增量、以及码盘转动角度设置模型训练输入和模型训练输出;Set the model training input and model training output according to the virtual IMU gyro angular velocity and acceleration, gyro angular rate increment and meter acceleration increment, and code disc rotation angle;

根据模型训练输入和模型训练输出采用深度学习LSTM模型进行模型训练,获取虚拟IMU预测训练模型;According to the model training input and model training output, the deep learning LSTM model is used for model training to obtain the virtual IMU prediction training model;

基于虚拟IMU预测训练模型,根据实时IMU数据解算的陀螺角速率增量和加表加速度增量、以及实时码盘转动角度获取实时预测的虚拟IMU陀螺角速度和加速度;根据实时预测的虚拟IMU陀螺角速度和加速度进行导航对准。Based on the virtual IMU prediction training model, the real-time predicted angular velocity and acceleration of the virtual IMU gyro can be obtained according to the gyro angular rate increment and the acceleration increment calculated by the real-time IMU data, and the real-time code wheel rotation angle; according to the real-time predicted virtual IMU gyro Angular velocity and acceleration for navigation alignment.

应用此种配置方式,提供了一种基于虚拟IMU预测的高精度惯导初始对准方法,该基于虚拟IMU预测的高精度惯导初始对准方法根据对准基准数据获取虚拟IMU陀螺角速度和加速度,结合IMU数据和码盘转动角度,采用深度学习LSTM模型进行模型训练获取虚拟IMU预测训练模型,根据实时IMU数据解算的陀螺角速率增量和加表加速度增量、以及实时码盘转动角度获取实时预测的虚拟IMU陀螺角速度和加速度,并进行导航对准。本发明的惯导初始对准方法既保证了旋转调制消除零位误差的效果,又可以估计补偿出码盘误差,从而达到快速高精度对准的目的。Applying this configuration method, a high-precision inertial navigation initial alignment method based on virtual IMU prediction is provided. The high-precision inertial navigation initial alignment method based on virtual IMU prediction obtains virtual IMU gyro angular velocity and acceleration based on alignment reference data , combined with the IMU data and the rotation angle of the code disc, the deep learning LSTM model is used for model training to obtain the virtual IMU prediction training model, and the gyro angular rate increment and acceleration increment calculated according to the real-time IMU data, as well as the real-time code disc rotation angle Get real-time predicted virtual IMU gyro angular velocity and acceleration, and perform navigation alignment. The inertial navigation initial alignment method of the present invention not only ensures the effect of the rotation modulation to eliminate the zero error, but also can estimate and compensate the error of the code disc, so as to achieve the purpose of fast and high-precision alignment.

进一步地,在本发明中,为了实现基于虚拟IMU预测的高精度惯导初始对准,首先基于双轴旋转惯导系统进行多个位置的导航对准,获取对准基准数据、IMU数据和码盘转动角度;根据对准基准数据获取虚拟IMU陀螺角速度和加速度。Further, in the present invention, in order to realize the initial alignment of high-precision inertial navigation based on virtual IMU prediction, firstly, the navigation alignment of multiple positions is performed based on the dual-axis rotary inertial navigation system, and the alignment reference data, IMU data and codes are obtained. Disk rotation angle; obtain virtual IMU gyro angular velocity and acceleration based on alignment reference data.

作为本发明的一个具体实施例,可基于基准姿态结果进行反向推算虚拟IMU陀螺角速度和加速度值,具体地,根据获取虚拟IMU陀螺角速度,其中,/>为虚拟IMU陀螺角速度,/>为载体坐标系b系相对导航坐标系n系的角度变化在b系下的投影,T为IMU采样周期,γ、θ、ψ分别为基准滚转角、俯仰角、航向角;/>为地球自转角速度在导航系n系的投影;L为纬度,ωie为地球自转角速率;/> 为导航坐标系n系相对地球坐标系e系的速度沿东向的投影,/>为导航坐标系n系相对地球坐标系e系的速度沿北向的投影,Rn为卯酉圈曲率半径,H为导航高度,Rm为子午圈曲率半径。As a specific embodiment of the present invention, the virtual IMU gyro angular velocity and acceleration values can be reversely calculated based on the reference attitude results, specifically, according to Get the virtual IMU gyro angular velocity, where, /> is the virtual IMU gyro angular velocity, /> is the projection of the angle change of the carrier coordinate system b relative to the navigation coordinate system n in the b system, T is the IMU sampling period, γ, θ, ψ are reference roll angle, pitch angle, heading angle respectively; /> is the projection of the earth's rotation angular velocity in the navigation system n; L is the latitude, ω ie is the angular rate of the earth's rotation; /> is the projection along the east direction of the velocity of the navigation coordinate system n relative to the earth coordinate system e, /> is the projection along the north direction of the velocity of the navigation coordinate system n relative to the earth coordinate system e, R n is the curvature radius of the Maoyou circle, H is the navigation height, and R m is the curvature radius of the meridian circle.

根据获取虚拟IMU加速度,其中,/>为虚拟IMU加速度,/>为载体系b系相对于惯性系i系的速度变化量的n系下的投影,/> 为重力加速度,/>为导航坐标系n系相对地球坐标系e系的速度,/> according to Get virtual IMU acceleration, where, /> Acceleration for the virtual IMU, /> is the projection under the n-system of the velocity variation of the carrier system b relative to the inertial system i-system, /> is the acceleration due to gravity, /> is the velocity of the navigation coordinate system n relative to the earth coordinate system e, />

进一步地,在本发明中,在获取虚拟IMU陀螺角速度和加速度后,对IMU数据进行预处理获取陀螺角速率增量和加表加速度增量。Further, in the present invention, after obtaining the virtual IMU gyro angular velocity and acceleration, the IMU data is preprocessed to obtain the gyro angular rate increment and the surface acceleration increment.

作为本发明的一个具体实施例,可根据获取陀螺角速率增量和加表加速度增量,其中,/>为ΔT时间段内的陀螺测量角速率增量,/>为ΔT时间段内的加表加速度增量,ΔT为数据预处理间隔时间周期,/>为陀螺测量角速度,/>为加表测量比力,T为IMU采样周期。当t=n×ΔT时,间隔周期需要重启数据,进行IMU增量初始化,此时/> As a specific embodiment of the present invention, according to and Obtain the gyro angular rate increment and the accelerometer increment, where, /> Measure the angular rate increment for the gyro during the ΔT time period, /> is the acceleration increment of the meter in the ΔT time period, ΔT is the data preprocessing interval time period, /> Measure angular velocity for gyro, /> In order to add a meter to measure the specific force, T is the IMU sampling period. When t=n×ΔT, the interval period needs to restart the data, and perform IMU incremental initialization. At this time />

进一步地,在本发明中,在获取陀螺角速率增量和加表加速度增量后,根据虚拟IMU陀螺角速度和加速度、陀螺角速率增量和加表加速度增量、以及码盘转动角度设置模型训练输入和模型训练输出。Further, in the present invention, after obtaining the gyro angular rate increment and the surface acceleration increment, the model is set according to the virtual IMU gyro angular velocity and acceleration, the gyro angular rate increment and the surface acceleration increment, and the code disc rotation angle Training input and model training output.

作为本发明的一个具体实施例,分别对陀螺角速率增量和加表加速度增量、以及码盘转动角度进行归一化处理,将归一化处理后的数据用作模型训练输入,将虚拟IMU陀螺角速度和加速度用作模型输出。As a specific embodiment of the present invention, the gyroscope angular rate increment, the surface acceleration increment, and the code disc rotation angle are respectively normalized, and the normalized data is used as model training input, and the virtual The IMU gyro angular velocity and acceleration are used as model outputs.

具体地,可设置模型训练输入为其中,XIN-z为模型训练输入,Z(·)表示采用z-score进行数据归一化处理,满足/>μ表示原始数据x的均值,σ表示原始数据x的标准差;/>分别为陀螺测量角速率增量/>沿IMUx轴、y轴、z轴的分量,/>分别为加表加速度增量/>沿IMUx轴、y轴、z轴的分量,α为码盘内环角,β为码盘外环角。Specifically, the model training input can be set as Among them, X IN-z is the model training input, and Z( ) means that z-score is used for data normalization processing, which satisfies /> μ represents the mean value of the original data x, and σ represents the standard deviation of the original data x;/> Respectively, the angular rate increments measured by the gyroscope /> Components along the IMU x-axis, y-axis, z-axis, /> Respectively add table acceleration increment /> Components along the IMU x-axis, y-axis, and z-axis, α is the inner ring angle of the code wheel, and β is the outer ring angle of the code wheel.

设置模型训练输出为其中,/>和/>分别为虚拟IMU陀螺角速度和加速度值。Set the model training output to where, /> and /> are the virtual IMU gyro angular velocity and acceleration values, respectively.

进一步地,在本发明中,在设置模型训练输入和输出后,根据模型训练输入和输出采用深度学习LSTM模型进行模型训练,获取虚拟IMU预测训练模型。Further, in the present invention, after setting the model training input and output, the deep learning LSTM model is used for model training according to the model training input and output, and the virtual IMU prediction training model is obtained.

作为本发明的一个具体实施例,设置虚拟IMU预测训练模型的回看值为l,损失函数为其中,Ypred为模型训练过程中的预测值,a为供训练的所有数据条次数量。As a specific embodiment of the present invention, the look-back value of the virtual IMU prediction training model is set to 1, and the loss function is Among them, Y pred is the predicted value during the model training process, and a is the number of all data items for training.

该实施例采用的是平方损失函数,此外,设置模型训练的训练次数为epoch,在满足训练次数后,可得到虚拟IMU预测训练模型为F(p1,p2,p3…ps),其中p1,p2,p3…ps为训练得到的各项参数,s为整数。This embodiment uses a square loss function. In addition, set the number of training times for model training as epoch. After the number of training times is satisfied, the virtual IMU prediction training model can be obtained as F(p1, p2, p3...ps), where p1, p2 , p3...ps are various parameters obtained from training, and s is an integer.

进一步地,在本发明中,在获取虚拟IMU预测训练模型后,基于虚拟IMU预测训练模型,根据实时IMU数据解算的陀螺角速率增量和加表加速度增量、以及实时码盘转动角度获取实时预测的虚拟IMU陀螺角速度和加速度;根据实时预测的虚拟IMU陀螺角速度和加速度进行导航对准。Further, in the present invention, after obtaining the virtual IMU prediction training model, based on the virtual IMU prediction training model, the gyroscope angular rate increment and the acceleration increment and the real-time code disc rotation angle obtained according to the real-time IMU data solution Real-time predicted virtual IMU gyro angular velocity and acceleration; navigation alignment based on real-time predicted virtual IMU gyro angular velocity and acceleration.

作为本发明的一个具体实施例,将训练好的虚拟IMU预测训练模型F(p1,p2,p3…ps)导入对准应用软件进行应用。在对准过程中,根据实时IMU数据解算获取陀螺角速率增量和加表加速度增量,并对实时解算获取的陀螺角速率增量和加表加速度增量、以及实时码盘转动角度进行归一化处理,用作模型输入。设置预测周期为ΔT,当时间大于等于l×ΔT时,根据虚拟IMU预测训练模型进行实时预测,实时预测输出其中,/>和/>分别为实时预测输出的虚拟IMU陀螺角速度和加速度。As a specific embodiment of the present invention, the trained virtual IMU prediction training model F(p1, p2, p3...ps) is imported into the alignment application software for application. During the alignment process, the gyro angular rate increment and meter acceleration increment are calculated according to the real-time IMU data, and the gyro angular rate increment and meter acceleration increment obtained by real-time calculation, as well as the real-time code wheel rotation angle Normalized and used as model input. Set the prediction period to ΔT. When the time is greater than or equal to l×ΔT, the real-time prediction will be performed according to the virtual IMU prediction training model, and the real-time prediction output will be where, /> and /> are the virtual IMU gyro angular velocity and acceleration output by real-time prediction, respectively.

进一步地,在粗对准基础上,根据实时预测的虚拟IMU陀螺角速度和加速度进行导航解算及卡尔曼滤波对准,得到的姿态角即可作为最终的对准结果。Furthermore, on the basis of rough alignment, navigation calculation and Kalman filter alignment are performed according to the real-time predicted virtual IMU gyro angular velocity and acceleration, and the obtained attitude angle can be used as the final alignment result.

本发明的基于虚拟IMU预测的高精度惯导初始对准方法可应用于平台式双轴旋转惯导系统初始对准领域,本发明根据对准基准,逆向计算旋转过程中的虚拟IMU数据,再采用基于LSTM的深度学习方法,基于旋转过程中的IMU数据及内外环码盘转动角度,进行虚拟IMU预测模型训练,在对准过程中根据实际IMU及码盘内外环角信息,预测没有误差的虚拟IMU信息,消除IMU测量各项误差。基于本发明预测的虚拟IMU信息实时对准,既保证旋转调制消除零位误差的效果,又可以估计补偿出码盘误差,达到快速高精度对准的目的。The high-precision inertial navigation initial alignment method based on virtual IMU prediction of the present invention can be applied to the field of initial alignment of platform-type dual-axis rotary inertial navigation systems. According to the alignment reference, the present invention reversely calculates the virtual IMU data during the rotation process, and then Using the deep learning method based on LSTM, based on the IMU data during the rotation process and the rotation angle of the inner and outer ring code discs, the virtual IMU prediction model training is carried out. During the alignment process, the actual IMU and the inner and outer ring angle information of the code disc are used to predict the error-free Virtual IMU information to eliminate various errors in IMU measurement. Real-time alignment based on virtual IMU information predicted by the present invention not only ensures the effect of rotation modulation to eliminate zero error, but also estimates and compensates code disc error, so as to achieve the purpose of fast and high-precision alignment.

为了对本发明有进一步地了解,下面结合图1对本发明的基于虚拟IMU预测的高精度惯导初始对准方法进行详细说明。In order to have a further understanding of the present invention, the method for initial alignment of high-precision inertial navigation based on virtual IMU prediction of the present invention will be described in detail below in conjunction with FIG. 1 .

如图1所示,根据本发明的具体实施例提供了一种基于虚拟IMU预测的高精度惯导初始对准方法,包括以下步骤。As shown in FIG. 1 , according to a specific embodiment of the present invention, a high-precision inertial navigation initial alignment method based on virtual IMU prediction is provided, including the following steps.

步骤一,基于双轴旋转惯导系统进行多个位置的导航对准,获取对准基准数据、IMU数据和码盘转动角度。Step 1: Carry out navigation alignment at multiple positions based on the dual-axis rotary inertial navigation system, and obtain alignment reference data, IMU data, and code wheel rotation angle.

根据获取虚拟IMU陀螺角速度;根据获取虚拟IMU加速度。according to Obtain the virtual IMU gyro angular velocity; according to Get virtual IMU acceleration.

步骤二,根据获取陀螺角速率增量和加表加速度增量。Step two, according to and Get the gyro angular rate increment and accelerometer increment.

步骤三,设置模型训练输入为设置模型训练输出为/> Step 3, set the model training input as Set the model training output to />

步骤四,根据模型训练输入和输出采用深度学习LSTM模型进行模型训练,虚拟IMU预测训练模型的回看值为l,损失函数为 Step 4: According to the model training input and output, the deep learning LSTM model is used for model training. The virtual IMU predicts the look-back value of the training model as l, and the loss function is

步骤五,将训练好的虚拟IMU预测训练模型F(p1,p2,p3…ps)导入对准应用软件进行应用。在对准过程中,根据实时IMU数据解算获取陀螺角速率增量和加表加速度增量,并对实时解算获取的陀螺角速率增量和加表加速度增量、以及实时码盘转动角度进行归一化处理,用作模型输入。设置预测周期为ΔT,当时间大于等于l×ΔT时,根据虚拟IMU预测训练模型进行实时预测,实时预测输出 Step five, import the trained virtual IMU prediction training model F(p1, p2, p3...ps) into the alignment application software for application. During the alignment process, the gyro angular rate increment and meter acceleration increment are calculated according to the real-time IMU data, and the gyro angular rate increment and meter acceleration increment obtained by real-time calculation, as well as the real-time code wheel rotation angle Normalized and used as model input. Set the prediction period to ΔT. When the time is greater than or equal to l×ΔT, the real-time prediction will be performed according to the virtual IMU prediction training model, and the real-time prediction output will be

步骤六,在粗对准基础上,根据实时预测的虚拟IMU陀螺角速度和加速度进行导航解算及卡尔曼滤波对准,得到的姿态角即可作为最终的对准结果。Step 6: On the basis of rough alignment, navigation calculation and Kalman filter alignment are performed according to the real-time predicted virtual IMU gyro angular velocity and acceleration, and the obtained attitude angle can be used as the final alignment result.

综上所述,本发明提供了一种基于虚拟IMU预测的高精度惯导初始对准方法,该基于虚拟IMU预测的高精度惯导初始对准方法根据对准基准数据获取虚拟IMU陀螺角速度和加速度,结合IMU数据和码盘转动角度,采用深度学习LSTM模型进行模型训练获取虚拟IMU预测训练模型,根据实时IMU数据解算的陀螺角速率增量和加表加速度增量、以及实时码盘转动角度获取实时预测的虚拟IMU陀螺角速度和加速度,并进行导航对准。本发明的惯导初始对准方法既保证了旋转调制消除零位误差的效果,又可以估计补偿出码盘误差,从而达到快速高精度对准的目的。In summary, the present invention provides a high-precision inertial navigation initial alignment method based on virtual IMU prediction. The high-precision inertial navigation initial alignment method based on virtual IMU prediction obtains virtual IMU gyro angular velocity and Acceleration, combined with IMU data and code wheel rotation angle, adopts deep learning LSTM model for model training to obtain virtual IMU prediction training model, and calculates gyro angular rate increment and meter acceleration increment based on real-time IMU data, as well as real-time code wheel rotation Angle Obtain real-time predicted virtual IMU gyro angular velocity and acceleration, and perform navigation alignment. The inertial navigation initial alignment method of the present invention not only ensures the effect of the rotation modulation to eliminate the zero error, but also can estimate and compensate the error of the code disc, so as to achieve the purpose of fast and high-precision alignment.

以上所述仅为本发明的优选实施例而已,并不用于限制本发明,对于本领域的技术人员来说,本发明可以有各种更改和变化。凡在本发明的精神和原则之内,所作的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。The above descriptions are only preferred embodiments of the present invention, and are not intended to limit the present invention. For those skilled in the art, the present invention may have various modifications and changes. Any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the present invention shall be included within the protection scope of the present invention.

Claims (9)

1.一种基于虚拟IMU预测的高精度惯导初始对准方法,其特征在于,所述基于虚拟IMU预测的高精度惯导初始对准方法包括:1. A high-precision inertial navigation initial alignment method based on virtual IMU prediction, characterized in that, the high-precision inertial navigation initial alignment method based on virtual IMU prediction comprises: 基于双轴旋转惯导系统进行多个位置的导航对准,获取对准基准数据、IMU数据和码盘转动角度;根据所述对准基准数据获取虚拟IMU陀螺角速度和加速度;Based on the dual-axis rotary inertial navigation system, the navigation alignment of multiple positions is carried out, and the alignment reference data, IMU data and code wheel rotation angle are obtained; the virtual IMU gyro angular velocity and acceleration are obtained according to the alignment reference data; 对所述IMU数据进行预处理获取陀螺角速率增量和加表加速度增量;Preprocessing the IMU data to obtain gyro angular rate increments and surface acceleration increments; 根据所述虚拟IMU陀螺角速度和加速度、所述陀螺角速率增量和加表加速度增量、以及所述码盘转动角度设置模型训练输入和模型训练输出;Set model training input and model training output according to the virtual IMU gyro angular velocity and acceleration, the gyro angular rate increment and the acceleration increment, and the code wheel rotation angle; 根据所述模型训练输入和模型训练输出采用深度学习LSTM模型进行模型训练,获取虚拟IMU预测训练模型;Adopt deep learning LSTM model to carry out model training according to described model training input and model training output, obtain virtual IMU prediction training model; 基于所述虚拟IMU预测训练模型,根据实时IMU数据解算的陀螺角速率增量和加表加速度增量、以及实时码盘转动角度获取实时预测的虚拟IMU陀螺角速度和加速度;根据所述实时预测的虚拟IMU陀螺角速度和加速度进行导航对准。Based on the virtual IMU prediction training model, according to the real-time IMU data solution gyro angular rate increment and meter acceleration increment and the real-time code disc rotation angle to obtain real-time predicted virtual IMU gyro angular velocity and acceleration; according to the real-time prediction The virtual IMU gyro angular velocity and acceleration are used for navigation alignment. 2.根据权利要求1所述的基于虚拟IMU预测的高精度惯导初始对准方法,其特征在于,根据获取虚拟IMU陀螺角速度,其中,/>为虚拟IMU陀螺角速度,/>为载体坐标系b系相对导航坐标系n系的角度变化在b系下的投影,T为IMU采样周期,/> 2. the high precision inertial navigation initial alignment method based on virtual IMU prediction according to claim 1, is characterized in that, according to Get the virtual IMU gyro angular velocity, where, /> is the virtual IMU gyro angular velocity, /> is the projection of the angle change of the carrier coordinate system b relative to the navigation coordinate system n in the b system, T is the IMU sampling period, /> γ、θ、ψ分别为基准滚转角、俯仰角、航向角;为地球自转角速度在导航系n系的投影;L为纬度,ωie为地球自转角速率;/> 为导航坐标系n系相对地球坐标系e系的速度沿东向的投影,Rn为卯酉圈曲率半径,/>为导航坐标系n系相对地球坐标系e系的速度沿北向的投影,H为导航高度,Rm为子午圈曲率半径。γ, θ, ψ are reference roll angle, pitch angle, heading angle respectively; is the projection of the earth's rotation angular velocity in the navigation system n; L is the latitude, ω ie is the angular rate of the earth's rotation; /> is the projection along the east direction of the velocity of the navigation coordinate system n relative to the earth coordinate system e, R n is the radius of curvature of the Maoyou circle, /> is the projection along the north direction of the velocity of the navigation coordinate system n relative to the earth coordinate system e, H is the navigation height, and R m is the radius of curvature of the meridian. 3.根据权利要求1或2所述的基于虚拟IMU预测的高精度惯导初始对准方法,其特征在于,根据获取虚拟IMU加速度,其中,/>为虚拟IMU加速度,/>为载体系b系相对于惯性系i系的速度变化量的n系下的投影,/> 为重力加速度,/>为导航坐标系n系相对地球坐标系e系的速度,/> 3. the high precision inertial navigation initial alignment method based on virtual IMU prediction according to claim 1 or 2, is characterized in that, according to Get virtual IMU acceleration, where, /> Acceleration for the virtual IMU, /> is the projection under the n-system of the velocity variation of the carrier system b relative to the inertial system i-system, /> is the acceleration of gravity, /> is the velocity of the navigation coordinate system n relative to the earth coordinate system e, /> 4.根据权利要求1所述的基于虚拟IMU预测的高精度惯导初始对准方法,其特征在于,根据获取陀螺角速率增量,其中,/>为ΔT时间段内的陀螺测量角速率增量,ΔT为数据预处理间隔时间周期,/>为陀螺测量角速度,T为IMU采样周期。4. the high precision inertial navigation initial alignment method based on virtual IMU prediction according to claim 1, is characterized in that, according to Get the gyro angular rate increment, where, /> is the gyro measurement angular rate increment in the ΔT time period, ΔT is the data preprocessing interval time period, /> is the angular velocity measured by the gyroscope, and T is the IMU sampling period. 5.根据权利要求1所述的基于虚拟IMU预测的高精度惯导初始对准方法,其特征在于,根据获取加表加速度增量,其中,/>为ΔT时间段内的加表加速度增量,ΔT为数据预处理间隔时间周期,/>为加表测量比力,T为IMU采样周期。5. the high precision inertial navigation initial alignment method based on virtual IMU prediction according to claim 1, is characterized in that, according to Get the acceleration increment of the table, where, /> is the acceleration increment of the meter in the ΔT time period, ΔT is the data preprocessing interval time period, /> In order to add a meter to measure the specific force, T is the IMU sampling period. 6.根据权利要求1所述的基于虚拟IMU预测的高精度惯导初始对准方法,其特征在于,设置模型训练输入为6. the high precision inertial navigation initial alignment method based on virtual IMU prediction according to claim 1, is characterized in that, setting model training input is 其中,Z(·)表示采用z-score进行数据归一化处理,满足/>μ表示原始数据x的均值,σ表示原始数据x的标准差;/>分别为陀螺测量角速率增量沿IMUx轴、y轴、z轴的分量,/>分别为加表加速度增量/>沿IMUx轴、y轴、z轴的分量,α为码盘内环角,β为码盘外环角。 Among them, Z( ) means that z-score is used for data normalization processing, which satisfies /> μ represents the mean value of the original data x, and σ represents the standard deviation of the original data x;/> are the angular rate increments measured by the gyro Components along the IMU x-axis, y-axis, z-axis, /> Respectively add table acceleration increment /> Components along the IMU x-axis, y-axis, and z-axis, α is the inner ring angle of the code wheel, and β is the outer ring angle of the code wheel. 7.根据权利要求1所述的基于虚拟IMU预测的高精度惯导初始对准方法,其特征在于,设置模型训练输出为其中,/>和/>分别为虚拟IMU陀螺角速度和加速度值。7. the high precision inertial navigation initial alignment method based on virtual IMU prediction according to claim 1, is characterized in that, setting model training output is where, /> and /> are the virtual IMU gyro angular velocity and acceleration values, respectively. 8.根据权利要求1所述的基于虚拟IMU预测的高精度惯导初始对准方法,其特征在于,虚拟IMU预测训练模型的损失函数为其中,YOUT为模型输出,Ypred为模型训练过程中的预测值,a为供训练的所有数据条次数量。8. the high precision inertial navigation initial alignment method based on virtual IMU prediction according to claim 1, is characterized in that, the loss function of virtual IMU prediction training model is Among them, Y OUT is the model output, Y pred is the predicted value during the model training process, and a is the number of all data items for training. 9.根据权利要求1至8中任一项所述的基于虚拟IMU预测的高精度惯导初始对准方法,其特征在于,对实时解算获取的陀螺角速率增量和加表加速度增量、以及实时码盘转动角度进行归一化处理后,输入虚拟IMU预测训练模型进行虚拟IMU陀螺角速度和加速度的实时预测输出。9. The high-precision inertial navigation initial alignment method based on virtual IMU prediction according to any one of claims 1 to 8, characterized in that, the gyro angular rate increment and the surface acceleration increment obtained by real-time solution , and the real-time code wheel rotation angle are normalized, and then input into the virtual IMU prediction training model for real-time prediction output of the virtual IMU gyro angular velocity and acceleration.
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