CN113063414A - Vehicle dynamics pre-integration construction method for visual inertia SLAM - Google Patents
Vehicle dynamics pre-integration construction method for visual inertia SLAM Download PDFInfo
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01C—MEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
- G01C21/00—Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00
- G01C21/10—Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 by using measurements of speed or acceleration
- G01C21/12—Navigation; 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
- G01C21/16—Navigation; 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
- G01C21/165—Navigation; 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 combined with non-inertial navigation instruments
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01C—MEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
- G01C21/00—Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00
- G01C21/26—Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 specially adapted for navigation in a road network
- G01C21/34—Route searching; Route guidance
- G01C21/3407—Route searching; Route guidance specially adapted for specific applications
- G01C21/3415—Dynamic re-routing, e.g. recalculating the route when the user deviates from calculated route or after detecting real-time traffic data or accidents
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01C—MEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
- G01C25/00—Manufacturing, calibrating, cleaning, or repairing instruments or devices referred to in the other groups of this subclass
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01C—MEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
- G01C25/00—Manufacturing, calibrating, cleaning, or repairing instruments or devices referred to in the other groups of this subclass
- G01C25/005—Manufacturing, 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
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Abstract
The invention relates to a vehicle dynamics pre-integration construction method for visual inertia SLAM, which specifically comprises the following steps: s1, obtaining vehicle information of the target vehicle, and establishing a two-degree-of-freedom single-rail dynamic model of the target vehicle according to the vehicle information; s2, obtaining a steering wheel corner and a vehicle speed corresponding to a vehicle chassis of the target vehicle, and establishing a system observation model according to the dynamic model; s3, establishing a vehicle displacement dynamics pre-integral and a vehicle rotation dynamics pre-integral through Euler integration according to a system observation model; s4, separating the speed noise item and the angular speed noise item in the vehicle displacement dynamics pre-integration and the rotation dynamics pre-integration, establishing a vehicle dynamics integration error propagation model according to the separation result, and calculating to obtain the vehicle dynamics pre-integration of the target vehicle through the vehicle dynamics integration error propagation model. Compared with the prior art, the method has the advantages of improving the positioning precision and stability of the visual inertia SLAM system through vehicle dynamics pre-integration and the like.
Description
Technical Field
The invention relates to the technical field of automatic driving automobile positioning, in particular to a vehicle dynamics pre-integration construction method for visual inertia SLAM.
Background
The positioning technology is one of the core technologies of an automatic driving automobile, and the visual inertia SLAM is a main positioning means applied to indoor/underground and other scenes without GPS signals. The automatic driving automobile is often under the working condition of uniform speed, the problem of inconspicuous system scale can be caused due to insufficient excitation of the inertial navigation accelerometer, and the measurement value of the inertial navigation has a zero drift phenomenon, so that the estimation precision of the system can be influenced.
Considering that the information such as the steering wheel angle, the vehicle speed and the like of the automatic driving automobile is accurately known and CAN be conveniently measured from the CAN bus, the method CAN be used for carrying out fusion positioning with visual information and inertial navigation information by utilizing the characteristics that the method does not need excitation and has no zero drift, so that the positioning precision and stability of the system are improved, and how to utilize the vehicle chassis information and construct the motion integral between key image frames based on a vehicle dynamic model becomes the problem to be solved firstly.
Disclosure of Invention
The invention aims to overcome the defects that the excitation of an inertial navigation accelerometer in the prior art is insufficient, so that the system scale is not considerable, and the measured value of inertial navigation has a zero drift phenomenon, and provides a vehicle dynamics pre-integration construction method for a visual inertia SLAM.
The purpose of the invention can be realized by the following technical scheme:
a vehicle dynamics pre-integration construction method for visual inertia SLAM specifically comprises the following steps:
s1, obtaining vehicle information of the target vehicle, and establishing a two-degree-of-freedom single-rail dynamic model of the target vehicle according to the vehicle information;
s2, obtaining a steering wheel corner and a vehicle speed corresponding to a vehicle chassis of the target vehicle, and establishing a system observation model according to the dynamic model;
s3, establishing a vehicle displacement dynamics pre-integral and a vehicle rotation dynamics pre-integral through Euler integration according to a system observation model;
s4, separating the speed noise item and the angular speed noise item in the vehicle displacement dynamics pre-integration and the rotation dynamics pre-integration, establishing a vehicle dynamics integration error propagation model according to the separation result, and calculating the vehicle dynamics pre-integration of the target vehicle through the vehicle dynamics integration error propagation model.
The formula of the dynamic model of the two-degree-of-freedom single track of the target vehicle is specifically as follows:
wherein k isfFor front axle yaw stiffness, krFor rear wheel cornering stiffness, /)fIs the distance of the center of mass to the front axis,/rIs the distance from the center of mass to the rear axle, beta is the side slip angle of the center of mass, alpha is the front wheel rotation angle, omegarAs yaw rate, IzThe vehicle is subjected to right multiplication and right multiplication of the lie algebra around the z axis, v is the vehicle speed, v isxIn order to be the longitudinal vehicle speed,the first derivative of lateral vehicle speed with respect to time.
Further, when the centroid slip angle is smaller than a set threshold, the longitudinal vehicle speed is used as the vehicle speed of the target vehicle in the dynamic model, and at this time, the dynamic model is specifically as follows:
wherein, the mass center slip angle satisfies d beta/dt equals 0, and the yaw angular velocity satisfies d omegar/dt=0。
The formula of the system observation model is specifically as follows:
wherein the content of the first and second substances,is a three-dimensional space yaw-rate vector,is a three-dimensional space velocity vector and is,is a measure of the speed of the center of mass, betatIs the centroid slip angle at time t,is a measure of yaw rate.
Further, the calculation formulas of the measured values of the centroid slip angle and the yaw rate at the time t are as follows:
wherein alpha istAnd the steering angle of the front wheel at the time t is calculated by dividing the steering wheel angle corresponding to the chassis of the vehicle by the steering transmission ratio, and K is a stability factor.
The vehicle displacement dynamics pre-integration and the vehicle rotation dynamics pre-integration are specifically as follows:
wherein the content of the first and second substances,is a pre-integration of the vehicle displacement dynamics,is a pre-integration of the vehicle's rotational dynamics,rotation matrix from vehicle coordinate system to world coordinate system for time t, nvFor velocity vector noise, nωIs angular velocity vector noise.
Further, the vehicle displacement dynamics pre-integration and the vehicle rotation dynamics pre-integration are obtained by separating optimization variables and measurement values through discrete chassis motion data integration, and are specifically as follows:
wherein the content of the first and second substances,for the displacement from the vehicle coordinate system to the world coordinate system,is a rotation matrix from the vehicle coordinate system to the world coordinate system at the corresponding time of the image frame.
Further, the state recursion of the discrete form chassis motion data integration is as follows:
the discrete chassis motion data integral is calculated by the chassis motion data integral through an Euler integral algorithm, and is specifically as follows:
wherein, Δ t is the sampling time interval of the chassis motion data, Δ tijAnd j-i-1 chassis motion data between two image frames.
Further, the chassis motion data integral is obtained by calculation through a system observation model, and the corresponding continuous form state recursion is specifically as follows:
wherein the subscript v represents a vehicle coordinate system, the superscript w represents a world coordinate system, vkRepresenting the vehicle coordinate system corresponding to the image frame sequence k.
The vehicle displacement dynamics pre-integration and the vehicle rotation dynamics pre-integration separate a velocity noise term and an angular velocity noise term as follows:
the formula of the vehicle dynamics integral error propagation model is specifically as follows:
wherein, δ αijError states, δ γ, for vehicle displacement dynamics pre-integrationijIs the error state of the vehicle rotational dynamics pre-integration, I is the identity matrix,as a rotation matrix of the propagation process, JrIs a lie algebra right-multiplicative jacobian.
Compared with the prior art, the invention has the following beneficial effects:
the method is based on a vehicle dynamics model, makes full use of the information such as steering wheel turning angle and vehicle speed accurately known by an automatic driving automobile chassis, constructs motion integral between key image frames, constructs a vehicle dynamics integral error propagation model through vehicle displacement dynamics pre-integration and vehicle rotation dynamics pre-integration, and obtains the vehicle dynamics pre-integration of a target vehicle through calculation of the vehicle dynamics integral error propagation model, so that the problems that the scale of a visual inertia SLAM system is not observable under the working condition of a vehicle at a constant speed and the inertial navigation measured value has zero drift due to the fact that inertial navigation is only relied on are solved, and the positioning accuracy and the positioning stability of the visual inertia SLAM system are improved.
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FIG. 1 is a schematic flow diagram of the present invention;
FIG. 2 is a schematic structural diagram of a two-degree-of-freedom single-rail dynamic model according to the present invention.
Detailed Description
The invention is described in detail below with reference to the figures and specific embodiments. The present embodiment is implemented on the premise of the technical solution of the present invention, and a detailed implementation manner and a specific operation process are given, but the scope of the present invention is not limited to the following embodiments.
Examples
As shown in fig. 1, a vehicle dynamics pre-integration construction method for a visual inertia SLAM specifically includes the following steps:
s1, obtaining vehicle information of the target vehicle, and establishing a two-degree-of-freedom single-rail dynamic model of the target vehicle according to the vehicle information;
s2, obtaining a steering wheel corner and a vehicle speed corresponding to a vehicle chassis of the target vehicle, and establishing a system observation model according to the dynamic model;
s3, establishing a vehicle displacement dynamics pre-integral and a vehicle rotation dynamics pre-integral through Euler integration according to a system observation model;
s4, separating the speed noise item and the angular speed noise item in the vehicle displacement dynamics pre-integration and the rotation dynamics pre-integration, establishing a vehicle dynamics integration error propagation model according to the separation result, and calculating to obtain the vehicle dynamics pre-integration of the target vehicle through the vehicle dynamics integration error propagation model.
As shown in fig. 2, in this embodiment, the mass of the vehicle is concentrated at the center of mass, the adhesion force between the tire and the ground is directly transmitted through the front wheel and the rear wheel, while the influence of the suspension is ignored, the pitch angle, the roll angle and the vertical displacement of the vehicle are all zero, and the force acting on the center of mass of the vehicle does not change the distribution of the tire load. In addition, under the working condition of medium and low speed, the tire cornering characteristic is in a linear range. The target vehicle is simplified into a two-degree-of-freedom monorail model supported on the ground by front and rear lateral elastic tires and having lateral and yaw motions, which is specifically shown as follows:
wherein k isfFor front axle yaw stiffness, krFor rear wheel cornering stiffness, /)fIs the distance of the center of mass to the front axis,/rIs the distance from the center of mass to the rear axle, beta is the side slip angle of the center of mass, alpha is the front wheel rotation angle, omegarAs yaw rate, IzThe vehicle is subjected to right multiplication and right multiplication of the lie algebra around the z axis, v is the vehicle speed, v isxIn order to be the longitudinal vehicle speed,the first derivative of lateral vehicle speed with respect to time.
When the centroid slip angle is smaller than a set threshold value, the longitudinal speed is taken as the speed of the target vehicle in the dynamic model, and the dynamic model is as follows:
wherein, the mass center slip angle satisfies d beta/dt equals 0, and the yaw angular velocity satisfies d omegar/dt=0。
The formula of the system observation model is specifically as follows:
wherein the content of the first and second substances,is a three-dimensional space yaw-rate vector,is a three-dimensional space velocity vector and is,is a measure of the speed of the center of mass, betatIs the centroid slip angle at time t,is a measure of yaw rate.
the calculation formula of the measured values of the centroid slip angle and the yaw rate at time t is as follows:
wherein alpha istAnd the steering angle of the front wheel at the time t is calculated by dividing the steering wheel angle corresponding to the chassis of the vehicle by the steering transmission ratio, and K is a stability factor.
The vehicle displacement dynamics pre-integration and the vehicle rotation dynamics pre-integration are specifically as follows:
wherein the content of the first and second substances,is a pre-integration of the vehicle displacement dynamics,is a pre-integration of the vehicle's rotational dynamics,rotation matrix from vehicle coordinate system to world coordinate system for time t, nvFor velocity vector noise, nωIs angular velocity vector noise.
The vehicle displacement dynamics pre-integration and the vehicle rotation dynamics pre-integration are obtained by separating optimization variables from measured values through discrete chassis motion data integration, and are specifically as follows:
wherein the content of the first and second substances,for the displacement from the vehicle coordinate system to the world coordinate system,is a rotation matrix from the vehicle coordinate system to the world coordinate system at the corresponding time of the image frame.
The state recursion of the discrete form chassis motion data integration is as follows:
the discrete chassis motion data integral is calculated by the chassis motion data integral through an Euler integral algorithm, and is specifically as follows:
wherein Δ t is chassis motion dataSampling time interval, Δ tijAnd j-i-1 chassis motion data between two image frames.
The chassis motion data integral is obtained by calculation through a system observation model, and the corresponding continuous form state recursion is specifically as follows:
wherein the subscript v represents a vehicle coordinate system, the superscript w represents a world coordinate system, vkRepresenting the vehicle coordinate system corresponding to the image frame sequence k.
The vehicle displacement dynamics pre-integration and the vehicle rotation dynamics pre-integration separate the velocity noise term and the angular velocity noise term as follows:
for the vehicle rotational dynamics pre-integration, the following is specifically satisfied:
wherein the content of the first and second substances,the method is a vehicle rotation dynamics pre-integration of a real state containing noise, is directly obtained from chassis motion data, and meets the condition that Exp (phi + delta phi) is approximately equal to Exp (phi) Exp (J) when delta phi is a high-order small quantityr(φ)δφ)。
Is rotatedError state of kinetic integration δ γijThe expression is as follows:
when delta phi is a high-order small quantity, the condition is satisfiedAt the same time due toIs very small, can obtainTaking the logarithm of both sides of the above formula at the same time, the following formula is obtained:
wherein, n is given in the present embodimentωObey a zero mean gaussian distribution, so the error state δ γijThe first order approximation of (d) also follows a zero mean gaussian distribution.
Calculating to obtain delta gammaijThe recurrence formula of (c) is as follows:
for the vehicle rotational dynamics pre-integration, the following is specifically satisfied:
when φ is a high-order small quantity, Exp (φ) ≈ I + φ ^ is satisfied, so that the following formula is satisfied:
in this embodiment, high order small quantities are ignoredAccording to the property a ^ b ^ a, satisfy:
obtaining the error state delta alpha of the displacement dynamics integral quantityijThe expression is as follows:
wherein, n is given in the present embodimentvObeying a zero mean Gaussian distribution, δ γi,tThe approximation follows a Gaussian distribution, so the error state δ αijAlso approximately obey a gaussian distribution.
Delta alpha is obtained by calculationijThe recurrence formula of (c) is as follows:
the formula of the vehicle dynamics integral error propagation model is specifically as follows:
wherein, δ αijError states, δ γ, for vehicle displacement dynamics pre-integrationijIs the error state of the vehicle rotational dynamics pre-integration, I is the identity matrix,as a rotation matrix of the propagation process, JrIs a lie algebra right-multiplicative jacobian.
In addition, it should be noted that the specific embodiments described in the present specification may have different names, and the above descriptions in the present specification are only illustrations of the structures of the present invention. All equivalent or simple changes in the structure, characteristics and principles of the invention are included in the protection scope of the invention. Various modifications or additions may be made to the described embodiments or methods may be similarly employed by those skilled in the art without departing from the scope of the invention as defined in the appending claims.
Claims (10)
1. A vehicle dynamics pre-integration construction method for visual inertia SLAM is characterized by comprising the following steps:
s1, obtaining vehicle information of the target vehicle, and establishing a two-degree-of-freedom single-rail dynamic model of the target vehicle according to the vehicle information;
s2, obtaining a steering wheel corner and a vehicle speed corresponding to a vehicle chassis of the target vehicle, and establishing a system observation model according to the dynamic model;
s3, establishing a vehicle displacement dynamics pre-integral and a vehicle rotation dynamics pre-integral through Euler integration according to a system observation model;
s4, separating the speed noise item and the angular speed noise item in the vehicle displacement dynamics pre-integration and the rotation dynamics pre-integration, establishing a vehicle dynamics integration error propagation model according to the separation result, and calculating the vehicle dynamics pre-integration of the target vehicle through the vehicle dynamics integration error propagation model.
2. The method of claim 1, wherein the formula of the dynamic model of the two-degree-of-freedom single-rail of the target vehicle is specifically as follows:
wherein k isfFor front axle yaw stiffness, krFor rear wheel cornering stiffness, /)fIs the distance of the center of mass to the front axis,/rIs the distance from the center of mass to the rear axle, beta is the side slip angle of the center of mass, alpha is the front wheel rotation angle, omegarAs yaw rate, IzThe vehicle is subjected to right multiplication and right multiplication of the lie algebra around the z axis, v is the vehicle speed, v isxIn order to be the longitudinal vehicle speed,the first derivative of lateral vehicle speed with respect to time.
3. The vehicle dynamics pre-integration construction method for the visual inertia SLAM as claimed in claim 2, wherein when the centroid slip angle is smaller than a set threshold, the longitudinal vehicle speed is taken as the vehicle speed of the target vehicle in the dynamics model, and the dynamics model is as follows:
wherein, the mass center slip angle satisfies d beta/dt equals 0, and the yaw angular velocity satisfies d omegar/dt=0。
4. The method of claim 3, wherein the system observation model is specifically formulated as follows:
6. The vehicle dynamics pre-integration construction method for the visual inertia SLAM according to claim 4, wherein the vehicle displacement dynamics pre-integration and the vehicle rotation dynamics pre-integration are specifically as follows:
wherein the content of the first and second substances,is a pre-integration of the vehicle displacement dynamics,is a pre-integration of the vehicle's rotational dynamics,rotation matrix from vehicle coordinate system to world coordinate system for time t, nvFor velocity vector noise, nωIs angular velocity vector noise.
7. The vehicle dynamics pre-integration construction method for the visual inertia SLAM as claimed in claim 6, wherein the vehicle displacement dynamics pre-integration and the vehicle rotation dynamics pre-integration are obtained by separating optimization variables and measurement values through discrete chassis motion data integration, specifically as follows:
8. The vehicle dynamics pre-integration construction method for visual inertial SLAM of claim 7, wherein the state recursion of the discrete form chassis motion data integration is as follows:
the discrete chassis motion data integral is calculated by the chassis motion data integral through an Euler integral algorithm, and is specifically as follows:
where Δ t is the sampling time interval of the chassis motion data.
9. The vehicle dynamics pre-integration construction method for the visual inertia SLAM according to the claim 8, wherein the chassis motion data integration is calculated by a system observation model, and the corresponding continuous form state recursion is specifically as follows:
wherein the subscript v represents a vehicle coordinate system, the superscript w represents a world coordinate system, vkRepresenting the vehicle coordinate system corresponding to the image frame sequence k.
10. The vehicle dynamics pre-integration construction method for visual inertial SLAM of claim 8, wherein the vehicle displacement dynamics pre-integration and vehicle rotation dynamics pre-integration separate velocity noise term and angular velocity noise term as follows:
the formula of the vehicle dynamics integral error propagation model is specifically as follows:
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