CN110262479A - A kind of estimation of caterpillar tractor kinematics and deviation calibration method - Google Patents
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Abstract
The invention discloses a kind of estimation of caterpillar tractor kinematics and deviation calibration methods, belong to agricultural machinery automatic Pilot technical field, now propose following scheme, it includes the following steps, construct caterpillar tractor kinematics model, in a practical situation, since surface relief changes, GNSS double antenna installation deviation factor, cause heading angle deviation, path trace effect is caused to be deteriorated, for simplified model, it is certain value that heading angle deviation, which can be approximately considered, choose east orientation displacement coordinate component, north orientation displacement coordinate component, tractor speed, north orientation displacement coordinate component, tractor speed, tractor course angle is measured as systematic perspective, the caterpillar tractor kalman Filtering Model of building is nonlinear model.The present invention quickly can accurately estimate the heading angle deviation due to caused by surface relief variation, GNSS antenna installation deviation etc., to compensate to course angle, improve system to the adaptability on ground.
Description
Technical Field
The invention relates to the technical field of automatic driving of agricultural machinery, in particular to a method for estimating kinematics and calibrating deviation of a crawler tractor.
Background
With the rapid development of the GNSS high-precision satellite navigation positioning technology, autopilot and information technology, modern agriculture is gradually developing towards digital agriculture and precision agriculture. The information and intelligent degree of the tractor serving as common agricultural equipment has important significance for development of precision agriculture.
Tractors can be classified into wheel tractors and track tractors according to the traveling mode. Compared with a wheel type tractor, the crawler type tractor has the advantages of large contact surface, small ground pressure, good traction adhesion performance, difficulty in slipping and the like, is more suitable for operation in environments with relatively severe conditions, such as snowfields, hills, muddy fields, grasslands, plateaus and the like, and effectively fills the defects of the wheel type tractor. However, in the automatic driving process of the crawler tractor, due to the fact that a large amount of unpredictable interference exists in the actual operation environment, such as the complex situation of the farmland ground to be cultivated, the kinematic model is not accurate, the GNSS antenna mounting angle deviation, the GPS signal shielding and reflection, the system noise and the external environment noise interference and other factors, the position and posture related information of the tractor is abnormal, the automatic driving control precision of the crawler tractor is seriously influenced, the operation intensity and the economic cost of farmers are increased, and the agricultural cultivation efficiency and the land utilization rate are greatly reduced.
The invention provides a method for estimating the kinematics and calibrating the deviation of a track type tractor aiming at the problems in the automatic driving control technology of the track type tractor, so as to realize the accurate estimation of the position and attitude information of the track type tractor, enhance the adaptability and anti-interference performance of the system to the external environment and improve the operation precision of the automatic driving system of the track type tractor. The invention aims to accurately estimate the course angle deviation in real time by designing a proper estimation method, and compensate and correct the course angle so as to improve the adaptability of the system to the environment.
Disclosure of Invention
The invention aims to solve the problems of poor control effect and low operation precision of a crawler tractor caused by interference of various factors in an actual operation environment, and provides a crawler tractor kinematic estimation and deviation calibration method of anti-interference factors.
In order to achieve the purpose, the invention adopts the following technical scheme:
a method for estimating the kinematics and calibrating the deviation of caterpillar tractor includes such steps as providing a caterpillar tractor,
s1, constructing a crawler tractor kinematic model:
wherein x is the east displacement coordinate component of the crawler tractor, y is the north displacement coordinate component, v is the running speed of the crawler tractor,the track angle of the track type tractor, omega is the angular speed of the track type tractor body;
s2: because the crawler-type tractor turns to when, and left wheel, right wheel and barycenter department angular velocity are equal, so can deduce:
wherein v islTo be the running speed of the left track, vrThe running speed of the right crawler belt is shown, R is the turning radius, and b is the width of the vehicle body;
s3: the simultaneous equations can be solved to obtain:
s4: the following equations (3) and (6) can be derived:
in the formula, u is the speed difference of the left and right crawler belts, namely the control quantity;
s5: in the automatic driving operation process of the agricultural machinery, in order to ensure the crop cultivation quality, the tractor is arranged to do uniform linear motion, so that the following results can be obtained:
s6: in practical situations, the course angle deviation caused by the ground fluctuation and the GNSS dual-antenna installation deviation factors causes the path tracking effect to be poor, and in order to simplify the model, the course angle deviation can be approximately considered as a constant value, and then:
s7: through the processes of S1-S6, the constructed Kalman filtering nonlinear differential equation model of the crawler tractor is as follows:
s8: selecting an east displacement coordinate component x, a north displacement coordinate component y, a tractor speed v and a tractor course angleAnd the course angle deviation delta is used as a system state quantity, and an east displacement coordinate component x, a north displacement coordinate component y, a tractor speed v and a tractor course angle are usedAs a system view measurement, there are:
wherein X is a system estimation vector, and Z is a system observation vector;
s9: the crawler tractor kalman filtering model constructed in the S7 is a nonlinear model, and by adopting an EKF filtering algorithm and solving a Jacobian matrix, the model is linearized to obtain a corresponding system linear state space equation:
s10: discretizing the continuous system to obtain a state transition matrix phi and an observation matrix H:
s11: selecting a process noise covariance matrix Q and an observation noise covariance matrix R:
s12: initialization state vector X, covariance matrix P, and observation state vector Z:
X(0)=E[X(0)] (19);
P(0)=var[X(0)] (20);
Z(0)=Z0 (21);
wherein, X (0), P (0), Z (0) are the initial values of the state vector X, the covariance matrix P and the observation state vector Z respectively;
s13: kalman filter state one-step prediction:
s14: calculating a one-step prediction covariance matrix:
P(k+1|k)=Φ(k+1|k)P(k|k)ΦT(k+1|k)+Q(k+1) (23);
s15: computing a Kalman gain:
K(k+1)=P(k+1|k)HT(k+1)[H(k+1)P(k+1|k)HT(k+1)+R(k+1)]-1 (24);
s16: calculating an estimated value:
s17: updating the covariance matrix:
P(k+1)=[I-K(k+1)H(k+1)]P(k+1|k) (26);
wherein, in the formula (22-26), k +1 represents the next time, k represents the current time,for the system state estimator, K is the kalman gain.
Preferably, the method further comprises the step S18, and the steps S13-S17 are repeated continuously.
Preferably, the method further includes step S19, in the process of off-line analysis and debugging by using the actual data, adjusting the observation noise matrix, the process noise matrix, and the covariance matrix to achieve the desired filtering effect, and estimating the heading angle deviation meeting the actual heading angle to compensate the heading angle.
Compared with the prior art, the invention has the beneficial effects that:
(1) the method for estimating the kinematics and calibrating the deviation of the crawler tractor can quickly and accurately estimate course angle deviation caused by ground fluctuation, GNSS antenna installation deviation and the like, so that the course angle is compensated, and the adaptability of the system to the ground is improved;
(2) according to the method, the EKF filtering algorithm is adopted to filter the data source of the automatic driving control algorithm of the crawler tractor, so that the data noise is reduced, the influence of external environment interference factors and system noise on the performance of the automatic driving system of the crawler tractor is reduced, and the control precision and the system stability of the automatic driving system of the crawler tractor are improved;
(3) the method has the advantages of small calculated amount and high real-time performance, and can improve the automatic driving performance of the crawler tractor by about 25 percent in comparison.
Drawings
FIG. 1 is a track type tractor kinematics model.
Fig. 2 is a flow chart of kalman filter estimation.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments.
Referring to fig. 1-2, a method for estimating kinematics and offset calibration of a track-type tractor includes the steps of,
the first step is as follows: constructing a kinematic model of the crawler tractor:
wherein,x is the east displacement coordinate component of the crawler tractor, y is the north displacement coordinate component, v is the running speed of the crawler tractor,the track angle of the track type tractor, omega is the angular speed of the track type tractor body;
the second step is that: because the crawler-type tractor turns to when, and left wheel, right wheel and barycenter department angular velocity are equal, so can deduce:
wherein v islTo be the running speed of the left track, vrThe running speed of the right crawler belt is shown, R is the turning radius, and b is the vehicle width.
The third step: the simultaneous equations can be solved to obtain:
the fourth step: the following equations (3) and (6) can be derived:
in the formula, u is the speed difference of the left and right crawler belts, namely the control quantity;
the fifth step: in the automatic driving operation process of the agricultural machinery, in order to ensure the crop cultivation quality, the tractor is arranged to do uniform linear motion, so that the following results can be obtained:
and a sixth step: in practical situations, due to the factors of ground fluctuation and GNSS dual-antenna installation deviation, a course angle deviation is caused, which results in a poor path tracking effect, and in order to simplify the model, the course angle deviation is approximately considered to be a certain value, and then:
the invention aims to accurately estimate the course angle deviation delta in real time by designing a proper estimation method, and compensate and correct the course angle;
the seventh step: through the process, the Kalman filtering nonlinear differential equation model of the crawler tractor is constructed as follows:
eighth step: selecting an east displacement coordinate component x, a north displacement coordinate component y, a tractor speed v and a tractor course angleAnd the course angle deviation delta is used as a system state quantity, and an east displacement coordinate component x, a north displacement coordinate component y, a tractor speed v and a tractor course angle are usedAs a system view measurement, there are:
wherein, X is a system estimation vector, and Z is a system observation vector.
The ninth step: the crawler tractor kalman filtering model constructed in the seventh step is a nonlinear model, the invention adopts EKF filtering algorithm, and obtains a corresponding system linear state space equation by solving Jacobian matrix and linearizing the model:
the tenth step: discretizing the continuous system to obtain a state transition matrix phi and an observation matrix H:
the eleventh step: selecting a process noise covariance matrix Q and an observation noise covariance matrix R:
process noise covariance matrix Q:
selecting an observation noise covariance matrix R: by collecting pose data east displacement coordinate component x, north displacement coordinate component y, tractor running speed v and tractor course angle of an automatic driving system of the crawler tractor in a stationary process within a period of time (10-20 min)And respectively solving the standard deviation of each group of data to obtain a system observation noise covariance matrix R, wherein n of the observation noise covariance matrix R in the running process of the tractor is 3 times when the observation noise covariance matrix R is static:
it should be noted that Q, R is not fixed and can be modified and adjusted according to the filtering effect until a satisfactory effect is achieved.
The twelfth step: by collecting the east displacement coordinate component x, the north displacement coordinate component y, the tractor speed v and the tractor course angle of the crawler tractor in the motion process (in an automatic driving mode)Controlling the quantity u and the vehicle body angular velocity omega, and taking the quantity u and the vehicle body angular velocity omega as an observation vector Z;
the thirteenth step: initialization state vector X, covariance matrix P, and observation state vector Z:
X(0)=E[X(0)] (19);
Z(0)=Z0 (21);
wherein, X (0), P (0), Z (0) are the initial values of the state vector X, covariance matrix P and observation state vector Z, respectively, and the size of P (0) will directly influence the convergence rate of the EKF algorithm;
the fourteenth step is that: kalman filter state one-step prediction:
the fifteenth step: calculating a one-step prediction covariance matrix:
P(k+1|k)=Φ(k+1|k)P(k|k)ΦT(k+1|k)+Q(k+1) (23);
sixteenth, step: computing a Kalman gain:
K(k+1)=P(k+1|k)HT(k+1)[H(k+1)P(k+1|k)HT(k+1)+R(k+1)]-1 (24);
seventeenth step: calculating an estimated value:
and eighteenth step: updating the covariance matrix:
P(k+1)=[I-K(k+1)H(k+1)]P(k+1|k) (26);
wherein, in the formula (22-26), k +1 represents the next time, k represents the current time,k is a kkalman gain;
the nineteenth step: continuously repeating the fourteenth step to the eighteenth step;
in the process of off-line analysis and debugging by using actual data, the observation noise matrix R, the process noise matrix Q and the covariance matrix P (0) are adjusted to achieve the expected filtering effect, and the course angle deviation conforming to the actual course angle is estimated to compensate the course angle;
the method for estimating and calibrating the kinematics of the crawler tractor is applied to the automatic driving process of the crawler tractor, and carries out online filtering, data processing and course angle deviation estimation so as to achieve better control effect;
the method for estimating the kinematics and calibrating the deviation of the crawler tractor can quickly and accurately estimate the course angle error caused by the fluctuation of the ground, thereby improving the adaptability of a control algorithm to the fluctuation of the ground, and specifically comprises the following points:
(1) the method for estimating the kinematics and calibrating the deviation of the crawler tractor can quickly and accurately estimate course angle deviation caused by ground fluctuation, GNSS antenna installation deviation and the like, so that the course angle is compensated, and the adaptability of the system to the ground is improved;
(2) according to the method, the EKF filtering algorithm is adopted to filter the data source of the automatic driving control algorithm of the crawler tractor, so that the data noise is reduced, the influence of external environment interference factors and system noise on the performance of the automatic driving system of the crawler tractor is reduced, and the control precision and the system stability of the automatic driving system of the crawler tractor are improved;
(3) the method has the advantages of small calculated amount and high real-time performance, and can improve the automatic driving performance of the crawler tractor by about 25 percent in comparison.
The above description is only for the preferred embodiment of the present invention, but the scope of the present invention is not limited thereto, and any person skilled in the art should be considered to be within the technical scope of the present invention, and the technical solutions and the inventive concepts thereof according to the present invention should be equivalent or changed within the scope of the present invention.
Claims (3)
1. A method for estimating the kinematics and calibrating the deviation of a crawler tractor is characterized by comprising the following steps,
s1, constructing a crawler tractor kinematic model:
wherein x is the east displacement coordinate component of the crawler tractor, y is the north displacement coordinate component, v is the running speed of the crawler tractor,the track angle of the track type tractor, omega is the angular speed of the track type tractor body;
s2: because the crawler-type tractor turns to when, and left wheel, right wheel and barycenter department angular velocity are equal, so can deduce:
wherein v islTo be the running speed of the left track, vrThe running speed of the right crawler belt is shown, R is the turning radius, and b is the width of the vehicle body;
s3: the simultaneous equations can be solved to obtain:
s4: the following equations (3) and (6) can be derived:
in the formula, u is the speed difference of the left and right crawler belts, namely the control quantity;
s5: in the automatic driving operation process of the agricultural machinery, in order to ensure the crop cultivation quality, the tractor is arranged to do uniform linear motion, so that the following results can be obtained:
s6: in practical situations, the course angle deviation caused by the ground fluctuation and the GNSS dual-antenna installation deviation factors causes the path tracking effect to be poor, and in order to simplify the model, the course angle deviation can be approximately considered as a constant value, and then:
s7: through the processes of S1-S6, the constructed Kalman filtering nonlinear differential equation model of the crawler tractor is as follows:
s8: selecting an east displacement coordinate component x, a north displacement coordinate component y, a tractor speed v and a tractor course angleAnd the course angle deviation delta is used as a system state quantity, and an east displacement coordinate component x, a north displacement coordinate component y, a tractor speed v and a tractor course angle are usedAs a system view measurement, there are:
wherein X is a system estimation vector, and Z is a system observation vector;
s9: the crawler tractor kalman filtering model constructed in the S7 is a nonlinear model, and by adopting an EKF filtering algorithm and solving a Jacobian matrix, the model is linearized to obtain a corresponding system linear state space equation:
s10: discretizing the continuous system to obtain a state transition matrix phi and an observation matrix H:
s11: selecting a process noise covariance matrix Q and an observation noise covariance matrix R:
s12: initialization state vector X, covariance matrix P, and observation state vector Z:
X(0)=E[X(0)] (19);
P(0)=var[X(0)] (20);
Z(0)=Z0 (21);
wherein, X (0), P (0), Z (0) are the initial values of the state vector X, the covariance matrix P and the observation state vector Z respectively;
s13: kalman filter state one-step prediction:
s14: calculating a one-step prediction covariance matrix:
P(k+1|k)=Φ(k+1|k)P(k|k)ΦT(k+1|k)+Q(k+1) (23);
s15: computing a Kalman gain:
K(k+1)=P(k+1|k)HT(k+1)[H(k+1)P(k+1|k)HT(k+1)+R(k+1)]-1 (24);
s16: calculating an estimated value:
s17: updating the covariance matrix:
P(k+1)=[I-K(k+1)H(k+1)]P(k+1|k) (26);
wherein, in the formula (22-26), k +1 represents the next time, k represents the current time,for the system state estimator, K is the kalman gain.
2. The method for estimating kinematics and misalignment calibration of a track-type tractor according to claim 1, further comprising the step of S18, wherein the steps of S13-S17 are repeated.
3. The method for estimating kinematics and calibration of a track-type tractor according to claim 2, further comprising a step S19, adjusting the observation noise matrix, the process noise matrix, and the covariance matrix to achieve a desired filtering effect during off-line analysis and debugging using actual data, and estimating a heading angle deviation corresponding to the actual heading angle to compensate for the heading angle.
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