CN113359710A - LOS theory-based agricultural machinery path tracking method - Google Patents

LOS theory-based agricultural machinery path tracking method Download PDF

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CN113359710A
CN113359710A CN202110561035.2A CN202110561035A CN113359710A CN 113359710 A CN113359710 A CN 113359710A CN 202110561035 A CN202110561035 A CN 202110561035A CN 113359710 A CN113359710 A CN 113359710A
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agricultural machinery
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angle
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CN113359710B (en
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丁世宏
刘壮壮
魏新华
刘陆
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Jiangsu University
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    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05DSYSTEMS FOR CONTROLLING OR REGULATING NON-ELECTRIC VARIABLES
    • G05D1/00Control of position, course, altitude or attitude of land, water, air or space vehicles, e.g. using automatic pilots
    • G05D1/02Control of position or course in two dimensions
    • G05D1/021Control of position or course in two dimensions specially adapted to land vehicles
    • G05D1/0231Control of position or course in two dimensions specially adapted to land vehicles using optical position detecting means
    • G05D1/0246Control of position or course in two dimensions specially adapted to land vehicles using optical position detecting means using a video camera in combination with image processing means
    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05DSYSTEMS FOR CONTROLLING OR REGULATING NON-ELECTRIC VARIABLES
    • G05D1/00Control of position, course, altitude or attitude of land, water, air or space vehicles, e.g. using automatic pilots
    • G05D1/02Control of position or course in two dimensions
    • G05D1/021Control of position or course in two dimensions specially adapted to land vehicles
    • G05D1/0212Control of position or course in two dimensions specially adapted to land vehicles with means for defining a desired trajectory
    • G05D1/0219Control of position or course in two dimensions specially adapted to land vehicles with means for defining a desired trajectory ensuring the processing of the whole working surface
    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05DSYSTEMS FOR CONTROLLING OR REGULATING NON-ELECTRIC VARIABLES
    • G05D1/00Control of position, course, altitude or attitude of land, water, air or space vehicles, e.g. using automatic pilots
    • G05D1/02Control of position or course in two dimensions
    • G05D1/021Control of position or course in two dimensions specially adapted to land vehicles
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Abstract

The invention relates to an agricultural machinery path tracking method based on LOS theory, which belongs to the field of agricultural machinery intelligent control, wherein when an agricultural machinery runs on a set straight path, a navigation positioning module acquires real-time position information of the agricultural machinery; transmitting the position information to an LOS algorithm device through parameters such as coordinates and transverse tracking errors analyzed by an upper computer system to obtain a current driving course angle; and finally, the front wheel feedback controller outputs the wheel steering angle expected by the system according to the course angle and the transverse tracking error, so that the steering deviation angle of the wheels can be obtained, and the steps are repeated to realize path tracking control. The agricultural machinery system based on the LOS navigation method can be suitable for different agricultural machinery operation scenes, effectively solves the problem of overlarge path tracking error, and has the characteristics of robustness, accuracy and the like. The method has clear and simple thought, and can enable the change of the wheel turning angle of the agricultural machinery in the process of tracking the expected path to be more gradual and stable under the condition of external interference or uncertain system model parameters.

Description

LOS theory-based agricultural machinery path tracking method
Technical Field
The invention relates to an agricultural machinery path tracking method based on an LOS theory, and belongs to the technical field of intelligent control of agricultural machinery.
Background
China is a big agricultural country, agriculture is the foundation of social and economic development and the guarantee of people's material life, in order to promote the improvement of agricultural productivity and realize the development of agricultural modernization, people put forward the concept of precision agriculture, it mainly utilizes technologies such as navigation satellite positioning technology, sensor technology and remote sensing control to finish the agricultural machinery independently to operate, the automatic navigation purpose, has effectively reduced the farmland farming time, has improved the farming efficiency, and can replace the human labor to realize the autopilot, has alleviated the work fatigue of the driver, has reduced the production accident rate, has improved the production safety.
The agricultural machine path tracking method is a key technology of agricultural machine automatic navigation and is a research hotspot in the technical field of agricultural machine intelligent control. The existing agricultural machinery path tracking technology mainly depends on the navigation positioning technology of an agricultural machinery upper computer system and the accuracy and hydraulic steering of a lower computer system sensor to control, so that the complexity of system design and the dependency of a control model are greatly increased, the production cost is improved, the production benefit is reduced, and the adaptability of the agricultural machinery operation environment is not strong. Therefore, how to optimize a set of path tracking controller with strong robustness and high accuracy on the premise of simplifying the structure of the agricultural machinery automatic navigation system is a key point for realizing agricultural accuracy and intellectualization.
Disclosure of Invention
The invention provides an agricultural machinery path tracking control method based on LOS theory, which can stably and effectively track and control the path of an unmanned agricultural machinery under the condition that system model parameters are uncertain or the working environment has high disturbance, so that the agricultural machinery ensures the stability and the accuracy of a nonlinear feedback controller on the basis of simplifying the structure of an original hardware system.
In order to solve the technical problems, the invention adopts the following technical scheme:
an agricultural machinery path tracking method based on an LOS theory comprises the following steps:
s1, when the agricultural machinery runs on the set straight path, the navigation positioning module acquires the real-time position information of the agricultural machinery;
s2, transmitting the position information to an LOS algorithm device through parameters such as coordinates and transverse tracking errors analyzed by an upper computer system to obtain a current driving course angle;
and S3, outputting the wheel steering angle expected by the system by the front wheel feedback controller according to the course angle and the transverse tracking error, thereby obtaining the steering deviation angle of the wheels, and repeating the steps to realize the path tracking control.
Further, the step S1 specifically includes:
s11, setting the boundary of the agricultural machinery working field block through the Beidou RTK positioning module and the visual recognition CDD module, and then dotting a plurality of parallel linear tracks.
And S12, the Beidou RTK navigation module outputs the position and track point information of the agricultural machine in real time, simultaneously converts the position and track point information and three vertex coordinates of the rectangular field block into a Gaussian plane coordinate system, and stores the planned path into a navigation system in a two-dimensional array form to realize navigation path planning.
Further, the step S11 specifically includes:
determining a rectangle by using an RTK-CCD positioning vision sensor fusion system and measuring three coordinate vertexes of a test field, and assuming a positioning coordinate of a ground node A, B, C, D; taking the longest distance of each operation line as a principle, combining the actual geometric shape of the land, selecting a boundary AD as a reference line of operation line planning, taking the boundary AD as a reference line to define a plurality of parallel operation lines, wherein the distance of the parallel lines is determined according to the operation line distance, the shortest distance between the last operation line and the boundary BC is not less than 1/2 operation distances, taking the focuses of all Q parallel operation lines and the boundaries AB and CD as planning operation line nodes, and storing the corresponding operation line nodes into a two-dimensional array for being called by navigation control software based on a LOS algorithm.
Further, the step S2 specifically includes:
s21: determining a two-way path point
Figure BDA0003077752650000021
And
Figure BDA0003077752650000022
the defined straight line traces the path, and the origin of the path coordinate system is at
Figure BDA0003077752650000023
The coordinate of the agricultural machine in the coordinate system with the fixed path is pn(t)=[x(t),y(t)]And satisfies the formula:
Figure BDA0003077752650000024
in the formula:
Figure BDA0003077752650000025
αk=atan2(yk+1-yk,xk+1-xk)∈S;
αkfor the north and the south of the geodetic coordinate system and the expected path PkAnd Pk+1A is a coefficient;
s22: let ε (t) ═ s (t), e (t)]T∈R2Wherein:
s(t)=[x(t)-xk]cos(αk)+[y(t)-yk]sin(αk)
e(t)=-[x(t)-xk]sin(αk)+[y(t)-yk]cos(αk)
s (t) is the tracking distance of the agricultural machinery path, e (t) is the transverse tracking error, and in the actual path tracking process, only the transverse deviation of the agricultural machinery running is needed to be concerned, because when the transverse deviation e (t) is 0, the agricultural machinery is converged on the expected tracking path, and the path tracking control target is:
Figure BDA0003077752650000031
s23: the LOS navigation algorithm is set as follows:
Figure BDA0003077752650000032
in the formula:
Figure BDA0003077752650000033
Figure BDA0003077752650000034
is the speed-path correlation angle, where Δ is the forward-looking distance of the agricultural machine and e is the lateral tracking error;
if agricultural machinery works asA running direction angle of
Figure BDA0003077752650000035
The course angle is then:
Figure BDA0003077752650000036
further, the step S3 specifically includes:
s31: the method comprises the following steps of acquiring information such as real-time positions, wheel speeds and corners of agricultural machinery through a navigation positioning system and a pose acquisition system respectively, and performing kinematic modeling by combining structural parameters of the agricultural machinery and a two-degree-of-freedom model theory, wherein the kinematic modeling specifically comprises the following steps:
considering the path tracking process of the agricultural machinery as low-speed motion in an X-Y plane coordinate system, the following results are obtained according to the upper triangular chord and the lower triangular chord theorem:
Figure BDA0003077752650000037
wherein deltaf、δrRespectively a front wheel turning angle and a rear wheel turning angle; lf、lrRespectively a front wheel base and a rear wheel base; beta is the direction angle of the running speed of the agricultural machine; r is a turning radius;
two-way degeneracy is multiplied on both sides
Figure BDA0003077752650000041
Obtaining:
Figure BDA0003077752650000042
under the condition of low-speed running working condition of the agricultural machinery, the change rate of the vehicle direction is as follows:
Figure BDA0003077752650000043
namely, it is
Figure BDA0003077752650000044
Since the agricultural machinery does not take into account the rear wheel steering situation, i.e. tan (delta)r) When the content is 0, finishing to obtain:
Figure BDA0003077752650000045
wherein
Figure BDA0003077752650000046
Is a course angle, v is a running speed, and delta is a front wheel rotation angle;
in a low-speed working environment, assuming that a wheel rotation direction is consistent with a speed direction, that is, δ is β, a kinematic model is:
Figure BDA0003077752650000047
s32: the front wheel steering angle can be obtained by the steering characteristic of the agricultural machinery:
Figure BDA0003077752650000048
wherein
Figure BDA0003077752650000049
The course angle can be obtained by an LOS algorithm; deltae(t) is the steering deviation angle;
the larger the lateral tracking error e (t) and the larger the front wheel steering angle without considering the driving tracking deviation, the following nonlinear proportional function is obtained according to the geometrical relationship, assuming that the expected trajectory of the vehicle intersects with the nearest tangent on a given path from the front wheel extension line d (t):
Figure BDA0003077752650000051
where d (t) is related to vehicle speed, represented by vehicle speed v (t) and gain parameter k.
Front wheel steering deviation angle is cut off from desired path without considering lateral tracking errorThe line direction is coincident, i.e. the front wheel direction is the same as the desired path direction in the absence of lateral error:
Figure BDA0003077752650000052
as the lateral tracking error increases, the non-linear proportional function produces a front wheel slip angle that points directly to the desired path, and:
Figure BDA0003077752650000053
in order to enable the two differential equations to have global gradual stable balance at the zero point error junction, the nonlinear front wheel feedback controller is designed by integrating two control factors as follows:
Figure BDA0003077752650000054
and from the geometrical relationships:
Figure BDA0003077752650000055
therefore, it is not only easy to use
Figure BDA0003077752650000056
Therefore, e (t) has a convergence rate between the linear convergence rate of v (t) and the exponential convergence rate of the gain parameter k, and when the lateral tracking error e (t) is small, (ke (t)/v (t))2Approaching 0, then
Figure BDA0003077752650000057
Integration can give:
e(t)=e(0)*exp-kt
Figure BDA0003077752650000058
for any transverse error, the differential equation is monotonically converged to 0, and the path tracking control target is realized.
And further, wheel steering deviation information obtained by the navigation controller is transmitted to an agricultural machinery lower computer system, the real deviation value is corrected by the values of the steering sensor and the photoelectric encoder, and the corrected deviation value is transmitted to a control mechanism hydraulic system to control the flow and the flow direction of the hydraulic system, so that the steering of the wheels is finally controlled, and the vehicle can run according to a set route.
Through the technical scheme, compared with the prior art, the invention has the following beneficial effects:
in order to solve the problems of poor adaptability, complex system design and unstable control of the agricultural machinery path tracking technology, the invention discloses an agricultural machinery path tracking method based on an LOS theory; the course angle tracked by the agricultural machinery path is obtained by using the LOS algorithm, and the tracking path target point can be automatically switched, so that the updating of state parameters such as the transverse tracking error and the like input by the current controller is ensured, the real-time control on the steering is realized, and the expected tracking path can be converged quickly and stably; and the LOS algorithm does not depend on a system parameter model, can output an accurate agricultural machine course angle when external disturbance is large, enhances the adaptability of the agricultural machine operation environment by combining the designed front wheel feedback nonlinear controller, simplifies the whole control system framework, has high robustness and is suitable for agricultural machinery.
Drawings
FIG. 1 is a diagram of a path tracking system of agricultural machinery based on LOS theory;
FIG. 2 is a LOS control algorithm schematic;
FIG. 3 is a view of a kinematic model of an agricultural machine;
FIG. 4 is a simulation comparison of two system control methods; (a) comparing the graph for the expected tracking path and the actual tracking path; (b) the path is traced for the desired trace and based on the LOS method.
Detailed Description
So that the manner in which the features and advantages of the invention, as well as the manner in which the above recited features and functions are attained and can be understood in detail, a more particular description of the invention, briefly summarized above, may be had by reference to the embodiments thereof which are illustrated in the appended drawings.
As shown in a system structure diagram of fig. 1, an agricultural machinery path tracking method based on LOS theory includes the following steps:
s1, when the agricultural machinery runs on the set straight path, the navigation positioning module acquires the real-time position information of the agricultural machinery;
s2, transmitting the position information to an LOS algorithm device through parameters such as coordinates and transverse tracking errors analyzed by an upper computer system to obtain a current driving course angle;
and S3, outputting the wheel steering angle expected by the system by the front wheel feedback controller according to the course angle and the transverse tracking error, thereby obtaining the steering deviation angle of the wheels, and repeating the steps to realize the path tracking control.
The step S1 specifically includes:
s11, setting the boundary of the agricultural machinery working field block through the Beidou RTK positioning module and the visual recognition CDD module, and then dotting a plurality of parallel linear tracks.
And S12, the Beidou RTK navigation module outputs the position and track point information of the agricultural machine in real time, simultaneously converts the position and track point information and three vertex coordinates of the rectangular field block into a Gaussian plane coordinate system, and stores the planned path into a navigation system in a two-dimensional array form to realize navigation path planning.
The step S11 specifically includes:
determining a rectangle by using an RTK-CCD positioning vision sensor fusion system and measuring three coordinate vertexes of a test field, and assuming a positioning coordinate of a ground node A, B, C, D; taking the longest distance of each operation line as a principle, combining the actual geometric shape of the land, selecting a boundary AD as a reference line of operation line planning, taking the boundary AD as a reference line to define a plurality of parallel operation lines, wherein the distance of the parallel lines is determined according to the operation line distance, the shortest distance between the last operation line and the boundary BC is not less than 1/2 operation distances, taking the focuses of all Q parallel operation lines and the boundaries AB and CD as planning operation line nodes, and storing the corresponding operation line nodes into a two-dimensional array for being called by navigation control software based on a LOS algorithm.
As shown in fig. 2, based on the LOS navigation algorithm processing procedure, step S2 specifically includes:
s21: determining a two-way path point
Figure BDA0003077752650000071
And
Figure BDA0003077752650000072
the defined straight line traces the path, and the origin of the path coordinate system is at
Figure BDA0003077752650000073
The coordinate of the agricultural machine in the coordinate system with the fixed path is pn(t)=[x(t),y(t)]And satisfies the formula:
Figure BDA0003077752650000074
in the formula:
Figure BDA0003077752650000075
αk=atan2(yk+1-yk,xk+1-xk)∈S;
αkfor the north and the south of the geodetic coordinate system and the expected path PkAnd Pk+1The included angle of (a).
S22: let ε (t) ═ s (t), e (t)]T∈R2Wherein:
s(t)=[x(t)-xk]cos(αk)+[y(t)-yk]sin(αk)
e(t)=-[x(t)-xk]sin(αk)+[y(t)-yk]cos(αk)
s (t) is the tracking distance of the agricultural machinery path, e (t) is the transverse tracking error, in the actual path tracking process, we only need to pay attention to the transverse deviation of the agricultural machinery driving, because when the transverse deviation e (t) is 0, it means that the agricultural machinery has converged on the expected tracking path, the path tracking control target is:
Figure BDA0003077752650000081
s23: the LOS navigation algorithm is set as follows:
Figure BDA0003077752650000082
in the formula:
Figure BDA0003077752650000083
Figure BDA0003077752650000084
is the velocity-path correlation angle. Wherein, delta is the forward looking distance of the agricultural machine, and e is the transverse tracking error;
if the agricultural machinery is used as the driving direction angle
Figure BDA0003077752650000085
The course angle is then:
Figure BDA0003077752650000086
the step S3 specifically includes:
s31: as shown in fig. 3, information such as real-time position, wheel speed and rotation angle of the agricultural machine is acquired by a navigation positioning system and a pose acquisition system, and kinematic modeling is performed by combining structural parameters of the agricultural machine and a two-degree-of-freedom model theory, specifically:
considering the path tracking process of the agricultural machinery as low-speed motion in an X-Y plane coordinate system, the following results are obtained according to the upper triangular chord and the lower triangular chord theorem:
Figure BDA0003077752650000087
wherein deltaf、δrRespectively a front wheel turning angle and a rear wheel turning angle; lf、lrRespectively a front wheel base and a rear wheel base;
beta is the direction angle of the running speed of the agricultural machine; r is a turning radius;
two-way degeneracy is multiplied on both sides
Figure BDA0003077752650000088
Obtaining:
Figure BDA0003077752650000091
under the condition of low-speed running working condition of the agricultural machinery, the change rate of the vehicle direction is as follows:
Figure BDA0003077752650000092
namely, it is
Figure BDA0003077752650000093
Since the agricultural machinery does not take into account the rear wheel steering situation, i.e. tan (delta)r) When the content is 0, finishing to obtain:
Figure BDA0003077752650000094
wherein
Figure BDA0003077752650000095
Is the heading angle, v is the speed of travel, and δ is the front wheel steering angle.
In a low-speed working environment, assuming that a wheel rotation direction is consistent with a speed direction, that is, δ is β, a kinematic model is:
Figure BDA0003077752650000096
s32: the front wheel steering angle can be obtained by the steering characteristic of the agricultural machinery:
Figure BDA0003077752650000097
wherein
Figure BDA0003077752650000098
The course angle can be obtained by an LOS algorithm; deltae(t) is a steering deviation angle.
The larger the lateral tracking error e (t) and the larger the front wheel steering angle without considering the driving tracking deviation, the following nonlinear proportional function is obtained according to the geometrical relationship, assuming that the expected trajectory of the vehicle intersects with the nearest tangent on a given path from the front wheel extension line d (t):
Figure BDA0003077752650000099
where d (t) is related to vehicle speed, represented by vehicle speed v (t) and gain parameter k.
The front wheel steering deviation angle coincides with the desired path tangent direction without taking into account the lateral tracking error, i.e. in the absence of lateral error the front wheel direction is the same as the desired path direction:
Figure BDA0003077752650000101
as the lateral tracking error increases, the non-linear proportional function produces a front wheel slip angle that points directly to the desired path, and:
Figure BDA0003077752650000102
in order to enable the two differential equations to have global gradual stable balance at the zero point error junction, the nonlinear front wheel feedback controller is designed by integrating two control factors as follows:
Figure BDA0003077752650000103
and from the geometrical relationships:
Figure BDA0003077752650000104
therefore, it is not only easy to use
Figure BDA0003077752650000105
Therefore, e (t) has a convergence rate between the linear convergence rate of v (t) and the exponential convergence rate of the gain parameter k, and when the lateral tracking error e (t) is small, (ke (t)/v (t))2Approaching 0, then
Figure BDA0003077752650000106
Integration can give:
e(t)=e(0)*exp-kt
Figure BDA0003077752650000107
for any transverse error, the differential equation is monotonically converged to 0, and the path tracking control target is realized.
Through auxiliary equipment such as a GPS, a pose sensor, an angle sensor and the like of an upper computer, a lower computer and the like of the agricultural machine, the collected information of the position, the angle and the like is fed back between the controller and the hydraulic steering transmission system, and the process part of the information feedback is not repeated.
As shown in fig. 4, by comparing the simulations of the path tracking control, it can be concluded that: the agricultural machinery path tracking control method based on the LOS theory can enable the control target to be converged to the expected path more quickly and stably, and has the advantages of less rotation angle change times in the path tracking process, more gentle process and good control effect.
The above description is only for the preferred embodiment of the present invention and is not intended to limit the present invention, and any modification, replacement or improvement without departing from the principle and principle of the present invention is within the protection scope of the present invention.

Claims (6)

1. An agricultural machinery path tracking method based on an LOS theory is characterized by comprising the following steps:
s1, when the agricultural machinery runs on the set straight path, the navigation positioning module acquires the real-time position information of the agricultural machinery;
s2, transmitting the position information to an LOS algorithm device through parameters such as coordinates and transverse tracking errors analyzed by an upper computer system to obtain a current driving course angle;
and S3, outputting the wheel steering angle expected by the system by the front wheel feedback controller according to the course angle and the transverse tracking error, thereby obtaining the steering deviation angle of the wheels, and repeating the steps to realize the path tracking control.
2. The LOS theory-based agricultural machinery path tracking method according to claim 1, wherein the step S1 specifically comprises:
s11, setting the boundary of the agricultural machinery working field block through the Beidou RTK positioning module and the visual recognition CDD module, and then dotting a plurality of parallel linear tracks.
And S12, the Beidou RTK navigation module outputs the position and track point information of the agricultural machine in real time, simultaneously converts the position and track point information and three vertex coordinates of the rectangular field block into a Gaussian plane coordinate system, and stores the planned path into a navigation system in a two-dimensional array form to realize navigation path planning.
3. The method for tracking the agricultural machinery path based on the LOS theory as claimed in claim 2, wherein the step S11 specifically comprises:
determining a rectangle by using an RTK-CCD positioning vision sensor fusion system and measuring three coordinate vertexes of a test field, and assuming a positioning coordinate of a ground node A, B, C, D; taking the longest distance of each operation line as a principle, combining the actual geometric shape of the land, selecting a boundary AD as a reference line of operation line planning, taking the boundary AD as a reference line to define a plurality of parallel operation lines, wherein the distance of the parallel lines is determined according to the operation line distance, the shortest distance between the last operation line and the boundary BC is not less than 1/2 operation distances, taking the focuses of all Q parallel operation lines and the boundaries AB and CD as planning operation line nodes, and storing the corresponding operation line nodes into a two-dimensional array for being called by navigation control software based on a LOS algorithm.
4. The LOS theory-based agricultural machinery path tracking method according to claim 1, wherein the step S2 specifically comprises:
s21: determining a two-way path point
Figure FDA0003077752640000011
And
Figure FDA0003077752640000012
the defined straight line traces the path, and the origin of the path coordinate system is at
Figure FDA0003077752640000013
The coordinate of the agricultural machine in the coordinate system with the fixed path is pn(t)=[x(t),y(t)]And satisfies the formula:
Figure FDA0003077752640000014
in the formula:
Figure FDA0003077752640000021
αk=a tan2(yk+1-yk,xk+1-xk)∈S;αkfor the north and the south of the geodetic coordinate system and the expected path PkAnd Pk+1A is a coefficient;
s22: let ε (t) ═ s (t), e (t)]T∈R2Wherein:
s(t)=[x(t)-xk]cos(αk)+[y(t)-yk]sin(αk)
e(t)=-[x(t)-xk]sin(αk)+[y(t)-yk]cos(αk)
s (t) is the tracking distance of the agricultural machinery path, e (t) is the transverse tracking error, and in the actual path tracking process, only the transverse deviation of the agricultural machinery running is needed to be concerned, because when the transverse deviation e (t) is 0, the agricultural machinery is converged on the expected tracking path, and the path tracking control target is:
Figure FDA0003077752640000022
s23: the LOS navigation algorithm is set as follows:
Figure FDA0003077752640000023
in the formula:
Figure FDA0003077752640000024
Figure FDA0003077752640000025
is the speed-path correlation angle, where Δ is the forward-looking distance of the agricultural machine and e is the lateral tracking error;
if the agricultural machinery is used as the driving direction angle
Figure FDA0003077752640000026
The course angle is then:
Figure FDA0003077752640000027
5. the method for tracking the agricultural machinery path based on the LOS theory as claimed in claim 4, wherein the step S3 specifically comprises:
s31: the method comprises the following steps of acquiring information such as real-time positions, wheel speeds and corners of agricultural machinery through a navigation positioning system and a pose acquisition system respectively, and performing kinematic modeling by combining structural parameters of the agricultural machinery and a two-degree-of-freedom model theory, wherein the kinematic modeling specifically comprises the following steps:
considering the path tracking process of the agricultural machinery as low-speed motion in an X-Y plane coordinate system, the following results are obtained according to the upper triangular chord and the lower triangular chord theorem:
Figure FDA0003077752640000031
wherein deltaf、δrRespectively a front wheel turning angle and a rear wheel turning angle; lf、lrRespectively a front wheel base and a rear wheel base; beta is the direction angle of the running speed of the agricultural machine; r is a turning radius;
two-way degeneracy is multiplied on both sides
Figure FDA0003077752640000032
Obtaining:
Figure FDA0003077752640000033
under the condition of low-speed running working condition of the agricultural machinery, the change rate of the vehicle direction is as follows:
Figure FDA0003077752640000034
namely, it is
Figure FDA0003077752640000035
Since the agricultural machinery does not take into account the rear wheel steering situation, i.e. tan (delta)r) When the content is 0, finishing to obtain:
Figure FDA0003077752640000036
wherein
Figure FDA0003077752640000037
Is a course angle, v is a running speed, and delta is a front wheel rotation angle;
in a low-speed working environment, assuming that a wheel rotation direction is consistent with a speed direction, that is, δ is β, a kinematic model is:
Figure FDA0003077752640000038
S32: the front wheel steering angle can be obtained by the steering characteristic of the agricultural machinery:
Figure FDA0003077752640000041
wherein
Figure FDA0003077752640000042
The course angle can be obtained by an LOS algorithm; deltae(t) is the steering deviation angle;
the larger the lateral tracking error e (t) and the larger the front wheel steering angle without considering the driving tracking deviation, the following nonlinear proportional function is obtained according to the geometrical relationship, assuming that the expected trajectory of the vehicle intersects with the nearest tangent on a given path from the front wheel extension line d (t):
Figure FDA0003077752640000043
wherein d (t) is related to vehicle speed, represented by vehicle speed v (t) and gain parameter k;
the front wheel steering deviation angle coincides with the desired path tangent direction without taking into account the lateral tracking error, i.e. in the absence of lateral error the front wheel direction is the same as the desired path direction:
Figure FDA0003077752640000044
as the lateral tracking error increases, the non-linear proportional function produces a front wheel slip angle that points directly to the desired path, and:
Figure FDA0003077752640000045
in order to enable the two differential equations to have global gradual stable balance at the zero point error junction, the nonlinear front wheel feedback controller is designed by integrating two control factors as follows:
Figure FDA0003077752640000046
and from the geometrical relationships:
Figure FDA0003077752640000047
therefore, it is not only easy to use
Figure FDA0003077752640000048
Therefore, e (t) has a convergence rate between the linear convergence rate of v (t) and the exponential convergence rate of the gain parameter k, and when the lateral tracking error e (t) is small, (ke (t)/v (t))2Approaching 0, then
Figure FDA0003077752640000051
Integration can give:
e(t)=e(0)*exp-kt
Figure FDA0003077752640000052
for any transverse error, the differential equation is monotonically converged to 0, and the path tracking control target is realized.
6. The LOS theory-based agricultural machinery path tracking method as claimed in claim 5, wherein the wheel steering deviation information obtained by the navigation controller is transmitted to an agricultural machinery lower computer system, the real deviation value is corrected by the values of the steering sensor and the photoelectric encoder, and the corrected deviation value is transmitted to a control mechanism hydraulic system to control the flow and the flow direction of the hydraulic system, and finally the steering of the wheels is controlled, so that the vehicle can run according to the set route.
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