CN114115274A - Agricultural wheeled tractor path tracking output feedback control strategy - Google Patents

Agricultural wheeled tractor path tracking output feedback control strategy Download PDF

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CN114115274A
CN114115274A CN202111416983.3A CN202111416983A CN114115274A CN 114115274 A CN114115274 A CN 114115274A CN 202111416983 A CN202111416983 A CN 202111416983A CN 114115274 A CN114115274 A CN 114115274A
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path tracking
unknown
state
disturbance
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丁世宏
丁晨
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
    • G05D1/0212Control of position or course in two dimensions specially adapted to land vehicles with means for defining a desired trajectory
    • G05D1/0223Control of position or course in two dimensions specially adapted to land vehicles with means for defining a desired trajectory involving speed control of the vehicle
    • 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
    • G05D1/0221Control of position or course in two dimensions specially adapted to land vehicles with means for defining a desired trajectory involving a learning process
    • 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
    • G05D1/0276Control of position or course in two dimensions specially adapted to land vehicles using signals provided by a source external to the vehicle

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Abstract

The invention discloses an output feedback control strategy for path tracking of an agricultural wheeled tractor, and belongs to the technical field of navigation of agricultural machinery. The method mainly comprises the following steps: 1. establishing a path tracking model containing disturbance, and converting the path tracking model into a state equation in a strict feedback form; 2. designing a second-order precise differentiator to realize estimation of unknown states related to the course and lumped disturbance in a state equation; 3. selecting a sliding mode surface based on a target of path tracking, and establishing a first-order sliding mode kinetic equation; 4. and designing a controller for outputting feedback to realize a path tracking target. The invention has the advantages that: the controller is designed to only use the position deviation information, and the target of path tracking is realized under the condition that a sensor is not used for measuring course deviation information, so that the sensor cost is reduced; secondly, the controller shortens the response time of the system and improves the tracking precision; and thirdly, the disturbance amount in the system is accurately estimated and synchronously compensated into the controller, so that the disturbance resistance of the system is enhanced.

Description

Agricultural wheeled tractor path tracking output feedback control strategy
Technical Field
The invention relates to a path tracking control technology of a navigation system of an agricultural wheeled tractor, in particular to a path tracking algorithm for output feedback designed by utilizing a state observation technology and a supercoiling control method. Aims to improve the transient performance, tracking precision and stability of the navigation system of the agricultural wheeled tractor, and belongs to the technical field of agricultural machinery navigation.
Background
Agricultural production mechanization and automation are the basis of accurate agriculture implementation, and the higher the agricultural production mechanization and automation degree is, the more beneficial to the implementation of accurate agricultural technology is. The agricultural tractor serves as an important power source for field mechanized operation, can realize a series of tasks such as field operation, field management and the like together with various agricultural implements, and can also realize transportation operation by towing a trailer. However, the control effect of the automatic navigation system is affected by factors such as the mechanical mechanism of the agricultural machinery, the pose sensor, the working condition, the control algorithm and the like, so that the automatic navigation system of the agricultural tractor cannot achieve a satisfactory tracking effect in the actual work. In order to solve the problem, the automatic navigation system not only ensures the operation precision, but also improves the robustness of the navigation system for responding disturbance by researching the path tracking control algorithm of the agricultural machinery navigation system.
In general, a path tracking controller design for a farm tractor navigation system requires the use of vehicle position information and heading information. However, since the sensor installed on the agricultural machine for measuring the heading is susceptible to measurement noise and vehicle shaking, a large error exists in the measured value of the heading information, abnormal fluctuation of the control signal is caused, and the path tracking effect is affected. Therefore, the invention adopts a state observation technology to simultaneously observe the state of the unknown system related to the course in real time and estimate the unknown lumped disturbance in real time; on the basis, a control design of output feedback is carried out by utilizing a supercoiling control method. It is worth pointing out that the developed path tracking control strategy only needs to measure the position information of the vehicle, and realizes the control of the vehicle under the condition of not using a sensor to measure the course information; in addition, the path tracking control algorithm has effectiveness in improving transient path tracking performance, eliminating steady-state errors, improving stability and suppressing disturbance directions.
Disclosure of Invention
The invention provides an output feedback control strategy for path tracking of an agricultural wheeled tractor, which realizes a path tracking control target under the condition of not using course information measured by a sensor. The designed path tracking control algorithm has effectiveness in improving transient path tracking performance of the tractor navigation system, eliminating steady-state errors, improving stability and suppressing disturbance.
An output feedback control strategy for path tracking of an agricultural wheeled tractor comprises the following specific design steps:
analyzing disturbance factors existing in the actual operation process of the agricultural wheeled tractor, and constructing a path tracking model containing disturbance, wherein the path tracking model is used as a reference model designed by a path controller;
step two, introducing coordinate transformation, and converting the path tracking model obtained in the step one into a state equation in a strict feedback form convenient for the design of the controller;
step three, aiming at the unknown system state and the unknown lumped disturbance existing in the state equation obtained in the step two, designing a second-order precise differentiator, and simultaneously realizing real-time observation of the unknown state and precise estimation of the unknown lumped disturbance;
step four, selecting a proper sliding variable based on the target of path tracking, and establishing a first-order sliding mode kinetic equation by combining the state equation obtained in the step two and the precise differentiator in the step three;
and step five, designing an output feedback supercoiled controller based on the state observation technology based on a first-order sliding mode kinetic equation constructed in the step four, and further obtaining the actual control input of the steering angle of the front wheels of the vehicle through inverse transformation.
Specifically, in the first step, the establishing of the path tracking model of the agricultural wheeled tractor is as follows:
Figure BDA0003375518330000021
wherein losAnd thetaosDenotes lateral deviation and heading deviation, respectively, σ is the directional coefficient, v is the longitudinal velocity, ltIs the vehicle wheelbase, δ is the front wheel steering angle, cdIs the curvature of the reference path, and d (t) is the lumped disturbance including system uncertainty and external disturbances.
In the second step, for the convenience of controller design, the path tracking model (1) is converted into a standard form of strict feedback for the convenience of controller design. For convenience, assume that the vehicle is traveling forward and follows the reference path in a clockwise manner, i.e., the direction coefficient σ is-1, and v > 0. Let x1=los,x2=v sinθosAnd u is tan δ, then system (1) can be re-expressed as follows:
Figure BDA0003375518330000022
wherein x is1And x2Is a state variable and u is a virtual control input.
In the third step, the unknown system state x existing in the system (2) is aimed at2Designing a second order precise differentiator for the unknown state x2Performing online observation. To facilitate the design of the state observer, the system (2) is re-represented in the form:
Figure BDA0003375518330000023
wherein the content of the first and second substances,
Figure BDA0003375518330000031
is a lumped perturbation; for unknown system states x present in the system (3)2And unknown lumped perturbation Δ, a second order exact differentiator is designed as follows:
Figure BDA0003375518330000032
wherein L is1,L2And L3For an observed gain that is a positive real number,
Figure BDA0003375518330000033
and
Figure BDA0003375518330000034
representing the observer output variable. By selecting reasonable disturbance observation gain, output state
Figure BDA0003375518330000035
For real-time observation of unknown states x2Output state
Figure BDA0003375518330000036
For estimating the lumped disturbance a.
In the fourth step, considering that the target of the path tracking of the agricultural tractor is to make the lateral deviation and the course deviation converge to zero; for this purpose, the observed value of the unknown state obtained in (4) is used
Figure BDA0003375518330000037
The sliding variables were chosen as follows:
Figure BDA0003375518330000038
where ζ is a positive control parameter. Further, a sliding variable s is derived along the system (3), and a first-order sliding mode dynamic equation can be obtained by combining the state observer (4):
Figure BDA0003375518330000039
wherein the content of the first and second substances,
Figure BDA00033755183300000310
are respectively a state x1And x2The observation error of (2).
In the fifth step, the output feedback continuous supercoiled controller u based on the state observation technology is designed as follows:
Figure BDA00033755183300000311
wherein k is1>0,k2> 0, the sliding variable s will stabilize for a finite time.
Further, when the virtual controller u is inversely transformed to tan (δ), the actual front wheel steering angle δ is:
Figure BDA00033755183300000312
the lateral deviation losAnd heading deviation thetaosConverging to zero.
The invention has the following outstanding beneficial effects:
1. in the invention, the path tracking model is converted into a state equation in a strict feedback form for control design, so that the difficulty of controller design is reduced; the controller design only uses the measured position deviation information, realizes the control of the vehicle under the condition of not using the sensor to measure the course deviation information, and reduces the cost of the sensor.
2. The path tracking algorithm in the invention can not only ensure that the transverse deviation and the course deviation converge to zero in limited time, but also obtain faster system response and higher tracking accuracy.
3. The method is simple and easy to realize, and the disturbance quantity in the system is estimated by the second-order precise differentiator and synchronously compensated into the controller, so that the disturbance resistance robustness of the system is enhanced, and the method has a better control effect.
Drawings
Fig. 1 is a control block diagram of an agricultural wheeled tractor path-following control system of the present invention.
Fig. 2 is a schematic view of the agricultural wheeled tractor path tracking of the present invention.
FIG. 3 is a graph of the time dependence of the perturbation d (t).
FIG. 4 is a response curve of lateral deviation under U-shaped path condition.
FIG. 5 is a response curve of course deviation under the U-shaped path working condition.
FIG. 6 is a response curve of the steering angle of the front wheels under the U-shaped path condition.
Fig. 7 shows the trace result of path tracking under U-shaped path condition.
Detailed Description
The invention provides an output feedback control strategy for path tracking of an agricultural wheeled tractor. In order to make the objects, technical solutions and effects of the present invention clearer and clearer, the technical solutions in the embodiments of the present invention will be described in detail and completely with reference to the drawings in the embodiments of the present invention. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
Fig. 1 is a control block diagram of the agricultural wheeled tractor path tracking control system of the present invention, which mainly includes a control loop module and an observation loop. Fig. 2 is a schematic diagram of the agricultural tractor path tracking of the present invention. The reference speed v of the vehicle is 3m/s and the vehicle wheel base lt1.69m, and the control parameter zeta is 0.5; in addition, assume that the vehicle follows the reference path in a clockwise driving manner, i.e., the direction coefficient σ is-1. An output feedback control strategy for path tracking of an agricultural wheeled tractor is realized by the following steps:
the method comprises the following steps: establishing a path tracking model of the agricultural wheeled tractor containing disturbance as follows:
Figure BDA0003375518330000041
wherein losAnd thetaosDenotes lateral deviation and heading deviation, respectively, σ is the directional coefficient, v is the longitudinal velocity, ltIs the vehicle wheelbase, δ is the front wheel steering angle, cdIs the curvature of the reference path, and d (t) is the lumped disturbance including system uncertainty and external disturbances.
Step two: the path tracking model (1) is converted into a state equation in a strict feedback form.
Let x1=los,x2=v sinθosAnd u is tan δ, the system model (1) is written as the following equation of state:
Figure BDA0003375518330000051
wherein x is1And x2Is the system state and u is the virtual control input.
System (2) is re-represented as follows:
Figure BDA0003375518330000052
wherein the content of the first and second substances,
Figure BDA0003375518330000053
is a lumped perturbation.
Step three: the second order exact differentiator is designed as follows:
Figure BDA0003375518330000054
wherein L is1,L2And L3For an observed gain that is a positive real number,
Figure BDA0003375518330000055
and
Figure BDA0003375518330000056
representing observer output variables, in which the output state
Figure BDA0003375518330000057
And
Figure BDA0003375518330000058
respectively for rapid observation of unknown states x2And aggregate perturbations a.
Step four: and designing a supercoiled output feedback controller based on a state observation technology.
The goal of the farm tractor path tracking is to make the lateral deviation l in fig. 2osAnd heading deviation thetaosConverge to zero, for which the sliding variables are chosen as follows:
Figure BDA0003375518330000059
where ζ is a positive control parameter.
Further, the first derivative is obtained along the system (3) by deriving the sliding variable s, and the first-order sliding mode dynamic equation can be obtained by combining the state observer (4) as follows:
Figure BDA00033755183300000510
wherein the content of the first and second substances,
Figure BDA00033755183300000511
are respectively a state x1And x2The observation error of (2).
According to the first-order sliding mode kinetic equation obtained above, the output feedback continuous supercoiled controller u based on the state observation technology is designed as follows:
Figure BDA0003375518330000061
wherein k is1>0,k2> 0, the sliding variable s will stabilize for a finite time.
Further, when the virtual controller u is inversely transformed to tan (δ), the actual front wheel steering angle δ is:
Figure BDA0003375518330000062
the lateral deviation losAnd heading deviation thetaosConverging to zero.
In order to better verify the control effect of the provided output feedback path tracking algorithm, a simulation platform is set up on the basis of Matlab software, and the simulation platform is used for verifying the effectiveness of the controller under the condition of interference. The simulation adopts an Euler method, and the sampling period is set to be 0.001 ms.
Fig. 3 is a time-varying curve of the disturbance d (t), fig. 4 is a time-varying curve of the lateral deviation under the U-shaped path condition, fig. 5 is a response curve of the heading deviation under the U-shaped path condition, fig. 6 is a response curve of the steering angle of the front wheel under the U-shaped path condition, and fig. 7 is a track result of the path tracking under the U-shaped path condition.
According to simulation results, the supercoiled output feedback controller based on the state observation technology can track the upper reference path in a short time and drive along the reference path under the condition that interference exists, and meanwhile, the proposed control algorithm has good robustness.
While the invention has been described in terms of various specific embodiments, those skilled in the art will recognize that the invention can be practiced with modification within the spirit and scope of the claims. Accordingly, it is contemplated that any obvious modifications, alterations, or variations may be made by those skilled in the art without departing from the spirit of the invention.

Claims (6)

1. An output feedback control strategy for path tracking of an agricultural wheeled tractor is characterized in that: the method comprises the following steps:
analyzing disturbance factors existing in the actual operation process of the agricultural wheeled tractor, and constructing a path tracking model containing disturbance, wherein the path tracking model is used as a reference model designed by a path controller;
step two, introducing coordinate transformation, and converting the path tracking model obtained in the step one into a state equation in a strict feedback form convenient for the design of the controller;
step three, aiming at the unknown system state and the unknown lumped disturbance existing in the state equation obtained in the step two, designing a second-order precise differentiator, and simultaneously realizing real-time observation of the unknown state and precise estimation of the unknown lumped disturbance;
step four, selecting a proper sliding variable based on the target of path tracking, and establishing a first-order sliding mode kinetic equation by combining the state equation obtained in the step two and the precise differentiator in the step three;
and step five, designing an output feedback supercoiled controller based on the state observation technology based on a first-order sliding mode kinetic equation constructed in the step four, and further obtaining the actual control input of the steering angle of the front wheels of the vehicle through inverse transformation.
2. The output feedback control strategy for path tracking of the agricultural wheeled tractor according to claim 1, wherein in the step one, considering that the agricultural machine is influenced by factors such as unmodeled dynamics, sideslip effect and unknown external disturbance in an actual working scene, a path tracking model containing disturbance is established as follows:
Figure FDA0003375518320000011
wherein losAnd thetaosDenotes lateral deviation and heading deviation, respectively, σ is the directional coefficient, v is the longitudinal velocity, ltIs the vehicle wheelbase, δ is the front wheel steering angle, cdIs the curvature of the reference path, and d (t) is the lumped disturbance, mainly including unmodeled dynamics, sideslip effects, and unknown external disturbances.
3. The output feedback control strategy for path tracking of the agricultural wheeled tractor according to claim 1, wherein in the second step, the path tracking model is converted into a state equation in a strict feedback form, which is more beneficial to control design, and the specific implementation process is as follows:
assuming that the vehicle is considered to travel forward and the vehicle tracks the reference path in a clockwise manner, i.e. the direction coefficient σ is-1; let x1=los,x2=vsinθosAnd u is tan δ, then system (1) can be re-expressed as follows:
Figure FDA0003375518320000012
wherein,x1And x2Is the system state, u is the virtual control input; facilitating handling of unknown system states x2System (2) is further represented as follows:
Figure FDA0003375518320000021
wherein the content of the first and second substances,
Figure FDA0003375518320000022
representing unknown lumped disturbances.
4. An output feedback control strategy for path tracking of an agricultural wheeled tractor according to claim 1, wherein in step three, the second order precise differentiator can simultaneously observe the unknown system state x2And estimating an unknown lumped disturbance Δ, which is constructed as follows:
Figure FDA0003375518320000023
wherein L is1,L2And L3For an observed gain that is a positive real number,
Figure FDA0003375518320000024
and
Figure FDA0003375518320000025
representing an observer output variable; it is worth pointing out that the output state in the observer (4)
Figure FDA0003375518320000026
And
Figure FDA0003375518320000027
for rapid observation of unknown states x, respectively2And unknown lumped disturbances a.
5. An output feedback control strategy for path tracking of an agricultural wheeled tractor according to claim 1, wherein in step four, the unknown state estimated using a second order precision differentiator
Figure FDA0003375518320000028
Selecting proper sliding variables, and establishing a first-order sliding mode kinetic equation as follows:
based on the target of the path tracking of the agricultural wheeled tractor, the following sliding variables are selected:
Figure FDA0003375518320000029
where ζ is a positive control parameter; then, a first derivative of the sliding variable s is obtained along the system (3), and a first-order sliding mode dynamic equation is obtained by combining a state observer (4):
Figure FDA00033755183200000210
wherein the content of the first and second substances,
Figure FDA00033755183200000211
respectively represent the system state x1And x2The observation error of (2).
6. An output feedback control strategy for path tracking of an agricultural wheeled tractor according to claim 1, wherein in the fifth step, the output feedback supercoiled controller u based on the state observation technology is designed as follows:
Figure FDA0003375518320000031
wherein k is1>0,k2If > 0, the sliding variable s will be atStable in a limited time;
further, by applying an inverse transformation to the virtual controller u ═ tan (δ), the front wheel steering angle δ is obtained as:
Figure FDA0003375518320000032
the lateral deviation losAnd heading deviation thetaosConverging to zero.
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CN117519133A (en) * 2023-10-20 2024-02-06 天津大学 Unmanned cotton picker track tracking control method based on total disturbance instant observation and model prediction
CN117706923A (en) * 2023-12-11 2024-03-15 常州大学 Method and system for controlling path tracking sliding mode of wheeled tractor with measurement noise
CN117784618A (en) * 2024-02-26 2024-03-29 福州大学 Tracking and tracking layered robust control method for articulated intelligent road sweeper
CN117706923B (en) * 2023-12-11 2024-05-28 常州大学 Method and system for controlling path tracking sliding mode of wheeled tractor with measurement noise

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CN117519133A (en) * 2023-10-20 2024-02-06 天津大学 Unmanned cotton picker track tracking control method based on total disturbance instant observation and model prediction
CN117706923A (en) * 2023-12-11 2024-03-15 常州大学 Method and system for controlling path tracking sliding mode of wheeled tractor with measurement noise
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