CN113985895A - AGV path tracking method based on optimization - Google Patents
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- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05D—SYSTEMS FOR CONTROLLING OR REGULATING NON-ELECTRIC VARIABLES
- G05D1/00—Control of position, course or altitude of land, water, air, or space vehicles, e.g. automatic pilot
- G05D1/02—Control of position or course in two dimensions
- G05D1/021—Control of position or course in two dimensions specially adapted to land vehicles
- G05D1/0212—Control of position or course in two dimensions specially adapted to land vehicles with means for defining a desired trajectory
- G05D1/0223—Control 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
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- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05D—SYSTEMS FOR CONTROLLING OR REGULATING NON-ELECTRIC VARIABLES
- G05D1/00—Control of position, course or altitude of land, water, air, or space vehicles, e.g. automatic pilot
- G05D1/02—Control of position or course in two dimensions
- G05D1/021—Control of position or course in two dimensions specially adapted to land vehicles
- G05D1/0212—Control of position or course in two dimensions specially adapted to land vehicles with means for defining a desired trajectory
- G05D1/0221—Control of position or course in two dimensions specially adapted to land vehicles with means for defining a desired trajectory involving a learning process
Abstract
The invention discloses an AGV path tracking method based on optimization, wherein each path point comprises the position of a current point and an expected yaw angle of the point, the expected yaw angle is the tangent angle of a curve where the path point is located, the current closest point of the pose where the AGV is located is calculated, finally, the corresponding path length is calculated according to the running speed and the target time of the AGV, and all path points from the closest point to the path length are output. According to the invention, the transverse control law of the vehicle is adjusted on line in real time by using an optimization tool according to the factors of the path and the running speed of the vehicle, so that the accurate control of path tracking and the robustness of running speed change are realized; and mainly relate to the AGV field, the main effect is that improve links such as commodity circulation transport, production AGV path tracking's precision, improve horizontal control to the robustness to the path change and the robustness to vehicle longitudinal speed change, this online optimization strategy can be adjusted according to actual conditions simultaneously, can realize optimal control effect.
Description
Technical Field
The invention relates to the technical field of logistics, in particular to an AGV path tracking method based on optimization.
Background
In the field of production logistics and storage logistics, as labor cost rises and robotics develops rapidly, an AGV gradually becomes a trend, the AGV integrates positioning, sensing, navigation, control and other technologies, wherein a path tracking technology belongs to a basic and important technology, a control method based on a pre-aiming point is generally adopted in the traditional path tracking technology, the pre-aiming distance is usually fixed or changes according to the running speed, the tracking path of the AGV is generally a straight line, an arc, a Bezier curve and the like, and the traditional method for tracking the curve is usually poor due to the fact that the pre-aiming distance does not consider the path change.
Disclosure of Invention
The invention aims to provide an AGV path tracking method based on optimization so as to solve the problems in the background technology.
In order to achieve the purpose, the invention provides the following technical scheme: an optimization-based AGV path tracking method comprises the following steps:
A. path discretization into path points: each path point comprises the position of the current point and an expected yaw angle of the point, the expected yaw angle is the tangent angle of the curve where the path point is located, the current closest point of the pose where the AGV is located is calculated, finally, the corresponding optimized path length is calculated according to the running speed and the target time of the AGV, and all path points from the closest point to the optimized path length are output;
B. optimizing the AGV heading angle: then, the value range of the AGV heading angle to be determined is solved according to the angular velocity limit and the angular acceleration limit of the AGV heading, and finally, an optimization problem is solved according to the performance index and the limiting condition, so that the optimal heading for path tracking is obtained, wherein the optimization problem is as follows: wherein, theta is an AGV heading angle to be confirmed; n is the number of path points; diWhen the AGV heading angle is theta, the shortest distance from the ith path point to the vehicle running path is obtained; thetaiIs the tangent angle of the curve where the ith path point is located; thetaminAnd thetamaxIs the upper and lower bound of the AGV heading angle constraint; w1And W2The weights of the distance error and the course error are respectively;
C. course control: firstly, estimating equivalent disturbance and angular velocity values of a controlled object by using a first-order linear ESO (extended state observer), wherein the input of the ESO is input u (a last moment command course angle) of the controlled object and output y (an actual angular velocity) of the controlled object; and designing a PD control law according to the angular speed observed by the ESO, the actual course angle and the expected course angle, and finally obtaining the current expected course angle according to the uncertainty of the equivalent interference feedforward compensation system observed by the ESO.
ESO is an extended state observer, the formula is as follows:
l1and l2Is a parameter of ESO, y is an actual angular velocity, u is a controlled variable, z1Is an angular velocity estimate, z2Is an interference estimate. Preferably, curves such as straight lines and circular arcs are uniformly written in the form of bezier curves so that all paths are mathematically consistent, and the paths are discretized into path points.
Preferably, the performance index is designed according to the path generation path point, the current position and the AGV heading angle to be determined.
Preferably, according to the optimally output AGV command course angle, the command angular speed of the AGV chassis is output by course control, and aiming at the problem that different course angle characteristics of AGV loads are different, the ADRC is adopted in the design of a control algorithm to realize the tracking and interference suppression functions of the command course angle so as to realize accurate control.
Compared with the prior art, the invention has the following beneficial effects:
1. according to the invention, the transverse control law of the vehicle is adjusted on line in real time by using an optimization tool according to the factors of the path and the running speed of the vehicle, so that the accurate control of path tracking and the robustness of running speed change are realized; and mainly relate to the AGV field, the main effect is that improve links such as commodity circulation transport, production AGV path tracking's precision, improve horizontal control to the robustness to the path change and the robustness to vehicle longitudinal speed change, this online optimization strategy can be adjusted according to actual conditions simultaneously, can realize optimal control effect.
Drawings
FIG. 1 is a flow chart of the path tracking optimization of the present invention;
FIG. 2 is a block diagram of a control module according to the present invention.
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. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
In the description herein, it is to be understood that the terms "center," "upper," "lower," "front," "rear," "left," "right," "vertical," "horizontal," "top," "bottom," "inner," "outer," and the like are used in the orientations and positional relationships indicated in the drawings to facilitate the description of the patent and to simplify the description, but do not indicate or imply that the referenced device or element must have a particular orientation, be constructed and operated in a particular orientation, and thus are not to be considered limiting of the patent. In the description of the present application, it should be noted that unless otherwise explicitly stated or limited, the terms "mounted," "connected," and "disposed" are to be construed broadly and can, for example, be fixedly connected, disposed, detachably connected, disposed, or integrally connected and disposed. The specific meaning of the above terms in this patent may be understood by those of ordinary skill in the art as appropriate.
Referring to fig. 1-2, an optimized AGV path tracking method includes the following steps:
A. path discretization into path points: each path point comprises the position of the current point and an expected yaw angle of the point, the expected yaw angle is the tangent angle of the curve where the path point is located, the current closest point of the pose where the AGV is located is calculated, finally, the corresponding optimized path length is calculated according to the running speed and the target time of the AGV, and all path points from the closest point to the optimized path length are output;
B. optimizing the AGV heading angle: then, the value range of the AGV heading angle to be determined is solved according to the angular velocity limit and the angular acceleration limit of the AGV heading, and finally, an optimization problem is solved according to the performance index and the limiting condition, so that the optimal heading for path tracking is obtained, wherein the optimization problem is as follows: wherein, theta is an AGV heading angle to be confirmed; n is the number of path points; diWhen the AGV heading angle is theta, the shortest distance from the ith path point to the vehicle running path is obtained; thetaiIs the tangent angle of the curve where the ith path point is located; thetaminAnd thetamaxIs the upper and lower bound of the AGV heading angle constraint; w1And W2The weights of the distance error and the course error are respectively;
C. course control: firstly, estimating equivalent disturbance and angular velocity values of a controlled object by using a first-order linear ESO (extended state observer), wherein the input of the ESO is input u (a last moment command course angle) of the controlled object and output y (an actual angular velocity) of the controlled object; and designing a PD control law according to the angular speed observed by the ESO, the actual course angle and the expected course angle, and finally obtaining the current expected course angle according to the uncertainty of the equivalent interference feedforward compensation system observed by the ESO.
ESO is an extended state observer, the formula is as follows:
l1and l2Is a parameter of ESO, y is an actual angular velocity, u is a controlled variable, z1Is an angular velocity estimate, z2Is an interference estimate.
The first embodiment is as follows:
an optimization-based AGV path tracking method comprises the following steps:
A. path discretization into path points: each path point comprises the position of the current point and an expected yaw angle of the point, the expected yaw angle is the tangent angle of the curve where the path point is located, the current closest point of the pose where the AGV is located is calculated, finally, the corresponding optimized path length is calculated according to the running speed and the target time of the AGV, and all path points from the closest point to the optimized path length are output;
B. optimizing the AGV heading angle: then, the value range of the AGV heading angle to be determined is solved according to the angular velocity limit and the angular acceleration limit of the AGV heading, and finally, an optimization problem is solved according to the performance index and the limiting condition, so that the optimal heading for path tracking is obtained, wherein the optimization problem is as follows: wherein, theta is an AGV heading angle to be confirmed; n is the number of path points; diWhen the AGV heading angle is theta, the shortest distance from the ith path point to the vehicle running path is obtained; thetaiIs the tangent angle of the curve where the ith path point is located; thetaminAnd thetamaxIs the upper and lower bound of the AGV heading angle constraint; w1And W2The weights of the distance error and the course error are respectively;
C. course control: firstly, estimating equivalent disturbance and angular velocity values of a controlled object by using a first-order linear ESO (extended state observer), wherein the input of the ESO is input u (a last moment command course angle) of the controlled object and output y (an actual angular velocity) of the controlled object; and designing a PD control law according to the angular speed observed by the ESO, the actual course angle and the expected course angle, and finally obtaining the current expected course angle according to the uncertainty of the equivalent interference feedforward compensation system observed by the ESO.
ESO is an extended state observer, the formula is as follows:
l1and l2Is a parameter of ESO, y is an actual angular velocity, u is a controlled variable, z1Is an angular velocity estimate, z2Is an interference estimate.
Although embodiments of the present invention have been shown and described, it will be appreciated by those skilled in the art that changes, modifications, substitutions and alterations can be made in these embodiments without departing from the principles and spirit of the invention, the scope of which is defined in the appended claims and their equivalents.
Claims (4)
1. An AGV path tracking method based on optimization is characterized in that: the path tracking method comprises the following steps:
A. path discretization into path points: each path point comprises the position of the current point and an expected yaw angle of the point, the expected yaw angle is the tangent angle of the curve where the path point is located, the current closest point of the pose where the AGV is located is calculated, finally, the corresponding optimized path length is calculated according to the running speed and the target time of the AGV, and all path points from the closest point to the optimized path length are output;
B. optimizing the AGV heading angle: then, the value range of the AGV heading angle to be determined is solved according to the angular velocity limit and the angular acceleration limit of the AGV heading, and finally, the optimization problem is solved according to the performance index and the limiting condition, so that the optimal heading for path tracking is obtained, wherein the optimization problem is as follows: wherein, theta is an AGV heading angle to be confirmed; n is the number of path points; diWhen the AGV heading angle is theta, the shortest distance from the ith path point to the vehicle running path is obtained; thetaiIs the tangent angle of the curve where the ith path point is located; thetaminAnd thetamaxIs the upper and lower bound of the AGV heading angle constraint; w1And W2The weights of the distance error and the course error are respectively;
C. course control: firstly, estimating equivalent disturbance and angular velocity values of a controlled object by using a first-order linear ESO (extended state observer), wherein the input of the ESO is input u (a last moment command course angle) of the controlled object and output y (an actual angular velocity) of the controlled object; designing a PD control law according to the angular speed observed by the ESO, the actual course angle and the expected course angle, and finally obtaining the current expected course angle according to the uncertainty of an equivalent interference feedforward compensation system observed by the ESO;
ESO is an extended state observer, the formula is as follows:
l1and l2Is a parameter of ESO, y is an actual angular velocity, u is a controlled variable, z1Is an angular velocity estimate, z2Is an interference estimate.
2. The optimized AGV path tracking method according to claim 1, further comprising: curves such as straight lines, circular arcs and the like are uniformly written in the form of Bezier curves so that all paths are consistent in mathematical form, and the paths are discretized into path points.
3. The optimized AGV path tracking method according to claim 1, further comprising: and generating path points and the current position according to the path and designing a performance index of the AGV course angle to be determined.
4. The optimized AGV path tracking method according to claim 1, further comprising: according to the optimized output AGV command course angle, the course control outputs the command angular speed of an AGV chassis, aiming at the problem that different course angle characteristics of AGV loads are different, the design of a control algorithm adopts ADRC to realize the tracking and interference suppression functions of the command course angle so as to realize accurate control.
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