WO2017219640A1 - Trajectory planning method and device for mechanical arm - Google Patents

Trajectory planning method and device for mechanical arm Download PDF

Info

Publication number
WO2017219640A1
WO2017219640A1 PCT/CN2016/113194 CN2016113194W WO2017219640A1 WO 2017219640 A1 WO2017219640 A1 WO 2017219640A1 CN 2016113194 W CN2016113194 W CN 2016113194W WO 2017219640 A1 WO2017219640 A1 WO 2017219640A1
Authority
WO
WIPO (PCT)
Prior art keywords
intersection
ray
robot arm
joint
point
Prior art date
Application number
PCT/CN2016/113194
Other languages
French (fr)
Chinese (zh)
Inventor
罗汉杰
Original Assignee
广州视源电子科技股份有限公司
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by 广州视源电子科技股份有限公司 filed Critical 广州视源电子科技股份有限公司
Publication of WO2017219640A1 publication Critical patent/WO2017219640A1/en

Links

Images

Classifications

    • BPERFORMING OPERATIONS; TRANSPORTING
    • B25HAND TOOLS; PORTABLE POWER-DRIVEN TOOLS; MANIPULATORS
    • B25JMANIPULATORS; CHAMBERS PROVIDED WITH MANIPULATION DEVICES
    • B25J9/00Programme-controlled manipulators
    • B25J9/16Programme controls
    • B25J9/1656Programme controls characterised by programming, planning systems for manipulators
    • B25J9/1664Programme controls characterised by programming, planning systems for manipulators characterised by motion, path, trajectory planning
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B25HAND TOOLS; PORTABLE POWER-DRIVEN TOOLS; MANIPULATORS
    • B25JMANIPULATORS; CHAMBERS PROVIDED WITH MANIPULATION DEVICES
    • B25J9/00Programme-controlled manipulators
    • B25J9/16Programme controls
    • B25J9/1602Programme controls characterised by the control system, structure, architecture
    • B25J9/161Hardware, e.g. neural networks, fuzzy logic, interfaces, processor

Definitions

  • the invention relates to the field of trajectory planning of a mechanical arm, and in particular to a trajectory planning method and device for a mechanical arm.
  • the trajectory of the manipulator needs to be planned.
  • the trajectory planning is implemented by a predetermined speed planning algorithm.
  • a predetermined speed planning algorithm For example, an S-type (Double S) speed planning algorithm can be used.
  • S-type (Double S) speed planning algorithm can be used.
  • Some speed planning algorithms need to receive the start and end points provided by the user in advance when planning the trajectory. Then the program will generate a series of interpolation points between the two points to describe the trajectory of the arm. For example, in the teaching function, the user sends an instruction through the handheld device, so that the robot arm starts from the starting point and moves linearly in a certain direction until reaching the boundary of the working area (ie, the end point).
  • the starting position is specified by the user, so it can be obtained very simply, but the position of the end point (ie the boundary of the working area) is determined by the structure of the robot arm and needs to be obtained by monitoring or calculation.
  • the traditional method is realized by continuously monitoring whether the current robot arm has reached the limit position, but this method requires detection of all the position points on the path, and the efficiency is low and the calculation amount is large.
  • an object of the present invention is to provide a method and a device for trajectory planning of a robot arm, which can know the position of the end point in advance before the movement, and facilitate the planning of the motion trajectory of the robot.
  • the invention provides a trajectory planning method for a mechanical arm, comprising the following steps:
  • a motion trajectory of the robot arm is planned based on coordinates of the starting point and coordinates of the end point to control movement of the robot arm according to a planned motion trajectory.
  • the robot arm is a SCARA type robot arm.
  • the joint parameter includes a joint type, an arm length between the joints, and a range of motion of the joint; and the generating the working area of the mechanical arm based on the joint parameter of the mechanical arm to be operated, specifically comprising:
  • a coordinate system for generating each joint is established based on the DH coordinate system
  • the working area of the robot arm is generated according to the coordinate system of each joint, the range of motion of each joint, and the arm length between the joints.
  • the generating a ray according to a coordinate and a moving direction of the starting point input in advance, and calculating an intersection of the ray and the boundary of the working area to generate a set of intersection points specifically:
  • Decomposing the working area into at least two arcs obtaining a circle center, a radius, and a central angle range of each arc, and generating an equation of a circle corresponding to each arc;
  • the generating a ray according to the coordinates and the moving direction of the starting point input in advance, and calculating the intersection of the ray and each circle is specifically:
  • a ray is generated according to the coordinates and the moving direction of the starting point input in advance, and the ray equation is associated with the equation of each circle, and the intersection of the ray and each circle is calculated based on the parametric equation method.
  • the generating a ray according to the coordinates and the moving direction of the starting point input in advance, and calculating the intersection of the ray and each circle is specifically:
  • a ray is generated according to the coordinates and the moving direction of the starting point input in advance, and the intersection of the ray and each circle is calculated based on an optimization algorithm of the ray and circle intersection test.
  • the invention also provides a trajectory planning device for a mechanical arm, comprising:
  • a work area generating unit configured to generate a working area of the mechanical arm based on a joint parameter of the mechanical arm to be operated
  • An intersection point generating unit configured to generate a ray according to a coordinate and a moving direction of the starting point input in advance, and calculate an intersection of the ray and a boundary of the working area to generate a set of intersection points;
  • An end point marking unit configured to calculate a distance between each intersection point in the intersection point set and the starting point, acquire coordinates of an intersection point corresponding to the minimum distance, and mark the intersection point as an end point;
  • a motion trajectory planning unit is configured to plan a motion trajectory of the robot arm based on coordinates of the starting point and coordinates of the end point to control movement of the robot arm according to a planned motion trajectory.
  • the robot arm is a SCARA type robot arm.
  • the joint parameter includes a joint type, an arm length between the joints, and an active range of the joint; and the working area generating unit specifically includes:
  • a coordinate system generating module configured to generate a coordinate system for generating each joint based on a joint type of the robot arm and a relative positional relationship between the joints;
  • a work area generating module is configured to generate a working area of the robot arm according to a coordinate system of each joint, an active range of each joint, and an arm length between the joints.
  • intersection set generating unit specifically includes:
  • a working area decomposition module configured to decompose the working area into at least two arcs, obtain a circle center, a radius and a central angle range of each arc, and generate an equation of a circle corresponding to each arc;
  • An intersection calculation module configured to generate a ray according to a coordinate and a moving direction of the starting point input in advance, and calculate an intersection of the ray and each circle;
  • a judging module configured to calculate an arc angle of the intersection point on a circle where the intersection point is located, and when the arc angle angle is within the circle center angle range, determine that the intersection point is located on the arc line,
  • the intersection points are stored in a preset set to generate a set of intersection points.
  • a method and a device for planning a motion trajectory of a mechanical arm by calculating a working area of the mechanical arm, and calculating an intersection of a ray generated by a coordinate and a moving direction of the starting point input in advance and a boundary of the working area, and Obtaining the coordinates of the intersection having the smallest distance from the starting point, obtaining an end point corresponding to the starting point and the moving direction, and then planning the motion trajectory according to the starting point and the coordinates of the ending point.
  • the invention is based on a geometric method to determine the boundary of the working area of the robot arm, so that the robot can know the position of the end point in advance before the movement, so that the robot can plan the motion trajectory.
  • FIG. 1 is a schematic flow chart of a method for trajectory planning of a robot arm according to an embodiment of the present invention.
  • FIG. 2 is a schematic structural view of a SCARA type robot arm.
  • FIG. 3 is a schematic view of the SCARA type robot arm shown in FIG. 2 in a DH coordinate system.
  • Fig. 4 is a schematic view showing the working area of the SCARA type robot arm shown in Fig. 2.
  • Figure 5 is a plan view of the work area shown in Figure 4.
  • Figure 6 is a schematic view of the connection of the ray to the working area.
  • FIG. 7 is an algorithm for calculating an intersection of a ray and a circle by an optimization algorithm of a ray-circle intersection test according to an embodiment of the present invention. Schematic diagram of the process.
  • FIG. 9 is a schematic structural diagram of a trajectory planning device for a robot arm according to an embodiment of the present invention.
  • FIG. 10 is a schematic structural diagram of a work area generating unit of FIG. 9.
  • FIG. 11 is a schematic structural diagram of an intersection set generation unit of FIG. 9.
  • an embodiment of the present invention provides a method for trajectory planning of a robot arm.
  • the trajectory planning method of the robot arm may be performed by a trajectory planning device of a robot arm, and at least includes the following steps:
  • the robot arm is the most widely used automatic mechanical device in the field of robot technology, and is widely used in the fields of industrial manufacturing, medical treatment, entertainment service, military, semiconductor manufacturing, and space exploration. Although they differ in their form, they all share a common feature of being able to accept instructions and accurately position them at a certain point in the three-dimensional (or two-dimensional) space according to the instructions.
  • a robotic arm includes a plurality of joints, each joint having joint parameters, which may include joint type, arm length (length of the connecting arm connecting the two joints), range of motion, and the like.
  • the joint type may include a rotating joint and a sliding joint
  • the rotating joint may control the rotation of the connecting arm
  • the sliding joint may realize the vertical sliding of the connecting arm.
  • the working area of the robot arm can be controlled by a combination of different joints. Specifically, the working area of the robot arm can be determined by the following steps:
  • a coordinate system for generating each joint is established based on the DH coordinate system.
  • a SCARA (Selective Compliant Articulated Robot for Assembly) type robot arm is exemplified, which has four joints J1, J2, J3, and J4, wherein J1, J2, and J4 are rotating joints, and J1 and J2, J2 and J4 are connected by corresponding connecting arms, and J3 is a sliding joint.
  • J1, J2, and J4 are rotating joints
  • J1 and J2, J2 and J4 are connected by corresponding connecting arms
  • J3 is a sliding joint
  • the coordinate system of each joint can be established based on the DH (Denavit-Hartenberg) coordinate system, wherein the rotational axes of the rotating joints Ji and their respective The zi axis (the connecting arm of the rotating joint Ji rotates around the zi axis) is parallel to each other, the arm length of the connecting arm is ⁇ i, ⁇ i
  • the zi axis is determined, the direction of the first joint pointing to the second joint can be used as the xi direction, and the direction of yi can be determined based on the right hand rule, thus, the coordinate system of each joint is generated.
  • S1012 Generate a working area of the robot arm according to a coordinate system of each joint, an active range of each joint, and an arm length between the joints.
  • the range of motion is the range of the angle of rotation of the connecting arm rotation, and for the sliding joint, the range of motion is The upper and lower movement range of the connecting arm can generate the working area of the mechanical arm (as shown in FIG. 4). At this time, it is only necessary to project on the plane to generate a top view as shown in FIG. 5.
  • S102 Generate a ray according to the coordinates and the moving direction of the starting point input in advance, and calculate an intersection of the ray and the boundary of the working area to generate a set of intersection points.
  • the robot arm when teaching with a robot arm, the most common function is that the user sends an instruction through the handheld device, so that the robot arm starts from a preset starting point and moves linearly in a certain direction until reaching the working area.
  • the boundary end point
  • the robot arm in order to obtain the end point, may include:
  • S1021 Decompose the working area into at least two arcs, obtain a circle center, a radius, and a central angle range of each arc, and generate an equation of a circle corresponding to each arc.
  • the working area of the robot arm is Four arcs are enclosed.
  • the four arcs are located on four circles: ⁇ O 1 , ⁇ O 2 , ⁇ O 3 , ⁇ O 4 .
  • the center O 1 , O 4 coincides with the J 1 axis;
  • O 2 and O 3 are the positions of the J 2 axis when the J 1 axis is rotated to the positive and negative limits, respectively.
  • the maximum range of motion in the positive/negative direction of the axis J i respectively ⁇ j i
  • S1022 Generate a ray according to the coordinates and the moving direction of the starting point input in advance, and calculate an intersection of the ray and each circle.
  • the starting point is I
  • the direction vector is n
  • the equation of the ray R(u) when calculating the intersection point, the equation of the ray R(u) can be sequentially connected with the equation of each circle, and obtained by using the parametric equation method.
  • intersections obtained above intersect with the circle, but are not located on the arc, and thus need to be removed.
  • the ray IP intersects ⁇ O 1 at point N, respectively; ⁇ O 2 intersects point K and point M; ⁇ O 4 intersects point J and point L; and ⁇ O 3 does not Intersection.
  • the points K, N are on the circle, but are not on the arc of the working area, so after obtaining the intersection point, it is also necessary to check whether the arc angle ⁇ i of the intersection point satisfies
  • the working area does not necessarily consist of an arc of a circle.
  • the working area may be composed of an elliptical arc or a mixture of arcs of different types of geometric shapes.
  • the equations and angular ranges of the geometric shapes corresponding to the arcs may be obtained, and then The method can be used to calculate and generate a set of intersection points.
  • the distance between each intersection point and the starting point I can be calculated by the Euler formula, and then each calculated distance is compared, and the coordinates of the intersection point corresponding to the minimum distance are obtained, and the The intersection point is marked as the end point, at which point the boundary of the desired work area is obtained.
  • S104 Plan a motion trajectory of the robot arm based on coordinates of the starting point and coordinates of the end point to control movement of the robot arm according to a planned motion trajectory.
  • the motion trajectory of the robot arm may be planned according to the coordinates of the starting point and the coordinates of the ending point.
  • a seven-segment motion process can be planned, and the seven-segment motion process is realized.
  • the robot arm moves smoothly and rapidly from the starting point (the initial velocity is zero) to the end point (the final velocity is also zero).
  • the method for planning a motion trajectory of a mechanical arm generates a working area of the mechanical arm, and then calculates a boundary between a ray generated by a coordinate and a moving direction of the starting point input in advance and a boundary of the working area. And intersecting the coordinates of the intersection point having the smallest distance from the starting point, obtaining an end point corresponding to the starting point and the moving direction, and then planning the motion trajectory according to the starting point and the coordinates of the ending point.
  • the invention is based on a geometric method to determine the boundary of the working area of the robot arm, so that the robot can know the position of the end point in advance before the movement, so that the robot can plan the motion trajectory.
  • step S1022 after the ray is generated, a conventional parametric equation method may be used to find an intersection point, or may be used.
  • An optimization algorithm based on the ray and circle intersection test is proposed to calculate the intersection of the ray and each circle.
  • Fig. 8(a) first calculate the vector from the starting point I to the center of the circle O i vector length And vector Projection along the
  • the ray has two intersections with the circle O i , respectively as well as (As shown in Figure 8(a)). If a 2 ⁇ r i 2 , then the starting point I is located in the circle O i . At this time, the ray has an intersection with the circle O i , which is I+(l+q) ⁇
  • an embodiment of the present invention further provides a trajectory planning apparatus 100 for a robot arm, including:
  • the work area generating unit 10 is configured to generate a working area of the mechanical arm based on joint parameters of the mechanical arm to be operated.
  • the intersection set generating unit 20 is configured to generate a ray according to the coordinates and the moving direction of the starting point input in advance, and calculate an intersection of the ray and the boundary of the working area to generate a set of intersection points;
  • the end point marking unit 30 is configured to calculate a distance between each intersection point in the intersection point set and the starting point, acquire coordinates of an intersection point corresponding to the minimum distance, and mark the intersection point as an end point;
  • the motion trajectory planning unit 40 is configured to plan a motion trajectory of the robot arm based on the coordinates of the starting point and the coordinates of the end point to control the motion of the robot arm according to the planned motion trajectory.
  • the mechanical arm is a SCARA type mechanical arm.
  • the working area generating unit 10 specifically includes:
  • the coordinate system generating module 11 is configured to establish a coordinate system for generating each joint based on the joint type of the robot arm and the relative positional relationship between the joints based on the DH coordinate system.
  • the working area generating module 12 is configured to generate a working area of the mechanical arm according to a coordinate system of each joint, an active range of each joint, and an arm length between the joints.
  • intersection set generating unit 20 specifically includes:
  • the working area decomposition module 21 is configured to decompose the working area into at least two arcs, obtain a circle center, a radius and a central angle range of each arc, and generate an equation of a circle corresponding to each arc.
  • the intersection calculation module 22 is configured to generate a ray according to the coordinates and the moving direction of the starting point input in advance, and calculate an intersection of the ray and each circle.
  • intersection calculation module 22 can directly calculate the intersection of the ray and each circle, and directly calculate the ray and each circle, or calculate the algorithm based on the intersection of the ray and the circle intersection test.
  • the intersection of the ray and each circle is not specifically limited in the present invention.
  • a judging module 23 configured to calculate a radian angle of the intersection point on a circle where the intersection point is located, and is located at the radian angle When the central angle is within the range, it is determined that the intersection is located on the arc, and the intersection is stored in a preset set to generate a set of intersections.
  • the motion trajectory planning apparatus 100 of the robot arm generates the working area of the robot arm by the working area generating unit 10, and then calculates the starting point input by the intersection point generating unit 20.
  • the coordinates and the intersection of the ray generated by the moving direction and the boundary of the working area, and the coordinates of the intersection having the smallest distance from the starting point are acquired by the end marking unit 30, the end point corresponding to the starting point and the moving direction is obtained, and finally the motion The trajectory planning unit 40 performs planning of the motion trajectory according to the starting point and the coordinates of the ending point.
  • the invention is based on a geometric method to determine the boundary of the working area of the robot arm, so that the robot can know the position of the end point in advance before the movement, so that the robot can plan the motion trajectory.
  • the storage medium may be a magnetic disk, an optical disk, a read-only memory (ROM), or a random access memory (RAM).

Abstract

A trajectory planning method and device for a mechanical arm. The planning method comprises: generating, on the basis of joint parameters of a machine arm that is to work, a work area of the mechanism arm; generating a ray according to the coordinate of a start point input in advance and a moving direction, and calculating intersection points between the ray and the boundary of the work area to generate an intersection point set; calculating the distance between each intersection point in the intersection point set and the start point to obtain the coordinate of an intersection point corresponding to the minimum distance, and marking the intersection point as an end point; and planning the movement trajectory of the mechanical arm on the basis of the coordinate of the start point and the coordinate of the end point. The trajectory planning method for a mechanical arm determines the boundary of the work area of the mechanical arm on the basis of a geometric method, so that a robot can know the position of the end point in advance before moving, thereby facilitating planning the movement trajectory by the robot.

Description

一种机械臂的轨迹规划方法及装置Method and device for trajectory planning of mechanical arm 技术领域Technical field
本发明涉及机械臂运动轨迹规划领域,尤其涉及一种机械臂的轨迹规划方法及装置。The invention relates to the field of trajectory planning of a mechanical arm, and in particular to a trajectory planning method and device for a mechanical arm.
背景技术Background technique
在机械臂的工作过程中,需要对机械臂的轨迹进行规划,一般来说,这种轨迹规划都是通过预定的速度规划算法来实现的,例如,可使用S型(Double S)速度规划算法来完成机械臂的轨迹规划。In the working process of the manipulator, the trajectory of the manipulator needs to be planned. Generally, the trajectory planning is implemented by a predetermined speed planning algorithm. For example, an S-type (Double S) speed planning algorithm can be used. To complete the trajectory planning of the robot arm.
有些速度规划算法在进行轨迹规划时,需要事先接收用户提供的起点和终点的位置,然后程序会在两点之间生成一系列的插补点来描述机械臂的运行轨迹。比如在示教功能中,用户通过手持设备发送指令,使得机械臂从起点出发,一直沿某个方向直线运动,直至到达到工作区域的边界(即终点)。Some speed planning algorithms need to receive the start and end points provided by the user in advance when planning the trajectory. Then the program will generate a series of interpolation points between the two points to describe the trajectory of the arm. For example, in the teaching function, the user sends an instruction through the handheld device, so that the robot arm starts from the starting point and moves linearly in a certain direction until reaching the boundary of the working area (ie, the end point).
其中,起点位置是由用户指定的,因而可以很简单获得,但是终点的位置(即工作区域的边界)是由机械臂的结构决定的,需要通过监测或计算获得。传统的方法是通过不断监测当前机械臂的是否已经是到达极限位置来实现,但是这种方法需要对路径上所有的位置点进行检测,效率低,且计算量大。Among them, the starting position is specified by the user, so it can be obtained very simply, but the position of the end point (ie the boundary of the working area) is determined by the structure of the robot arm and needs to be obtained by monitoring or calculation. The traditional method is realized by continuously monitoring whether the current robot arm has reached the limit position, but this method requires detection of all the position points on the path, and the efficiency is low and the calculation amount is large.
发明内容Summary of the invention
针对上述问题,本发明的目的在于提供一种机械臂的轨迹规划方法及装置,在运动前就可以提前知道终点的位置,方便机器人进行运动轨迹的规划。In view of the above problems, an object of the present invention is to provide a method and a device for trajectory planning of a robot arm, which can know the position of the end point in advance before the movement, and facilitate the planning of the motion trajectory of the robot.
本发明提供了一种机械臂的轨迹规划方法,包括如下步骤:The invention provides a trajectory planning method for a mechanical arm, comprising the following steps:
基于待工作的机械臂的关节参数,生成所述机械臂的工作区域;Generating a working area of the robot arm based on joint parameters of the robot arm to be operated;
根据预先输入的起点的坐标及移动方向生成一条射线,并计算所述射线与所述工作区域的边界的交点,生成交点集合;Generating a ray according to a coordinate and a moving direction of the starting point input in advance, and calculating an intersection of the ray and a boundary of the working area to generate a set of intersection points;
计算所述交点集合内的每个交点与所述起点的距离,获取与最小距离对应的交点的坐标,并将所述交点标记为终点;Calculating a distance between each intersection point in the intersection set and the starting point, acquiring coordinates of an intersection point corresponding to the minimum distance, and marking the intersection point as an end point;
基于所述起点的坐标以及所述终点的坐标,对所述机械臂的运动轨迹进行规划,以控制所述机械臂根据规划的运动轨迹进行运动。 A motion trajectory of the robot arm is planned based on coordinates of the starting point and coordinates of the end point to control movement of the robot arm according to a planned motion trajectory.
优选地,所述机械臂为SCARA型机械臂。Preferably, the robot arm is a SCARA type robot arm.
优选地,所述关节参数包括关节类型、关节之间的臂长及关节的活动范围;则所述基于待工作的机械臂的关节参数,生成所述机械臂的工作区域,具体包括:Preferably, the joint parameter includes a joint type, an arm length between the joints, and a range of motion of the joint; and the generating the working area of the mechanical arm based on the joint parameter of the mechanical arm to be operated, specifically comprising:
根据机械臂的关节类型及关节之间的相对位置关系,基于DH坐标系建立生成每个关节的坐标系;According to the joint type of the robot arm and the relative positional relationship between the joints, a coordinate system for generating each joint is established based on the DH coordinate system;
根据每个关节的坐标系、每个关节的活动范围及关节之间的臂长,生成所述机械臂的工作区域。The working area of the robot arm is generated according to the coordinate system of each joint, the range of motion of each joint, and the arm length between the joints.
优选地,所述根据预先输入的起点的坐标及移动方向生成一条射线,并计算所述射线与所述述工作区域的边界的交点,生成交点集合,具体为:Preferably, the generating a ray according to a coordinate and a moving direction of the starting point input in advance, and calculating an intersection of the ray and the boundary of the working area to generate a set of intersection points, specifically:
将所述工作区域分解为至少两段弧线,获取每段弧线的圆心、半径及圆心角范围,并生成与每段弧线对应的圆的方程;Decomposing the working area into at least two arcs, obtaining a circle center, a radius, and a central angle range of each arc, and generating an equation of a circle corresponding to each arc;
根据预先输入的起点的坐标及移动方向生成一条射线,计算所述射线与每个圆的交点;Generating a ray according to the coordinates and the moving direction of the starting point input in advance, and calculating the intersection of the ray and each circle;
计算所述交点在所述交点所在的圆上的弧度角,并在所述弧度角位于所述圆心角范围内时,将所述交点存入预设的集合,生成交点集合。Calculating an arc angle of the intersection point on a circle where the intersection point is located, and when the arc angle angle is within the circle center angle range, storing the intersection point into a preset set to generate a intersection point set.
优选地,所述根据预先输入的起点的坐标及移动方向生成一条射线,计算所述射线与每个圆的交点具体为:Preferably, the generating a ray according to the coordinates and the moving direction of the starting point input in advance, and calculating the intersection of the ray and each circle is specifically:
根据预先输入的起点的坐标及移动方向生成一条射线,将所述射线方程与每个圆的方程进行联立,基于参数方程法计算所述射线与每个圆的交点。A ray is generated according to the coordinates and the moving direction of the starting point input in advance, and the ray equation is associated with the equation of each circle, and the intersection of the ray and each circle is calculated based on the parametric equation method.
优选地,所述根据预先输入的起点的坐标及移动方向生成一条射线,计算所述射线与每个圆的交点具体为:Preferably, the generating a ray according to the coordinates and the moving direction of the starting point input in advance, and calculating the intersection of the ray and each circle is specifically:
根据预先输入的起点的坐标及移动方向生成一条射线,基于射线与圆相交测试的优化算法计算所述射线与每个圆的交点。A ray is generated according to the coordinates and the moving direction of the starting point input in advance, and the intersection of the ray and each circle is calculated based on an optimization algorithm of the ray and circle intersection test.
本发明还提供了一种机械臂的轨迹规划装置,包括:The invention also provides a trajectory planning device for a mechanical arm, comprising:
工作区域生成单元,用于基于待工作的机械臂的关节参数,生成所述机械臂的工作区域;a work area generating unit, configured to generate a working area of the mechanical arm based on a joint parameter of the mechanical arm to be operated;
交点集合生成单元,用于根据预先输入的起点的坐标及移动方向生成一条射线,并计算所述射线与所述工作区域的边界的交点,生成交点集合;An intersection point generating unit configured to generate a ray according to a coordinate and a moving direction of the starting point input in advance, and calculate an intersection of the ray and a boundary of the working area to generate a set of intersection points;
终点标记单元,用于计算所述交点集合内的每个交点与所述起点的距离,获取与最小距离对应的交点的坐标,并将所述交点标记为终点;An end point marking unit, configured to calculate a distance between each intersection point in the intersection point set and the starting point, acquire coordinates of an intersection point corresponding to the minimum distance, and mark the intersection point as an end point;
运动轨迹规划单元,用于基于所述起点的坐标以及所述终点的坐标,对所述机械臂的运动轨迹进行规划,以控制所述机械臂根据规划的运动轨迹进行运动。a motion trajectory planning unit is configured to plan a motion trajectory of the robot arm based on coordinates of the starting point and coordinates of the end point to control movement of the robot arm according to a planned motion trajectory.
优选地,所述机械臂为SCARA型机械臂。 Preferably, the robot arm is a SCARA type robot arm.
优选地,所述关节参数包括关节类型、关节之间的臂长及关节的活动范围;则所述工作区域生成单元具体包括:Preferably, the joint parameter includes a joint type, an arm length between the joints, and an active range of the joint; and the working area generating unit specifically includes:
坐标系生成模块,用于根据机械臂的关节类型及关节之间的相对位置关系,基于DH坐标系建立生成每个关节的坐标系;a coordinate system generating module, configured to generate a coordinate system for generating each joint based on a joint type of the robot arm and a relative positional relationship between the joints;
工作区域生成模块,用于根据每个关节的坐标系、每个关节的活动范围及关节之间的臂长,生成所述机械臂的工作区域。A work area generating module is configured to generate a working area of the robot arm according to a coordinate system of each joint, an active range of each joint, and an arm length between the joints.
优选地,所述交点集合生成单元具体包括:Preferably, the intersection set generating unit specifically includes:
工作区域分解模块,用于将所述工作区域分解为至少两段弧线,获取每段弧线的圆心、半径及圆心角范围,并生成与每段弧线对应的圆的方程;a working area decomposition module, configured to decompose the working area into at least two arcs, obtain a circle center, a radius and a central angle range of each arc, and generate an equation of a circle corresponding to each arc;
交点计算模块,用于根据预先输入的起点的坐标及移动方向生成一条射线,计算所述射线与每个圆的交点;An intersection calculation module, configured to generate a ray according to a coordinate and a moving direction of the starting point input in advance, and calculate an intersection of the ray and each circle;
判断模块,用于计算所述交点在所述交点所在的圆上的弧度角,并在所述弧度角位于所述圆心角范围内时,确定所述交点位于所述弧线上,将所述交点存入预设的集合,生成交点集合。a judging module, configured to calculate an arc angle of the intersection point on a circle where the intersection point is located, and when the arc angle angle is within the circle center angle range, determine that the intersection point is located on the arc line, The intersection points are stored in a preset set to generate a set of intersection points.
本发明实施例提供的机械臂的运动轨迹规划方法及装置,通过生成所述机械臂的工作区域,再计算由预先输入的起点的坐标及移动方向生成的射线与工作区域的边界的交点,并获取与起点具有最小距离的交点的坐标,获得与所述起点及移动方向相应的终点,再根据所述起点以及所述终点的坐标进行运动轨迹的规划。本发明基于几何的方法来确定机械臂工作区域的边界因此机器人在运动前就可以提前知道终点的位置,方便机器人进行运动轨迹的规划。A method and a device for planning a motion trajectory of a mechanical arm according to an embodiment of the present invention, by calculating a working area of the mechanical arm, and calculating an intersection of a ray generated by a coordinate and a moving direction of the starting point input in advance and a boundary of the working area, and Obtaining the coordinates of the intersection having the smallest distance from the starting point, obtaining an end point corresponding to the starting point and the moving direction, and then planning the motion trajectory according to the starting point and the coordinates of the ending point. The invention is based on a geometric method to determine the boundary of the working area of the robot arm, so that the robot can know the position of the end point in advance before the movement, so that the robot can plan the motion trajectory.
附图说明DRAWINGS
为了更清楚地说明本发明的技术方案,下面将对实施方式中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本发明的一些实施方式,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图。In order to more clearly illustrate the technical solutions of the present invention, the drawings used in the embodiments will be briefly described below. It is obvious that the drawings in the following description are only some embodiments of the present invention, which are common in the art. For the skilled person, other drawings can be obtained from these drawings without any creative work.
图1是本发明实施例提供的机械臂的轨迹规划方法的流程示意图。FIG. 1 is a schematic flow chart of a method for trajectory planning of a robot arm according to an embodiment of the present invention.
图2是SCARA型机械臂的结构示意图。2 is a schematic structural view of a SCARA type robot arm.
图3是图2所示的SCARA型机械臂在DH坐标系的示意图。3 is a schematic view of the SCARA type robot arm shown in FIG. 2 in a DH coordinate system.
图4是图2所示的SCARA型机械臂的工作区域示意图。Fig. 4 is a schematic view showing the working area of the SCARA type robot arm shown in Fig. 2.
图5是图4所示的工作区域的俯视图。Figure 5 is a plan view of the work area shown in Figure 4.
图6是射线与工作区域的连接示意图。Figure 6 is a schematic view of the connection of the ray to the working area.
图7是本发明实施例提供的通过射线与圆相交测试的优化算法来计算射线与圆的交点的 流程示意图。FIG. 7 is an algorithm for calculating an intersection of a ray and a circle by an optimization algorithm of a ray-circle intersection test according to an embodiment of the present invention. Schematic diagram of the process.
图8(a)至(c)是图7所示的优化算法的原理图。8(a) to (c) are schematic diagrams of the optimization algorithm shown in Fig. 7.
图9是本发明实施例提供的机械臂的轨迹规划装置的结构示意图。FIG. 9 is a schematic structural diagram of a trajectory planning device for a robot arm according to an embodiment of the present invention.
图10是图9的工作区域生成单元的结构示意图。FIG. 10 is a schematic structural diagram of a work area generating unit of FIG. 9.
图11是图9的交点集合生成单元的结构示意图。FIG. 11 is a schematic structural diagram of an intersection set generation unit of FIG. 9.
具体实施方式detailed description
下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The technical solutions in the embodiments of the present invention are clearly and completely described in the following with reference to the accompanying drawings in the embodiments of the present invention. It is obvious that the described embodiments are only a part of the embodiments of the present invention, but not all embodiments. All other embodiments obtained by those skilled in the art based on the embodiments of the present invention without creative efforts are within the scope of the present invention.
请参阅图1,本发明实施例提供一种机械臂的轨迹规划方法,所述机械臂的轨迹规划方法可由机械臂的轨迹规划装置来执行,并至少包括如下步骤:Referring to FIG. 1 , an embodiment of the present invention provides a method for trajectory planning of a robot arm. The trajectory planning method of the robot arm may be performed by a trajectory planning device of a robot arm, and at least includes the following steps:
S101,基于待工作的机械臂的关节参数,生成所述机械臂的工作区域。S101. Generate a working area of the mechanical arm based on joint parameters of the mechanical arm to be operated.
在本发明实施例中,机械臂是机器人技术领域中最广泛应用的自动化机械装置,其广泛应用于工业制造、医学治疗、娱乐服务、军事、半导体制造以及太空探索等领域。尽管它们的形态各有不同,但它们都有一个共同的特点,就是能够接受指令,并根据指令精确地定位到三维(或二维)空间上的某一点进行作业。In the embodiment of the present invention, the robot arm is the most widely used automatic mechanical device in the field of robot technology, and is widely used in the fields of industrial manufacturing, medical treatment, entertainment service, military, semiconductor manufacturing, and space exploration. Although they differ in their form, they all share a common feature of being able to accept instructions and accurately position them at a certain point in the three-dimensional (or two-dimensional) space according to the instructions.
一般来说,一个机械臂包括若干个关节,每个关节都具有关节参数,所述关节参数可包括关节类型、臂长(连接两个关节的连接臂的长度)、活动范围等。其中,所述关节类型可包括转动关节及滑动关节,转动关节可控制连接臂的转动,而滑动关节可实现连接臂的垂直滑动。通过不同关节的组合,即可控制所述机械臂的工作区域。具体地,可通过如下步骤来确定所述机械臂的工作区域:In general, a robotic arm includes a plurality of joints, each joint having joint parameters, which may include joint type, arm length (length of the connecting arm connecting the two joints), range of motion, and the like. Wherein, the joint type may include a rotating joint and a sliding joint, the rotating joint may control the rotation of the connecting arm, and the sliding joint may realize the vertical sliding of the connecting arm. The working area of the robot arm can be controlled by a combination of different joints. Specifically, the working area of the robot arm can be determined by the following steps:
S1011,根据机械臂的关节类型及关节之间的相对位置关系,基于DH坐标系建立生成每个关节的坐标系。S1011, according to the joint type of the robot arm and the relative positional relationship between the joints, a coordinate system for generating each joint is established based on the DH coordinate system.
如图2所示,以SCARA(Selective Compliant Articulated Robot for Assembly)型机械臂为例,其具有4个关节J1,J2,J3,J4,其中J1,J2,J4为转动关节,且J1与J2,J2与J4通过相应的连接臂进行连接,而J3为滑动关节。当然,应当理解的是,本发明还可应用于其他类型的机械臂,在此不做赘述。As shown in FIG. 2, a SCARA (Selective Compliant Articulated Robot for Assembly) type robot arm is exemplified, which has four joints J1, J2, J3, and J4, wherein J1, J2, and J4 are rotating joints, and J1 and J2, J2 and J4 are connected by corresponding connecting arms, and J3 is a sliding joint. Of course, it should be understood that the present invention is also applicable to other types of robot arms, and details are not described herein.
在确定上述关节后,需要针对每个关节建立坐标系,如图3所示,可基于DH(Denavit-Hartenberg)坐标系来建立每个关节的坐标系,其中转动关节Ji的转动轴与各自的 zi轴(转动关节Ji的连接臂绕zi轴转动)互相平行,连接臂的臂长为αi,{i|i∈{1,2,4}};滑动关节J3的轴(z3轴)跟J4的轴(z4轴)平行。在确定出zi轴后,可用第一个关节指向第二个关节的方向作为xi方向,而yi的方向可基于右手定则来确定,如此,即生成了每个关节的坐标系。After determining the above joints, it is necessary to establish a coordinate system for each joint. As shown in Fig. 3, the coordinate system of each joint can be established based on the DH (Denavit-Hartenberg) coordinate system, wherein the rotational axes of the rotating joints Ji and their respective The zi axis (the connecting arm of the rotating joint Ji rotates around the zi axis) is parallel to each other, the arm length of the connecting arm is αi, {i|i∈{1, 2, 4}}; the axis of the sliding joint J3 (z3 axis) and J4 The axes (z4 axes) are parallel. After the zi axis is determined, the direction of the first joint pointing to the second joint can be used as the xi direction, and the direction of yi can be determined based on the right hand rule, thus, the coordinate system of each joint is generated.
S1012,根据每个关节的坐标系、每个关节的活动范围及关节之间的臂长,生成所述机械臂的工作区域。S1012: Generate a working area of the robot arm according to a coordinate system of each joint, an active range of each joint, and an arm length between the joints.
在本发明实施例中,在生成每个关节的坐标系后,根据每个关节的活动范围(对于转动关节,其活动范围为其连接臂转动的转动角范围,对于滑动关节,其活动范围为其连接臂的上下运动范围),即可生成所述机械臂的工作区域(如图4所示),此时,只需在平面进行投影即可生成如图5所示的俯视图。In the embodiment of the present invention, after generating the coordinate system of each joint, according to the range of motion of each joint (for the rotating joint, the range of motion is the range of the angle of rotation of the connecting arm rotation, and for the sliding joint, the range of motion is The upper and lower movement range of the connecting arm can generate the working area of the mechanical arm (as shown in FIG. 4). At this time, it is only necessary to project on the plane to generate a top view as shown in FIG. 5.
S102,根据预先输入的起点的坐标及移动方向生成一条射线,并计算所述射线与所述工作区域的边界的交点,生成交点集合。S102: Generate a ray according to the coordinates and the moving direction of the starting point input in advance, and calculate an intersection of the ray and the boundary of the working area to generate a set of intersection points.
具体的,在利用机械臂进行示教时,最常用的功能为用户通过手持设备发送指令,使得所述机械臂从预设的起点出发,并一直沿某个方向直线移动,直至到达到工作区域的边界(终点)。其中,所述机械臂在移动时需事先知道终点才能进行运动轨迹的规划,在本发明实施例中,为了获得所述终点,具体地,可包括:Specifically, when teaching with a robot arm, the most common function is that the user sends an instruction through the handheld device, so that the robot arm starts from a preset starting point and moves linearly in a certain direction until reaching the working area. The boundary (end point). In the embodiment of the present invention, in order to obtain the end point, the robot arm may include:
S1021,将所述工作区域分解为至少两段弧线,获取每段弧线的圆心、半径及圆心角范围,并生成与每段弧线对应的圆的方程。S1021: Decompose the working area into at least two arcs, obtain a circle center, a radius, and a central angle range of each arc, and generate an equation of a circle corresponding to each arc.
从图5中可以看出,所述机械臂的工作区域是由
Figure PCTCN2016113194-appb-000001
四段弧线所围成。而这四段弧线分别位于⊙O1,⊙O2,⊙O3,⊙O4四个圆上。圆心O1,O4与J1轴重合;O2和O3分别为J1轴转动到正负极限时J2轴的位置。
Figure PCTCN2016113194-appb-000002
Figure PCTCN2016113194-appb-000003
分别是轴Ji的正/负方向的最大活动范围,
Figure PCTCN2016113194-appb-000004
{ji|-π≤ji≤π}。
As can be seen from Figure 5, the working area of the robot arm is
Figure PCTCN2016113194-appb-000001
Four arcs are enclosed. The four arcs are located on four circles: ⊙O 1 , ⊙O 2 , ⊙O 3 , ⊙O 4 . The center O 1 , O 4 coincides with the J 1 axis; O 2 and O 3 are the positions of the J 2 axis when the J 1 axis is rotated to the positive and negative limits, respectively.
Figure PCTCN2016113194-appb-000002
with
Figure PCTCN2016113194-appb-000003
The maximum range of motion in the positive/negative direction of the axis J i , respectively
Figure PCTCN2016113194-appb-000004
{j i | -π≤j i ≤π} .
这四段弧线的详细参数可参照表1所示:The detailed parameters of these four arcs can be seen in Table 1:
表1Table 1
Figure PCTCN2016113194-appb-000005
Figure PCTCN2016113194-appb-000005
其中: among them:
Figure PCTCN2016113194-appb-000006
Figure PCTCN2016113194-appb-000006
S1022,根据预先输入的起点的坐标及移动方向生成一条射线,计算所述射线与每个圆的交点。S1022: Generate a ray according to the coordinates and the moving direction of the starting point input in advance, and calculate an intersection of the ray and each circle.
在本发明实施例中,假设起点为I,方向向量为n,||n||为方向向量n的单位向量。则此时射线可表示为R(u)=I+u·||n||。In the embodiment of the present invention, it is assumed that the starting point is I, the direction vector is n, and ||n|| is a unit vector of the direction vector n. Then the ray can be expressed as R(u)=I+u·||n||.
如果起点I位于工作区域内,则射线R(u)必与某圆⊙Oi有交点
Figure PCTCN2016113194-appb-000007
If the starting point I is in the working area, the ray R(u) must intersect with a circle ⊙O i
Figure PCTCN2016113194-appb-000007
其中,在计算交点时,可通过将射线R(u)的方程依次与每个圆的方程进行联立,在利用参数方程法求解获得。Wherein, when calculating the intersection point, the equation of the ray R(u) can be sequentially connected with the equation of each circle, and obtained by using the parametric equation method.
S1023,计算所述交点在所述交点所在的圆上的弧度角,并在所述弧度角位于所述圆心角范围内时,确定所述交点位于所述弧线上,将所述交点存入预设的集合,生成交点集合。S1023, calculating an arc angle of the intersection point on a circle where the intersection point is located, and when the arc angle angle is within the circle center angle range, determining that the intersection point is located on the arc line, and depositing the intersection point A preset collection that generates a collection of intersections.
在本发明实施例中,上述求得的交点中,有些虽然与圆相交,但是并没有位于弧线上,因而需要去除。具体地,如图6所示,射线IP分别与⊙O1相交于点N;与⊙O2相交于点K和点M;与⊙O4相交于点J和点L;与⊙O3没有交点。其中,点K,N虽然在圆上,但是并不在围成所述工作区域的弧线上,所以在得到交点后,还要查看所述交点的弧度角θi是否满足
Figure PCTCN2016113194-appb-000008
In the embodiment of the present invention, some of the intersections obtained above intersect with the circle, but are not located on the arc, and thus need to be removed. Specifically, as shown in FIG. 6, the ray IP intersects ⊙O 1 at point N, respectively; ⊙O 2 intersects point K and point M; ⊙O 4 intersects point J and point L; and ⊙O 3 does not Intersection. Wherein, the points K, N are on the circle, but are not on the arc of the working area, so after obtaining the intersection point, it is also necessary to check whether the arc angle θ i of the intersection point satisfies
Figure PCTCN2016113194-appb-000008
具体地,假设点s(x,y)是⊙Oi上的一个点,则点s相对于⊙Oi的弧度角θi为:Specifically, assuming that the point s (x, y) is a point on ⊙O i, with respect to the point s ⊙O i θ i is the angle in radians:
Figure PCTCN2016113194-appb-000009
Figure PCTCN2016113194-appb-000009
通过上述公式就可以确定哪些交点是在弧线上,哪些不在。此时,将那些位于弧线上的交点存入预设的集合ξ={κi}中,生成交点集合。Through the above formula, you can determine which intersections are on the arc and which are not. At this point, those intersections located on the arc are stored in the preset set ξ={κ i } to generate a set of intersections.
需要说明的是,在本发明的其他实施例中,所述工作区域并不一定是由圆的弧线组成。例如,所述工作区域可能由椭圆的弧线组成或者由不同类型的几何形状的弧线混合组成,此时,同理,可获得这些弧线对应的几何形状的方程及角度范围,再通过上述的方法即可计算生成交点集合,这些技术方案均在本发明的保护范围之内,在此不做赘述。It should be noted that, in other embodiments of the present invention, the working area does not necessarily consist of an arc of a circle. For example, the working area may be composed of an elliptical arc or a mixture of arcs of different types of geometric shapes. At this time, similarly, the equations and angular ranges of the geometric shapes corresponding to the arcs may be obtained, and then The method can be used to calculate and generate a set of intersection points. These technical solutions are all within the scope of the present invention and will not be described herein.
S103,计算所述交点集合内的每个交点与所述起点的距离,获取与最小距离对应的交点 的坐标,并将所述交点标记为终点。S103. Calculate a distance between each intersection point in the intersection set and the starting point, and obtain an intersection point corresponding to the minimum distance. Coordinates and mark the intersection as the end point.
在本发明实施例中,可通过欧拉公式计算得到每个交点与所述起点I的距离,然后对计算得到的每个距离进行比较,获取与最小距离对应的交点的坐标,并将所述交点标记为终点,此时,即得到所需的工作区域的边界。In the embodiment of the present invention, the distance between each intersection point and the starting point I can be calculated by the Euler formula, and then each calculated distance is compared, and the coordinates of the intersection point corresponding to the minimum distance are obtained, and the The intersection point is marked as the end point, at which point the boundary of the desired work area is obtained.
S104,基于所述起点的坐标以及所述终点的坐标,对所述机械臂的运动轨迹进行规划,以控制所述机械臂根据规划的运动轨迹进行运动。S104. Plan a motion trajectory of the robot arm based on coordinates of the starting point and coordinates of the end point to control movement of the robot arm according to a planned motion trajectory.
在本发明实施例中,在获得与所述起点及所述移动方向对应的终点的坐标后,即可根据所述起点的坐标以及所述终点的坐标,对所述机械臂的运动轨迹进行规划。In the embodiment of the present invention, after obtaining the coordinates of the end point corresponding to the starting point and the moving direction, the motion trajectory of the robot arm may be planned according to the coordinates of the starting point and the coordinates of the ending point. .
例如,以典型的S型速度规划算法为例,其在接收到所述起点的坐标、所述终点的坐标后,即可规划得到七段运动过程,并通过这七段运动过程实现了将所述机械臂从所述起点(初速度为零)平稳快速的移动到所述终点(末速度也为零)。For example, taking a typical S-type speed planning algorithm as an example, after receiving the coordinates of the starting point and the coordinates of the ending point, a seven-segment motion process can be planned, and the seven-segment motion process is realized. The robot arm moves smoothly and rapidly from the starting point (the initial velocity is zero) to the end point (the final velocity is also zero).
综上所述,本发明实施例提供的机械臂的运动轨迹规划方法,通过生成所述机械臂的工作区域,再计算由预先输入的起点的坐标及移动方向生成的射线与工作区域的边界的交点,并获取与起点具有最小距离的交点的坐标,获得与所述起点及移动方向相应的终点,再根据所述起点以及所述终点的坐标进行运动轨迹的规划。本发明基于几何的方法来确定机械臂工作区域的边界因此机器人在运动前就可以提前知道终点的位置,方便机器人进行运动轨迹的规划。In summary, the method for planning a motion trajectory of a mechanical arm according to an embodiment of the present invention generates a working area of the mechanical arm, and then calculates a boundary between a ray generated by a coordinate and a moving direction of the starting point input in advance and a boundary of the working area. And intersecting the coordinates of the intersection point having the smallest distance from the starting point, obtaining an end point corresponding to the starting point and the moving direction, and then planning the motion trajectory according to the starting point and the coordinates of the ending point. The invention is based on a geometric method to determine the boundary of the working area of the robot arm, so that the robot can know the position of the end point in advance before the movement, so that the robot can plan the motion trajectory.
为了便于对本发明的理解,下面将对本发明的一些优选实施例做进一步的描述。In order to facilitate an understanding of the present invention, some preferred embodiments of the present invention are further described below.
优选地,针对步骤S1022,在生成所述射线后,可以使用传统的参数方程法求交点,也可以使用
Figure PCTCN2016113194-appb-000010
等提出的基于射线与圆相交测试的优化算法来计算所述射线与每个圆的交点。
Preferably, for step S1022, after the ray is generated, a conventional parametric equation method may be used to find an intersection point, or may be used.
Figure PCTCN2016113194-appb-000010
An optimization algorithm based on the ray and circle intersection test is proposed to calculate the intersection of the ray and each circle.
具体地,如图7所示,设射线的参数方程为R(u)=I+u·||n||,其中||n||是单位长度。如图8(a)所示,首先计算出从起点I出发到圆心Oi的向量
Figure PCTCN2016113194-appb-000011
向量
Figure PCTCN2016113194-appb-000012
的长度
Figure PCTCN2016113194-appb-000013
以及向量
Figure PCTCN2016113194-appb-000014
沿着||n||方向的投影
Figure PCTCN2016113194-appb-000015
若a2>ri 2且l<0,则说明起点位于⊙Oi外,且射线的方向沿远离⊙Oi方向延伸,因此所述射线与⊙Oi不相交(如图8(b)所示),此时完成第一次排除测试。否则,利用勾股定理计算出圆心Oi与投影之间距离的平方:m2=a2-l2,若m2>ri 2,则可以判定射线与圆Oi一定不相交,完成第二次排除测试。如果射线和⊙Oi经过两次排除测试,则就可以判定它们一定相交。接下来,计算射线与⊙Oi的交点:首先,计算出距离
Figure PCTCN2016113194-appb-000016
然后判断起点I是否位于⊙Oi内,若a2>ri 2,则说明起点I位于⊙Oi外,此时,所述射线与圆 Oi有两个交点,分别为
Figure PCTCN2016113194-appb-000017
以及
Figure PCTCN2016113194-appb-000018
(如图8(a)所示)。若a2<ri 2,则说明起点I位于圆Oi内,此时,所述射线与圆Oi有一个交点,为I+(l+q)·||n||(如图8(c)所示)。
Specifically, as shown in FIG. 7, the parameter equation of the ray is R(u)=I+u·||n||, where ||n|| is a unit length. As shown in Fig. 8(a), first calculate the vector from the starting point I to the center of the circle O i
Figure PCTCN2016113194-appb-000011
vector
Figure PCTCN2016113194-appb-000012
length
Figure PCTCN2016113194-appb-000013
And vector
Figure PCTCN2016113194-appb-000014
Projection along the ||n|| direction
Figure PCTCN2016113194-appb-000015
If a 2 >r i 2 and l<0, then the starting point is outside ⊙O i and the direction of the ray extends away from the ⊙O i direction, so the ray does not intersect ⊙O i (Fig. 8(b) As shown), the first exclusion test is completed at this time. Otherwise, use the Pythagorean theorem to calculate the square of the distance between the center O i and the projection: m 2 = a 2 - l 2 , if m 2 > r i 2 , then it can be determined that the ray and the circle O i must not intersect, complete the first Secondary exclusion test. If the ray and ⊙O i are subjected to two exclusion tests, it can be determined that they must intersect. Next, calculate the intersection of the ray and ⊙O i : first, calculate the distance
Figure PCTCN2016113194-appb-000016
Then, it is determined whether the starting point I is located in ⊙O i . If a 2 >r i 2 , then the starting point I is located outside the ⊙O i . At this time, the ray has two intersections with the circle O i , respectively
Figure PCTCN2016113194-appb-000017
as well as
Figure PCTCN2016113194-appb-000018
(As shown in Figure 8(a)). If a 2 <r i 2 , then the starting point I is located in the circle O i . At this time, the ray has an intersection with the circle O i , which is I+(l+q)·||n|| (Fig. 8( c) shown).
本优选方案中,在计算射线与圆的交点之前,先通过两次测试判断射线与圆是否有交点,在计算时,仅计算与射线有交点的圆,而不需要对那些与射线没有交点的圆进行计算,如此,减小了计算量,提升了计算效率。In the preferred embodiment, before calculating the intersection of the ray and the circle, it is first determined whether there is an intersection of the ray and the circle by two tests. In the calculation, only the circle having the intersection with the ray is calculated, and there is no need for those points that do not intersect with the ray. The circle is calculated, thus reducing the amount of calculation and improving the calculation efficiency.
请一并参阅图9,本发明实施例还提供一种机械臂的轨迹规划装置100,其包括:Referring to FIG. 9 , an embodiment of the present invention further provides a trajectory planning apparatus 100 for a robot arm, including:
工作区域生成单元10,用于基于待工作的机械臂的关节参数,生成所述机械臂的工作区域。The work area generating unit 10 is configured to generate a working area of the mechanical arm based on joint parameters of the mechanical arm to be operated.
交点集合生成单元20,用于根据预先输入的起点的坐标及移动方向生成一条射线,并计算所述射线与所述工作区域的边界的交点,生成交点集合;The intersection set generating unit 20 is configured to generate a ray according to the coordinates and the moving direction of the starting point input in advance, and calculate an intersection of the ray and the boundary of the working area to generate a set of intersection points;
终点标记单元30,用于计算所述交点集合内的每个交点与所述起点的距离,获取与最小距离对应的交点的坐标,并将所述交点标记为终点;The end point marking unit 30 is configured to calculate a distance between each intersection point in the intersection point set and the starting point, acquire coordinates of an intersection point corresponding to the minimum distance, and mark the intersection point as an end point;
运动轨迹规划单元40,用于基于所述起点的坐标以及所述终点的坐标,对所述机械臂的运动轨迹进行规划,以控制所述机械臂根据规划的运动轨迹进行运动。The motion trajectory planning unit 40 is configured to plan a motion trajectory of the robot arm based on the coordinates of the starting point and the coordinates of the end point to control the motion of the robot arm according to the planned motion trajectory.
其中,优选地,所述机械臂为SCARA型机械臂。Preferably, the mechanical arm is a SCARA type mechanical arm.
其中,优选地,请一并参阅图10,所述工作区域生成单元10具体包括:Preferably, the working area generating unit 10 specifically includes:
坐标系生成模块11,用于根据机械臂的关节类型及关节之间的相对位置关系,基于DH坐标系建立生成每个关节的坐标系。The coordinate system generating module 11 is configured to establish a coordinate system for generating each joint based on the joint type of the robot arm and the relative positional relationship between the joints based on the DH coordinate system.
工作区域生成模块12,用于根据每个关节的坐标系、每个关节的活动范围及关节之间的臂长,生成所述机械臂的工作区域。The working area generating module 12 is configured to generate a working area of the mechanical arm according to a coordinate system of each joint, an active range of each joint, and an arm length between the joints.
其中,优选地,请一并参阅图11,所述交点集合生成单元20具体包括:Preferably, please refer to FIG. 11 together, the intersection set generating unit 20 specifically includes:
工作区域分解模块21,用于将所述工作区域分解为至少两段弧线,获取每段弧线的圆心、半径及圆心角范围,并生成与每段弧线对应的圆的方程。The working area decomposition module 21 is configured to decompose the working area into at least two arcs, obtain a circle center, a radius and a central angle range of each arc, and generate an equation of a circle corresponding to each arc.
交点计算模块22,用于根据预先输入的起点的坐标及移动方向生成一条射线,计算所述射线与每个圆的交点。The intersection calculation module 22 is configured to generate a ray according to the coordinates and the moving direction of the starting point input in advance, and calculate an intersection of the ray and each circle.
其中,所述交点计算模块22在计算所述射线与每个圆的交点的时候,可直接将所述射线与每个圆进行联立计算得到,也可基于射线与圆相交测试的优化算法计算所述射线与每个圆的交点,本发明不做具体限定。Wherein, the intersection calculation module 22 can directly calculate the intersection of the ray and each circle, and directly calculate the ray and each circle, or calculate the algorithm based on the intersection of the ray and the circle intersection test. The intersection of the ray and each circle is not specifically limited in the present invention.
判断模块23,用于计算所述交点在所述交点所在的圆上的弧度角,并在所述弧度角位于 所述圆心角范围内时,确定所述交点位于所述弧线上,将所述交点存入预设的集合,生成交点集合。a judging module 23, configured to calculate a radian angle of the intersection point on a circle where the intersection point is located, and is located at the radian angle When the central angle is within the range, it is determined that the intersection is located on the arc, and the intersection is stored in a preset set to generate a set of intersections.
综上所述,本发明实施例提供的机械臂的运动轨迹规划装置100,由所述工作区域生成单元10生成所述机械臂的工作区域,再由交点集合生成单元20计算由预先输入的起点的坐标及移动方向生成的射线与工作区域的边界的交点,并由所述终点标记单元30获取与起点具有最小距离的交点的坐标,获得与所述起点及移动方向相应的终点,最后由运动轨迹规划单元40根据所述起点以及所述终点的坐标进行运动轨迹的规划。本发明基于几何的方法来确定机械臂工作区域的边界因此机器人在运动前就可以提前知道终点的位置,方便机器人进行运动轨迹的规划。In summary, the motion trajectory planning apparatus 100 of the robot arm according to the embodiment of the present invention generates the working area of the robot arm by the working area generating unit 10, and then calculates the starting point input by the intersection point generating unit 20. The coordinates and the intersection of the ray generated by the moving direction and the boundary of the working area, and the coordinates of the intersection having the smallest distance from the starting point are acquired by the end marking unit 30, the end point corresponding to the starting point and the moving direction is obtained, and finally the motion The trajectory planning unit 40 performs planning of the motion trajectory according to the starting point and the coordinates of the ending point. The invention is based on a geometric method to determine the boundary of the working area of the robot arm, so that the robot can know the position of the end point in advance before the movement, so that the robot can plan the motion trajectory.
以上所揭露的仅为本发明一种较佳实施例而已,当然不能以此来限定本发明之权利范围,本领域普通技术人员可以理解实现上述实施例的全部或部分流程,并依本发明权利要求所作的等同变化,仍属于发明所涵盖的范围。The above disclosure is only a preferred embodiment of the present invention, and of course, the scope of the present invention is not limited thereto, and those skilled in the art can understand all or part of the process of implementing the above embodiments, and according to the present invention. The equivalent changes required are still within the scope of the invention.
本领域普通技术人员可以理解实现上述实施例方法中的全部或部分流程,是可以通过计算机程序来指令相关的硬件来完成,所述的程序可存储于一计算机可读取存储介质中,该程序在执行时,可包括如上述各方法的实施例的流程。其中,所述的存储介质可为磁碟、光盘、只读存储记忆体(Read-Only Memory,ROM)或随机存储记忆体(Random Access Memory,RAM)等。 One of ordinary skill in the art can understand that all or part of the process of implementing the foregoing embodiments can be completed by a computer program to instruct related hardware, and the program can be stored in a computer readable storage medium. When executed, the flow of an embodiment of the methods as described above may be included. The storage medium may be a magnetic disk, an optical disk, a read-only memory (ROM), or a random access memory (RAM).

Claims (10)

  1. 一种机械臂的轨迹规划方法,其特征在于,包括如下步骤:A method for trajectory planning of a robot arm, comprising the steps of:
    基于待工作的机械臂的关节参数,生成所述机械臂的工作区域;Generating a working area of the robot arm based on joint parameters of the robot arm to be operated;
    根据预先输入的起点的坐标及移动方向生成一条射线,并计算所述射线与所述工作区域的边界的交点,生成交点集合;Generating a ray according to a coordinate and a moving direction of the starting point input in advance, and calculating an intersection of the ray and a boundary of the working area to generate a set of intersection points;
    计算所述交点集合内的每个交点与所述起点的距离,获取与最小距离对应的交点的坐标,并将所述交点标记为终点;Calculating a distance between each intersection point in the intersection set and the starting point, acquiring coordinates of an intersection point corresponding to the minimum distance, and marking the intersection point as an end point;
    基于所述起点的坐标以及所述终点的坐标,对所述机械臂的运动轨迹进行规划,以控制所述机械臂根据规划的运动轨迹进行运动。A motion trajectory of the robot arm is planned based on coordinates of the starting point and coordinates of the end point to control movement of the robot arm according to a planned motion trajectory.
  2. 根据权利要求1所述的机械臂的轨迹规划方法,其特征在于,所述机械臂为SCARA型机械臂。The trajectory planning method for a robot arm according to claim 1, wherein the mechanical arm is a SCARA type mechanical arm.
  3. 根据权利要求1所述的机械臂的轨迹规划方法,其特征在于,A trajectory planning method for a robot arm according to claim 1, wherein
    所述关节参数包括关节类型、关节之间的臂长及关节的活动范围;The joint parameters include joint type, arm length between joints, and range of motion of the joint;
    则所述基于待工作的机械臂的关节参数,生成所述机械臂的工作区域,具体包括:The working area of the mechanical arm is generated based on the joint parameters of the mechanical arm to be operated, and specifically includes:
    根据机械臂的关节类型及关节之间的相对位置关系,基于DH坐标系建立生成每个关节的坐标系;According to the joint type of the robot arm and the relative positional relationship between the joints, a coordinate system for generating each joint is established based on the DH coordinate system;
    根据每个关节的坐标系、每个关节的活动范围及关节之间的臂长,生成所述机械臂的工作区域。The working area of the robot arm is generated according to the coordinate system of each joint, the range of motion of each joint, and the arm length between the joints.
  4. 根据权利要求1所述的机械臂的轨迹规划方法,其特征在于,所述根据预先输入的起点的坐标及移动方向生成一条射线,并计算所述射线与所述述工作区域的边界的交点,生成交点集合,具体为:The trajectory planning method for a robot arm according to claim 1, wherein the ray is generated according to a coordinate and a moving direction of a start point input in advance, and an intersection of the ray and a boundary of the working area is calculated. Generate a set of intersection points, specifically:
    将所述工作区域分解为至少两段弧线,获取每段弧线的圆心、半径及圆心角范围,并生成与每段弧线对应的圆的方程;Decomposing the working area into at least two arcs, obtaining a circle center, a radius, and a central angle range of each arc, and generating an equation of a circle corresponding to each arc;
    根据预先输入的起点的坐标及移动方向生成一条射线,计算所述射线与每个圆的交点;Generating a ray according to the coordinates and the moving direction of the starting point input in advance, and calculating the intersection of the ray and each circle;
    计算所述交点在所述交点所在的圆上的弧度角,并在所述弧度角位于所述圆心角范围内时,将所述交点存入预设的交点集合,生成交点集合。 Calculating an arc angle of the intersection point on a circle where the intersection point is located, and when the arc angle angle is within the circle center angle range, storing the intersection point into a preset intersection point set to generate a intersection point set.
  5. 根据权利要求4所述的机械臂的轨迹规划方法,其特征在于,所述根据预先输入的起点的坐标及移动方向生成一条射线,计算所述射线与每个圆的交点具体为:The trajectory planning method for a robot arm according to claim 4, wherein the ray is generated according to the coordinates and the moving direction of the starting point input in advance, and the intersection of the ray and each circle is calculated as follows:
    根据预先输入的起点的坐标及移动方向生成一条射线,将所述射线方程与每个圆的方程进行联立,基于参数方程法计算所述射线与每个圆的交点。A ray is generated according to the coordinates and the moving direction of the starting point input in advance, and the ray equation is associated with the equation of each circle, and the intersection of the ray and each circle is calculated based on the parametric equation method.
  6. 根据权利要求4所述的机械臂的轨迹规划方法,其特征在于,所述根据预先输入的起点的坐标及移动方向生成一条射线,计算所述射线与每个圆的交点具体为:The trajectory planning method of the robot arm according to claim 4, wherein the generating a ray according to the coordinates and the moving direction of the starting point input in advance, and calculating the intersection of the ray and each circle is specifically:
    根据预先输入的起点的坐标及移动方向生成一条射线,基于射线与圆相交测试的优化算法计算所述射线与每个圆的交点。A ray is generated according to the coordinates and the moving direction of the starting point input in advance, and the intersection of the ray and each circle is calculated based on an optimization algorithm of the ray and circle intersection test.
  7. 一种机械臂的轨迹规划装置,其特征在于,包括:A trajectory planning device for a mechanical arm, comprising:
    工作区域生成单元,用于基于待工作的机械臂的关节参数,生成所述机械臂的工作区域;a work area generating unit, configured to generate a working area of the mechanical arm based on a joint parameter of the mechanical arm to be operated;
    交点集合生成单元,用于根据预先输入的起点的坐标及移动方向生成一条射线,并计算所述射线与所述工作区域的边界的交点,生成交点集合;An intersection point generating unit configured to generate a ray according to a coordinate and a moving direction of the starting point input in advance, and calculate an intersection of the ray and a boundary of the working area to generate a set of intersection points;
    终点标记单元,用于计算所述交点集合内的每个交点与所述起点的距离,获取与最小距离对应的交点的坐标,并将所述交点标记为终点;An end point marking unit, configured to calculate a distance between each intersection point in the intersection point set and the starting point, acquire coordinates of an intersection point corresponding to the minimum distance, and mark the intersection point as an end point;
    运动轨迹规划单元,用于基于所述起点的坐标以及所述终点的坐标,对所述机械臂的运动轨迹进行规划,以控制所述机械臂根据规划的运动轨迹进行运动。a motion trajectory planning unit is configured to plan a motion trajectory of the robot arm based on coordinates of the starting point and coordinates of the end point to control movement of the robot arm according to a planned motion trajectory.
  8. 根据权利要求7所述的机械臂的轨迹规划装置,其特征在于,所述机械臂为SCARA型机械臂。The trajectory planning device for a robot arm according to claim 7, wherein the robot arm is a SCARA type robot arm.
  9. 根据权利要求7所述的机械臂的轨迹规划装置,其特征在于,A trajectory planning device for a robot arm according to claim 7, wherein
    所述关节参数包括关节类型、关节之间的臂长及关节的活动范围;The joint parameters include joint type, arm length between joints, and range of motion of the joint;
    所述工作区域生成单元具体包括:The working area generating unit specifically includes:
    坐标系生成模块,用于根据机械臂的关节类型及关节之间的相对位置关系,基于DH坐标系建立生成每个关节的坐标系;a coordinate system generating module, configured to generate a coordinate system for generating each joint based on a joint type of the robot arm and a relative positional relationship between the joints;
    工作区域生成模块,用于根据每个关节的坐标系、每个关节的活动范围及关节之间的臂长,生成所述机械臂的工作区域。A work area generating module is configured to generate a working area of the robot arm according to a coordinate system of each joint, an active range of each joint, and an arm length between the joints.
  10. 根据权利要求7所述的机械臂的轨迹规划装置,其特征在于,所述交点集合生成单元具体包括: The trajectory planning device of the robot arm according to claim 7, wherein the intersection set generating unit specifically comprises:
    工作区域分解模块,用于将所述工作区域分解为至少两段弧线,获取每段弧线的圆心、半径及圆心角范围,并生成与每段弧线对应的圆的方程;a working area decomposition module, configured to decompose the working area into at least two arcs, obtain a circle center, a radius and a central angle range of each arc, and generate an equation of a circle corresponding to each arc;
    交点计算模块,用于根据预先输入的起点的坐标及移动方向生成一条射线,计算所述射线与每个圆的交点;An intersection calculation module, configured to generate a ray according to a coordinate and a moving direction of the starting point input in advance, and calculate an intersection of the ray and each circle;
    判断模块,用于计算所述交点在所述交点所在的圆上的弧度角,并在所述弧度角位于所述圆心角范围内时,确定所述交点位于所述弧线上,将所述交点存入预设的集合,生成交点集合。 a judging module, configured to calculate an arc angle of the intersection point on a circle where the intersection point is located, and when the arc angle angle is within the circle center angle range, determine that the intersection point is located on the arc line, The intersection points are stored in a preset set to generate a set of intersection points.
PCT/CN2016/113194 2016-06-20 2016-12-29 Trajectory planning method and device for mechanical arm WO2017219640A1 (en)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
CN201610452034.3A CN106041941B (en) 2016-06-20 2016-06-20 The method for planning track and device of a kind of mechanical arm
CN201610452034.3 2016-06-20

Publications (1)

Publication Number Publication Date
WO2017219640A1 true WO2017219640A1 (en) 2017-12-28

Family

ID=57168726

Family Applications (1)

Application Number Title Priority Date Filing Date
PCT/CN2016/113194 WO2017219640A1 (en) 2016-06-20 2016-12-29 Trajectory planning method and device for mechanical arm

Country Status (2)

Country Link
CN (1) CN106041941B (en)
WO (1) WO2017219640A1 (en)

Cited By (10)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110456729A (en) * 2018-05-07 2019-11-15 苏州睿牛机器人技术有限公司 A kind of Trajectory Tracking Control method and Trajectory Tracking System
CN111400891A (en) * 2020-03-11 2020-07-10 中煤航测遥感集团有限公司 Method, device and equipment for acquiring deviation degree of pipeline inspection point and storage medium
CN113182701A (en) * 2021-03-29 2021-07-30 大族激光科技产业集团股份有限公司 Laser processing method, apparatus, device and storage medium
CN113399200A (en) * 2020-03-17 2021-09-17 深圳市腾盛精密装备股份有限公司 Dispensing method and five-axis linkage dispensing machine
CN114687538A (en) * 2020-12-29 2022-07-01 广东博智林机器人有限公司 Working method, device, equipment and medium of floor paint coating equipment
CN114700960A (en) * 2022-03-02 2022-07-05 西北工业大学 Remote control behavior contour planning method based on order optimization
WO2023070919A1 (en) * 2021-10-25 2023-05-04 无锡闻泰信息技术有限公司 Product movement track calculation method and apparatus, device, and storage medium
CN116160141A (en) * 2023-03-24 2023-05-26 中国科学院西安光学精密机械研究所 Part laser processing interference checking method and part laser processing method
CN116252288A (en) * 2023-03-09 2023-06-13 南京智欧智能技术研究院有限公司 Multi-degree-of-freedom plane line control robot and line control method
CN117454060A (en) * 2023-12-22 2024-01-26 季华实验室 Linear motion device position measuring method and device, electronic equipment and storage medium

Families Citing this family (11)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106041941B (en) * 2016-06-20 2018-04-06 广州视源电子科技股份有限公司 The method for planning track and device of a kind of mechanical arm
CN106346478A (en) * 2016-11-09 2017-01-25 广州视源电子科技股份有限公司 Control method and device for mechanical arm
CN106985140B (en) * 2017-04-19 2019-05-07 广州视源电子科技股份有限公司 Robot point-to-point motion control method and system
CN107457780B (en) * 2017-06-13 2020-03-17 广州视源电子科技股份有限公司 Method and device for controlling mechanical arm movement, storage medium and terminal equipment
CN108081270B (en) * 2017-12-15 2020-05-19 中国兵器装备集团自动化研究所 Dangerous goods processing system and control method
CN109129470B (en) * 2018-08-02 2021-07-09 深圳市智能机器人研究院 Planning method and system for linear path of robot
CN109571478B (en) * 2018-12-17 2021-07-27 浙江大学昆山创新中心 Tracking control method for tail end of serially-connected multi-degree-of-freedom mechanical arm
CN109285173A (en) * 2018-12-24 2019-01-29 常州节卡智能装备有限公司 A kind of safety protecting method, device and computer equipment
CN111037551B (en) * 2019-12-05 2022-10-11 上海新时达机器人有限公司 Method and device for acquiring robot test space and robot system
CN112998863B (en) * 2021-03-12 2022-05-06 杭州柳叶刀机器人有限公司 Robot safety boundary interaction device, electronic apparatus, and storage medium
CN115153855B (en) * 2022-07-29 2023-05-05 中欧智薇(上海)机器人有限公司 Positioning and aligning method and device for micro mechanical arm and electronic equipment

Citations (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101898358A (en) * 2009-05-29 2010-12-01 库卡机器人有限公司 Be used to control the method and the device of manipulator
CN104457566A (en) * 2014-11-10 2015-03-25 西北工业大学 Spatial positioning method not needing teaching robot system
US20150134111A1 (en) * 2013-11-12 2015-05-14 Canon Kabushiki Kaisha Control method for robot apparatus and robot apparatus
CN104684695A (en) * 2012-08-02 2015-06-03 库卡罗伯特有限公司 Method and programming means for modification of a robot path
EP2898996A1 (en) * 2014-01-23 2015-07-29 Plum Sp. z o.o. Method of controlling a robotic system and a robotic system controller for implementing this method
CN105291115A (en) * 2014-07-24 2016-02-03 库卡罗伯特有限公司 Method and means for designing and/or operating a robot
CN105922265A (en) * 2016-06-20 2016-09-07 广州视源电子科技股份有限公司 Motion trail planning method and device for mechanical arm and robot
CN106041941A (en) * 2016-06-20 2016-10-26 广州视源电子科技股份有限公司 Track planning method and device for mechanical arm

Family Cites Families (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US4864205A (en) * 1987-10-09 1989-09-05 Hewlett-Packard Company Method for coordinated control of motion devices
JP3339840B2 (en) * 1999-09-28 2002-10-28 タツモ株式会社 Horizontal articulated industrial robot and control method thereof
WO2004095520A2 (en) * 2003-04-22 2004-11-04 Berkeley Process Control, Inc. System of path planning for robotic manipulators based on maximum acceleration and finite jerk constraints
US7146242B2 (en) * 2003-09-30 2006-12-05 Rockwell Automation Technologies, Inc. Method and system for generating multi-dimensional motion profiles
JP4736607B2 (en) * 2005-08-05 2011-07-27 株式会社デンソーウェーブ Robot controller
JP5621796B2 (en) * 2012-01-31 2014-11-12 株式会社安川電機 Transport system
JP6137155B2 (en) * 2014-12-09 2017-05-31 トヨタ自動車株式会社 Interference avoidance method, control device, and program
CN105415375B (en) * 2016-01-02 2017-04-05 宁波市智能制造产业研究院 A kind of robot Off-line Programming System

Patent Citations (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101898358A (en) * 2009-05-29 2010-12-01 库卡机器人有限公司 Be used to control the method and the device of manipulator
CN104684695A (en) * 2012-08-02 2015-06-03 库卡罗伯特有限公司 Method and programming means for modification of a robot path
US20150134111A1 (en) * 2013-11-12 2015-05-14 Canon Kabushiki Kaisha Control method for robot apparatus and robot apparatus
EP2898996A1 (en) * 2014-01-23 2015-07-29 Plum Sp. z o.o. Method of controlling a robotic system and a robotic system controller for implementing this method
CN105291115A (en) * 2014-07-24 2016-02-03 库卡罗伯特有限公司 Method and means for designing and/or operating a robot
CN104457566A (en) * 2014-11-10 2015-03-25 西北工业大学 Spatial positioning method not needing teaching robot system
CN105922265A (en) * 2016-06-20 2016-09-07 广州视源电子科技股份有限公司 Motion trail planning method and device for mechanical arm and robot
CN106041941A (en) * 2016-06-20 2016-10-26 广州视源电子科技股份有限公司 Track planning method and device for mechanical arm

Cited By (16)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110456729B (en) * 2018-05-07 2021-09-28 苏州睿牛机器人技术有限公司 Trajectory tracking control method and trajectory tracking system
CN110456729A (en) * 2018-05-07 2019-11-15 苏州睿牛机器人技术有限公司 A kind of Trajectory Tracking Control method and Trajectory Tracking System
CN111400891B (en) * 2020-03-11 2023-08-11 中煤航测遥感集团有限公司 Method, device, equipment and storage medium for obtaining deviation degree of pipeline inspection point
CN111400891A (en) * 2020-03-11 2020-07-10 中煤航测遥感集团有限公司 Method, device and equipment for acquiring deviation degree of pipeline inspection point and storage medium
CN113399200A (en) * 2020-03-17 2021-09-17 深圳市腾盛精密装备股份有限公司 Dispensing method and five-axis linkage dispensing machine
CN114687538A (en) * 2020-12-29 2022-07-01 广东博智林机器人有限公司 Working method, device, equipment and medium of floor paint coating equipment
CN114687538B (en) * 2020-12-29 2023-08-15 广东博智林机器人有限公司 Working method, device, equipment and medium of floor paint coating equipment
CN113182701A (en) * 2021-03-29 2021-07-30 大族激光科技产业集团股份有限公司 Laser processing method, apparatus, device and storage medium
WO2023070919A1 (en) * 2021-10-25 2023-05-04 无锡闻泰信息技术有限公司 Product movement track calculation method and apparatus, device, and storage medium
CN114700960B (en) * 2022-03-02 2023-09-08 西北工业大学 Order-optimized remote control behavior contour planning method
CN114700960A (en) * 2022-03-02 2022-07-05 西北工业大学 Remote control behavior contour planning method based on order optimization
CN116252288A (en) * 2023-03-09 2023-06-13 南京智欧智能技术研究院有限公司 Multi-degree-of-freedom plane line control robot and line control method
CN116160141A (en) * 2023-03-24 2023-05-26 中国科学院西安光学精密机械研究所 Part laser processing interference checking method and part laser processing method
CN116160141B (en) * 2023-03-24 2024-01-30 中国科学院西安光学精密机械研究所 Part laser processing interference checking method and part laser processing method
CN117454060A (en) * 2023-12-22 2024-01-26 季华实验室 Linear motion device position measuring method and device, electronic equipment and storage medium
CN117454060B (en) * 2023-12-22 2024-03-19 季华实验室 Linear motion device position measuring method and device, electronic equipment and storage medium

Also Published As

Publication number Publication date
CN106041941A (en) 2016-10-26
CN106041941B (en) 2018-04-06

Similar Documents

Publication Publication Date Title
WO2017219640A1 (en) Trajectory planning method and device for mechanical arm
WO2017219639A1 (en) Motion trail planning method and device for robotic arm, and robot
US11358282B2 (en) System and method for constraint management of one or more robots
WO2023082990A1 (en) Method and apparatus for determining working pose of robotic arm
WO2018090323A1 (en) Method, system, and device for calibrating coordinate system
Cruciani et al. Dexterous manipulation graphs
WO2020190166A1 (en) Method and system for grasping an object by means of a robotic device
JP2015085475A (en) Information processing unit, and information processing method
Snape et al. Smooth coordination and navigation for multiple differential-drive robots
TWI649171B (en) Apparatus and method for generating robot program
Duindam et al. 3D motion planning algorithms for steerable needles using inverse kinematics
Ostanin et al. Programming by Demonstration Using Two-Step Optimization for Industrial Robot.
Li et al. Inverse kinematics study for intelligent agriculture robot development via differential evolution algorithm
Zhang et al. Kuka youBot arm shortest path planning based on geodesics
Chen et al. A general analytical algorithm for collaborative robot (cobot) with 6 degree of freedom (DOF)
CN108858162B (en) Position determination method and device for four-axis mechanical arm
Bhattacharjee et al. A study of neural network based inverse kinematics solution for a planar three joint robot with obstacle avoidance
Chiddarwar et al. Offline decoupled path planning approach for effective coordination of multiple robots
Manjunath et al. Design & simulation of the workspace for a stationary robot system
Wang et al. Kinematics and workspace analysis of a robotic arm for medical delivery robots
Chen et al. Kinematics analysis and application of 5-DOF manipulator with special joint
WO2020010628A1 (en) Positioner axis coordinate system calibration method, robot system, and storage device
JP2008055518A (en) Control method of welding robot
Gueta et al. Multiple-goal task realization utilizing redundant degrees of freedom of task and tool attachment optimization
RU2756437C1 (en) Method and system for planning the movement of a manipulator robot by correcting the reference trajectories

Legal Events

Date Code Title Description
121 Ep: the epo has been informed by wipo that ep was designated in this application

Ref document number: 16906177

Country of ref document: EP

Kind code of ref document: A1

NENP Non-entry into the national phase

Ref country code: DE

122 Ep: pct application non-entry in european phase

Ref document number: 16906177

Country of ref document: EP

Kind code of ref document: A1