WO2021036847A1 - Method for planning boundary movement in monitoring area of industrial robot - Google Patents

Method for planning boundary movement in monitoring area of industrial robot Download PDF

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WO2021036847A1
WO2021036847A1 PCT/CN2020/109600 CN2020109600W WO2021036847A1 WO 2021036847 A1 WO2021036847 A1 WO 2021036847A1 CN 2020109600 W CN2020109600 W CN 2020109600W WO 2021036847 A1 WO2021036847 A1 WO 2021036847A1
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robot
monitoring area
speed
area
virtual
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PCT/CN2020/109600
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French (fr)
Chinese (zh)
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夏正仙
洪晴
王杰高
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南京埃斯顿机器人工程有限公司
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B25HAND TOOLS; PORTABLE POWER-DRIVEN TOOLS; MANIPULATORS
    • B25JMANIPULATORS; CHAMBERS PROVIDED WITH MANIPULATION DEVICES
    • B25J9/00Programme-controlled manipulators
    • B25J9/16Programme controls
    • 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
    • B25J9/1656Programme controls characterised by programming, planning systems for manipulators
    • B25J9/1664Programme controls characterised by programming, planning systems for manipulators characterised by motion, path, trajectory planning
    • B25J9/1666Avoiding collision or forbidden zones

Definitions

  • the invention relates to a method for motion planning of an industrial robot monitoring area boundary.
  • Industrial robots are being used more and more widely in the industrial field with their large range of motion, flexible and fast motion capabilities.
  • a relatively safe operating area is required. Therefore, robot avoiding obstacles and ensuring the safety of other equipment and personnel working in coordination has become an important issue that needs to be solved.
  • the Chinese invention patent case CN105555490A proposes that in the robot working area, according to the degree of danger of the operator and the robot, the working area of different dangerous procedures is divided by different colors, and then the work is based on the different degree of danger. Area, which limits the different moving speeds of the robot.
  • the Chinese invention patent case CN108656103A builds multiple separation interfaces with three non-collinear points in the work area to form a full separation surface, thereby dividing the work area into a safe area and a prohibited area. In the divided safety zone, the robot can run at full speed and brakes when entering the prohibited zone.
  • the purpose of the present invention is to overcome the shortcomings of the prior art and propose a method of motion planning for the boundary of the monitoring area of an industrial robot.
  • the virtual monitoring area is calculated.
  • the robot runs into the virtual
  • perform deceleration control so that when the robot moves to the boundary of the monitoring area, the speed is in a relatively low range to avoid the hazard of excessive torque caused by emergency braking at high speed; the deceleration control of the robot is through planning control
  • the speed multiplier of the robot adjusts the forward-planned trajectory speed, and the robot motion trajectory is not affected; at the same time, taking into account the robot’s motion trend, the virtual monitoring area is dynamically refreshed.
  • the real-time position of the robot When the real-time position of the robot is not in the refreshed virtual monitoring area, it indicates that the robot The motion trajectory may change away from the boundary of the monitoring area. At this time, the speed before the deceleration is gradually restored according to a certain rule to avoid excessive reduction of the robot's operating efficiency while ensuring safe braking.
  • the purpose of the present invention is to solve the problem of damage to the robot body caused by emergency braking when the robot runs to the boundary of the monitoring area at a high speed and enters the forbidden area.
  • the basic idea is as follows:
  • the robot monitoring area can be any shape in the three-dimensional space.
  • the robot can work in the area or outside the area, and the user can set it according to the work space.
  • area O is the set monitoring area
  • P is the current position of the robot TCP
  • V is the current speed of the robot TCP.
  • the boundary of the monitoring area O will be shifted inward by ⁇ L, if the robot is operating outside the area, the boundary of the monitoring area O will be shifted outward by ⁇ L to obtain the virtual monitoring area O' ,
  • the shaded area between O'and O is the pre-deceleration zone.
  • the speed V is calculated from the speed V plan of the robot trajectory plan and the speed multiplier K of the current cycle, as follows:
  • the speed magnification K before deceleration is equal to the speed magnification K s set by the original user.
  • the speed override adjustment function K sub (t) is a polynomial of time, and the boundary conditions are as follows:
  • K cur is the initial value of K sub (t), that is, the speed multiplier of the current cycle.
  • K cur adjusted for the first time is equal to the original multiplier K s .
  • the speed V changes after deceleration, and the changed ⁇ L is calculated according to formula (1).
  • the monitoring area O needs to be shifted correspondingly, and the virtual monitoring area O'is refreshed in real time.
  • the relative position change between the current TCP point P and the virtual monitoring area O' determine the movement trend of the robot. If the current point P is out of the virtual monitoring area, readjust the speed override adjustment function, and gradually restore to the original speed override K s , adjust The subsequent speed override adjustment function is K'sub (t).
  • the whole process implements dynamic acceleration and deceleration to avoid excessively reducing the speed of the robot and improve the working efficiency of the robot as much as possible.
  • the boundary conditions of the adjusted polynomial K'sub (t) are as follows:
  • T sub , K cur , and K s have the same meanings as above.
  • the present invention is a technical solution for realizing the purpose of the invention, an industrial robot monitoring area boundary motion planning method, and the steps are as follows:
  • Step 1 Input the current TCP speed V and the maximum safe acceleration a max to calculate the advance deceleration distance ⁇ L:
  • the set monitoring area O will be offset inward by the offset distance ⁇ L to obtain the virtual monitoring area O'; if the user sets the robot to work outside the area, the set offset will be set to the outside
  • the monitoring area O is offset by a distance of ⁇ L to obtain a virtual safety area O'.
  • Step 2 Determine the current TCP position P of the robot:
  • the TCP motion speed is reduced according to the designed speed override adjustment function K sub (t), and the speed is decelerated in advance.
  • the robot was in the virtual monitoring area in the last cycle, that is, the current robot motion trend is far away from the boundary of the monitoring area, or its trajectory is only close to the monitoring area but will not cross the boundary.
  • the redesigned magnification adjustment function K'sub (t) gradually returns to the original planned speed magnification, so as to avoid excessive reduction of the robot's operating efficiency.
  • Step 3 The current TCP position P of the robot has reached the boundary of the monitoring area O. At this time, the robot's motion speed V has been decelerated in advance and is already in a relatively low range. Therefore, emergency braking can be implemented and the robot immediately stops moving.
  • Step 4 Recalculate the parameter ⁇ L every cycle and refresh the virtual monitoring area O'. Repeat steps 1-3 to realize the dynamic acceleration and deceleration adjustment of the TCP speed until the movement reaches the planned position or reaches the boundary of the monitoring area.
  • the method for planning the boundary motion of the industrial robot monitoring area of the present invention calculates the virtual monitoring area according to the motion speed, and decelerates in advance when crossing the virtual monitoring area, and prevents the large torque damage caused by emergency braking while ensuring the safety of the machine and personnel.
  • the industrial robot monitoring area boundary motion planning method of the present invention performs deceleration control on the robot by adjusting the forward-planned trajectory speed by planning the speed multiplier of the controller. There is no need to re-plan the robot's trajectory and speed, and the speed multiplier algorithm is planned It is simpler, and the trajectory of the robot is not affected, and it does not bring about the problem of uncontrollable trajectory.
  • the method for planning the boundary motion of the industrial robot monitoring area of the present invention dynamically refreshes the virtual monitoring area in real time, and combines the robot motion trend. If the trend is far away from the boundary of the monitoring area, it gradually restores to the original speed multiplier according to a certain rule, otherwise it continues to decelerate. Through dynamic acceleration and deceleration adjustment, the robot operation efficiency is maximized.
  • the method for the motion planning of the industrial robot monitoring area boundary of the present invention does not require any additional external devices, is all realized by software, has no hardware cost, and is easy for users to operate.
  • Figure 1 is a schematic diagram of the internal virtual monitoring area.
  • Figure 2 is a schematic diagram of the external virtual monitoring area.
  • Figure 3 is a schematic diagram of the dynamic adjustment of the robot speed V; among them: Figure 3 (a) is the case without any speed adjustment, Figure 3 (b) is the case of the motion planning near the monitoring area, and Figure 3 (c) is the speed reduction Then it is far away from the motion planning situation in the monitoring area.
  • Figure 4 is a flow chart of motion planning for monitoring the boundary of the area.
  • the method of motion planning for the boundary of the monitoring area of an industrial robot aims to solve the problem of damage to the robot body caused by emergency braking when the robot runs to the boundary of the monitoring area at a high speed and enters the forbidden area.
  • the description is as follows:
  • the robot monitoring area can be any shape in the three-dimensional space.
  • the robot can work in the area or outside the area, and the user can set it according to the work space.
  • area O is the set monitoring area
  • P is the current position of the robot TCP
  • V is the current speed of the robot TCP.
  • formula (1) is used to calculate the advance deceleration distance ⁇ L.
  • the boundary of the monitoring area O will be shifted inward by ⁇ L, if the robot is operating outside the area, the boundary of the monitoring area O will be shifted outward by ⁇ L to obtain the virtual monitoring area O' ,
  • the shaded area between O'and O is the pre-deceleration zone.
  • the speed V is calculated from the speed V plan of the robot trajectory plan and the speed multiplier K of the current cycle, as follows:
  • the speed magnification K before deceleration is equal to the speed magnification K s set by the original user.
  • the speed override adjustment function K sub (t) is a polynomial of time, and the boundary conditions are as follows:
  • K cur is the initial value of K sub (t), that is, the speed multiplier of the current cycle.
  • K cur adjusted for the first time is equal to the original multiplier K s .
  • the speed V changes after deceleration, and the changed ⁇ L is calculated according to formula (1).
  • the monitoring area O needs to be shifted correspondingly, and the virtual monitoring area O'is refreshed in real time.
  • the relative position change between the current TCP point P and the virtual monitoring area O' determine the movement trend of the robot. If the current point P is out of the virtual monitoring area, then readjust the speed override adjustment function to gradually restore the original speed override K s , and adjust The subsequent speed override adjustment function is K'sub (t).
  • the whole process implements dynamic acceleration and deceleration to avoid excessively reducing the speed of the robot and improve the working efficiency of the robot as much as possible.
  • the boundary conditions of the adjusted polynomial K'sub (t) are as follows:
  • Figure 3 is a schematic diagram of the dynamic adjustment of the robot speed V, where Figure (a) shows that without any speed adjustment, when the robot runs to the boundary of the monitoring area O, it will brake urgently, the output speed will immediately become 0, and the body will bear a huge impact; Figure (b) shows the motion planning situation of the adjacent monitoring area, that is, when the robot enters the virtual monitoring area O', as shown in the paragraphs b'to b", the speed will be reduced according to the rate override adjustment function K sub (t). When the monitoring area boundary O, the speed is already in a relatively low range, and it stops immediately; Figure (c) shows that the virtual monitoring area O′ is refreshed in real time after the speed is reduced, and the refreshed virtual monitoring area is O”. The robot has moved away from the virtual monitoring area O", as shown in the section from c'to c", and will accelerate according to the adjusted speed multiplier function K'sub (t) until it returns to the speed before deceleration.
  • the current TCP position P of the robot is outside the virtual monitoring area O', and it is judged whether the last motion cycle has been decelerated in advance. If the robot has not decelerated in advance, it means that the robot did not enter the virtual monitoring area in the last cycle, and the motion planning is not interfered. The current speed override.
  • the robot's current TCP position P is outside the virtual monitoring area O', and it is judged that the last motion cycle has been decelerated in advance, indicating that the robot was in the virtual monitoring area in the last cycle, that is, the current robot motion trend is far away from the boundary of the monitoring area. Or its trajectory is only close to the monitoring area but will not cross the boundary.
  • the section c′ to c” should be gradually restored to the original according to the redesigned magnification adjustment function K'sub (t) Plan the speed multiplier to avoid excessively reducing the robot's operating efficiency.
  • the parameter ⁇ L is recalculated every cycle, and the virtual monitoring area O'is refreshed. Repeat the above steps to realize the dynamic acceleration and deceleration adjustment of the TCP speed until the movement reaches the planned position or reaches the boundary of the monitoring area.

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  • Engineering & Computer Science (AREA)
  • Robotics (AREA)
  • Mechanical Engineering (AREA)
  • Manipulator (AREA)

Abstract

A method for planning boundary movement in a monitoring area of an industrial robot. The method comprises: calculating a virtual monitoring area according to the monitoring area and a current speed of the robot set by a user; and when the robot moves to enter the virtual monitoring area, carrying out deceleration control, so that the speed of the robot moving to the boundary of the monitoring area is in a relatively low range, thereby preventing damage from excessively high moment caused by emergency braking at a high speed. In deceleration control of the robot, a prospective planned trajectory speed is adjusted by planning the speed ratio of a controller, and the moving trajectory of the robot is not affected. Moreover, by considering the moving trend of the robot, the virtual monitoring area is refreshed dynamically. When the real-time position of the robot is not in the refreshed monitoring area, the moving trajectory of the robot can change in a direction away from the boundary of the monitoring area, and at this moment, the robot gradually restores the speed before deceleration with a certain rule, avoiding the operating efficiency of the robot being reduced excessively while safe braking is guaranteed.

Description

一种工业机器人监控区域边界运动规划的方法A method for motion planning of industrial robot monitoring area boundary 技术领域Technical field
本发明涉及一种工业机器人监控区域边界运动规划的方法。The invention relates to a method for motion planning of an industrial robot monitoring area boundary.
背景技术Background technique
工业机器人以其大运动范围、灵活快速的运动能力,在工业领域得到越来越广泛的应用。通常工业机器人的作业空间是受限的,在其动作范围附近可能存在障碍物;一个机器人工作站也不仅仅是机器人单机工作,存在其他设备如焊机或其他机器人协同作业;用户在操作机器人时也需要相对安全的操作区域。因此机器人自身避障、保障协同工作的其它设备及人员安全,已成为需要解决的重要课题。Industrial robots are being used more and more widely in the industrial field with their large range of motion, flexible and fast motion capabilities. Usually the working space of an industrial robot is limited, and there may be obstacles near its range of motion; a robot workstation is not only a single robot working, there are other equipment such as a welding machine or other robots working together; the user also operates the robot. A relatively safe operating area is required. Therefore, robot avoiding obstacles and ensuring the safety of other equipment and personnel working in coordination has become an important issue that needs to be solved.
为了解决机器人工作区域的安全问题,中国发明专利案CN105555490A提出在机器人工作区域,根据作业人员与机器人接触的危险程度,利用不同颜色标示划分不同的危险程序的工作区域,再根据不同危险程度的作业区域,限制机器人不同的移动速度。另中国发明专利案CN108656103A在工作区域中以不共线的三点建置多个分隔界面,进而形成全分隔面,从而将工作区域划分为安全区域和禁止区域。在划分的安全区域内机器人可全速运行,当进入禁止区域则紧急制动。In order to solve the safety problem of the robot working area, the Chinese invention patent case CN105555490A proposes that in the robot working area, according to the degree of danger of the operator and the robot, the working area of different dangerous procedures is divided by different colors, and then the work is based on the different degree of danger. Area, which limits the different moving speeds of the robot. In addition, the Chinese invention patent case CN108656103A builds multiple separation interfaces with three non-collinear points in the work area to form a full separation surface, thereby dividing the work area into a safe area and a prohibited area. In the divided safety zone, the robot can run at full speed and brakes when entering the prohibited zone.
在机器人高速运动的情况下,当从安全工作的区域进入禁止的区域时,如果直接紧急制动会导致机器人关节承受力矩过大,影响电机性能,甚至损坏机械结构,造成危害。因此,一般机器人在进入禁止区域前需要提前进行减速,以上专利均未提及机器人临近区域边界的运动减速方法。另外,机器人的位置、速度复杂多变,提前减速的判断条件有可能造成误判断,若减速过程不及时修复可能带来机器人不必要的停机。In the case of high-speed robot movement, when entering a prohibited area from a safe working area, direct emergency braking will cause the robot's joints to bear excessive torque, affect the performance of the motor, and even damage the mechanical structure, causing harm. Therefore, the general robot needs to decelerate in advance before entering the forbidden area. None of the above patents mentions the method of decelerating the movement of the robot near the boundary of the area. In addition, the position and speed of the robot are complex and changeable, and the judgment condition of early deceleration may cause misjudgment. If the deceleration process is not repaired in time, it may cause unnecessary shutdown of the robot.
发明内容Summary of the invention
本发明的目的在于,克服现有技术存在的缺陷,提出一种工业机器人监控区域边界运动规划的方法,根据用户设置的监控区域和机器人的当前速度,计算出虚拟监控区域,当机器人运行进入虚拟监控区域时,进行减速控制,使得当机器人运动到监控区域边界时的速度在一个比较低的范围,避免高速下紧急制动带来力矩过大的危害;对机器人进行减速控制,是通过规划控制器的速度倍率来调节已前瞻规划好的轨迹速度,机器人运动轨迹不受影响;同时考虑到机器人的运动趋势,动态刷新虚拟监控区域,当机器人实时位置不在刷新后的虚拟监控区域时,表明机器人运动轨迹可能朝远离监控区域边界的方向变化,此时再以一定的规律逐步恢复降速前的速度,在保证安全制动的同时,避免过度降低机器人的作业效率。The purpose of the present invention is to overcome the shortcomings of the prior art and propose a method of motion planning for the boundary of the monitoring area of an industrial robot. According to the monitoring area set by the user and the current speed of the robot, the virtual monitoring area is calculated. When the robot runs into the virtual When monitoring the area, perform deceleration control, so that when the robot moves to the boundary of the monitoring area, the speed is in a relatively low range to avoid the hazard of excessive torque caused by emergency braking at high speed; the deceleration control of the robot is through planning control The speed multiplier of the robot adjusts the forward-planned trajectory speed, and the robot motion trajectory is not affected; at the same time, taking into account the robot’s motion trend, the virtual monitoring area is dynamically refreshed. When the real-time position of the robot is not in the refreshed virtual monitoring area, it indicates that the robot The motion trajectory may change away from the boundary of the monitoring area. At this time, the speed before the deceleration is gradually restored according to a certain rule to avoid excessive reduction of the robot's operating efficiency while ensuring safe braking.
本发明的目的是解决当机器人高速运行到监控区域边界,进入禁止的区域时,紧急制动造成的机器人本体损伤问题。基本思路如下:The purpose of the present invention is to solve the problem of damage to the robot body caused by emergency braking when the robot runs to the boundary of the monitoring area at a high speed and enters the forbidden area. The basic idea is as follows:
机器人监控区域可为三维空间下的任意形状,机器人可以在区域内作业,也可以在区域外作业,由用户根据作业空间进行设置。如图1(机器人工作在监控区域内)和图2(机器人工作在监控区域外)所示,区域O为设定的监控区域,P为机器人TCP当前位置,V为机器人TCP当前速度。The robot monitoring area can be any shape in the three-dimensional space. The robot can work in the area or outside the area, and the user can set it according to the work space. As shown in Figure 1 (the robot works in the monitoring area) and Figure 2 (the robot works outside the monitoring area), area O is the set monitoring area, P is the current position of the robot TCP, and V is the current speed of the robot TCP.
根据机器人速度V和最大安全加速度a max,由公式(1),计算提前减速距离△L。 According to the robot speed V and the maximum safe acceleration a max , by formula (1), calculate the advance deceleration distance △L.
△L=V 2/2a max      (1) △L=V 2 /2a max (1)
若机器人在区域内作业,则将监控区域O的边界向内偏移△L,若机器人在区域外作业,则将监控区域O的边界向外偏移△L,以此获得虚拟监控区域O',O'与O之间的阴影区域即为提前减速区。If the robot is operating in the area, the boundary of the monitoring area O will be shifted inward by ΔL, if the robot is operating outside the area, the boundary of the monitoring area O will be shifted outward by ΔL to obtain the virtual monitoring area O' , The shaded area between O'and O is the pre-deceleration zone.
速度V由机器人轨迹规划的速度V plan与当前周期的速度倍率K计算得出,如下: The speed V is calculated from the speed V plan of the robot trajectory plan and the speed multiplier K of the current cycle, as follows:
V=K×V plan   (2) V=K×V plan (2)
其中未减速前速度倍率K等于原始用户设置的速度倍率K sThe speed magnification K before deceleration is equal to the speed magnification K s set by the original user.
当机器人TCP位置P还未到达虚拟监控区域O'时,机器人保持原速度倍率K s运动,当机器人TCP位置P进入虚拟监控区域O'时,设计速率倍率调节函数K sub(t)进行提前减速。速度倍率调节函数K sub(t)为时间的多项式,边界条件要求如下: When the robot TCP position P has not reached the virtual monitoring area O', the robot keeps the original speed multiplier K s movement. When the robot TCP position P enters the virtual monitoring area O', the design rate multiplier adjustment function K sub (t) is decelerated in advance . The speed override adjustment function K sub (t) is a polynomial of time, and the boundary conditions are as follows:
Figure PCTCN2020109600-appb-000001
Figure PCTCN2020109600-appb-000001
时间t的范围为0~T sub,T sub为用户设定的调节时间,其值越小,调节过程越短。K cur是K sub(t)的起始值,即当前周期的速度倍率,首次调节的K cur等于原始倍率K sThe range of time t is 0~T sub , and T sub is the adjustment time set by the user. The smaller the value, the shorter the adjustment process. K cur is the initial value of K sub (t), that is, the speed multiplier of the current cycle. The K cur adjusted for the first time is equal to the original multiplier K s .
速度调节期间,令K等于K sub(t),则机器人进行减速。 During speed adjustment, if K is equal to K sub (t), the robot will decelerate.
减速后速度V变化,根据公式(1)计算变化后的△L,监控区域O需进行对应的偏移,实时刷新得到虚拟监控区域O'。按照TCP当前点P与虚拟监控区域O'的相对位置变化,判断机器人的运动趋势,若当前点P已出虚拟监控区域,再重新调整速度倍率调节函数,逐步恢复至原速度倍率K s,调整后的速度倍率调节函数为K' sub(t)。整个过程实行动态加减速,避免过度降低机器人速度,尽可能地提高机器人工作效率。再次调整的多项式K' sub(t)的边界条件要求如下: The speed V changes after deceleration, and the changed △L is calculated according to formula (1). The monitoring area O needs to be shifted correspondingly, and the virtual monitoring area O'is refreshed in real time. According to the relative position change between the current TCP point P and the virtual monitoring area O', determine the movement trend of the robot. If the current point P is out of the virtual monitoring area, readjust the speed override adjustment function, and gradually restore to the original speed override K s , adjust The subsequent speed override adjustment function is K'sub (t). The whole process implements dynamic acceleration and deceleration to avoid excessively reducing the speed of the robot and improve the working efficiency of the robot as much as possible. The boundary conditions of the adjusted polynomial K'sub (t) are as follows:
Figure PCTCN2020109600-appb-000002
Figure PCTCN2020109600-appb-000002
其中T sub,K cur,K s含义同上。 Among them, T sub , K cur , and K s have the same meanings as above.
基于上述技术分析,本发明为实现发明目的的技术方案一种工业机器人监控区域边界运 动规划的方法,其步骤如下:Based on the above-mentioned technical analysis, the present invention is a technical solution for realizing the purpose of the invention, an industrial robot monitoring area boundary motion planning method, and the steps are as follows:
步骤1.输入当前TCP速度V和最大安全加速度a max,计算提前减速距离△L: Step 1. Input the current TCP speed V and the maximum safe acceleration a max to calculate the advance deceleration distance △L:
△L=V 2/2a max △L=V 2 /2a max
若用户设置机器人在区域内作业,则向内偏移设定的监控区域O,偏移距离△L,得到虚拟监控区域O';若用户设置机器人在区域外作业,则向外偏移设定的监控区域O,偏移距离△L,得到虚拟安全区域O'。If the user sets the robot to work in the area, the set monitoring area O will be offset inward by the offset distance △L to obtain the virtual monitoring area O'; if the user sets the robot to work outside the area, the set offset will be set to the outside The monitoring area O is offset by a distance of △L to obtain a virtual safety area O'.
步骤2.判断机器人当前TCP位置点P:Step 2. Determine the current TCP position P of the robot:
若机器人当前TCP位置点P在虚拟监控区域O'与监控区域O之间,则根据设计的速度倍率调节函数K sub(t)降低TCP运动速度,提前减速。 If the current TCP position point P of the robot is between the virtual monitoring area O'and the monitoring area O, the TCP motion speed is reduced according to the designed speed override adjustment function K sub (t), and the speed is decelerated in advance.
若机器人当前TCP位置点P在虚拟监控区域O'之外,判断上次运动周期是否已提前减速:If the current TCP position P of the robot is outside the virtual monitoring area O', judge whether the last motion cycle has been decelerated in advance:
若上次运动周期未提前减速,说明上个周期机器人也未进入虚拟监控区域,则不干涉运动规划,保持当前速度倍率。If the last motion cycle did not decelerate earlier, indicating that the robot did not enter the virtual monitoring area in the last cycle, the motion planning will not be interfered and the current speed override will be maintained.
若上次运动周期已提前减速,说明上个周期机器人是在虚拟监控区域内的,即当前机器人运动趋势是远离监控区域边界,或者其运动轨迹仅是靠近监控区域但不会越过边界,应按照重新设计的倍率调节函数K' sub(t)逐步恢复至原始规划速度倍率,从而避免过度降低机器人的作业效率。 If the last motion cycle has decelerated in advance, it means that the robot was in the virtual monitoring area in the last cycle, that is, the current robot motion trend is far away from the boundary of the monitoring area, or its trajectory is only close to the monitoring area but will not cross the boundary. The redesigned magnification adjustment function K'sub (t) gradually returns to the original planned speed magnification, so as to avoid excessive reduction of the robot's operating efficiency.
步骤3.机器人当前TCP位置点P已到达监控区域O边界,此时机器人运动速度V经过提前减速的过程,已在一个比较低的范围,故可实行紧急制动,机器人立即停止运动。Step 3. The current TCP position P of the robot has reached the boundary of the monitoring area O. At this time, the robot's motion speed V has been decelerated in advance and is already in a relatively low range. Therefore, emergency braking can be implemented and the robot immediately stops moving.
步骤4.每周期重新计算参数△L,刷新虚拟监控区域O'。重复步骤1-3,实现对TCP速度的动态加减速调整,直到运动至规划位置或到达监控区域边界为止。Step 4. Recalculate the parameter △L every cycle and refresh the virtual monitoring area O'. Repeat steps 1-3 to realize the dynamic acceleration and deceleration adjustment of the TCP speed until the movement reaches the planned position or reaches the boundary of the monitoring area.
本发明工业机器人监控区域边界运动规划的方法,根据运动速度计算虚拟监控区域,当越过虚拟监控区域则提前进行减速,在保证机器及人员安全的同时,预防紧急制动带来的大力矩损伤。The method for planning the boundary motion of the industrial robot monitoring area of the present invention calculates the virtual monitoring area according to the motion speed, and decelerates in advance when crossing the virtual monitoring area, and prevents the large torque damage caused by emergency braking while ensuring the safety of the machine and personnel.
本发明工业机器人监控区域边界运动规划方法,对机器人进行减速控制,是通过规划控制器的速度倍率来调节已前瞻规划好的轨迹速度,无需重新对机器人的轨迹和速度进行规划,规划速度倍率算法更简单,同时机器人运动轨迹不受影响,不带来轨迹不可控问题。The industrial robot monitoring area boundary motion planning method of the present invention performs deceleration control on the robot by adjusting the forward-planned trajectory speed by planning the speed multiplier of the controller. There is no need to re-plan the robot's trajectory and speed, and the speed multiplier algorithm is planned It is simpler, and the trajectory of the robot is not affected, and it does not bring about the problem of uncontrollable trajectory.
本发明工业机器人监控区域边界运动规划的方法,实时动态刷新虚拟监控区域,结合机器人运动趋势,若趋势为远离监控区域边界则以一定的规律逐步恢复至原速度倍率,否则继续减速。通过动态加减速调整,最大程度的提高机器人作业效率。The method for planning the boundary motion of the industrial robot monitoring area of the present invention dynamically refreshes the virtual monitoring area in real time, and combines the robot motion trend. If the trend is far away from the boundary of the monitoring area, it gradually restores to the original speed multiplier according to a certain rule, otherwise it continues to decelerate. Through dynamic acceleration and deceleration adjustment, the robot operation efficiency is maximized.
本发明工业机器人监控区域边界运动规划的方法,无需附加任何的外置装置,全部通过软件实现,无硬件成本,用户操作简单。The method for the motion planning of the industrial robot monitoring area boundary of the present invention does not require any additional external devices, is all realized by software, has no hardware cost, and is easy for users to operate.
附图说明Description of the drawings
图1是内虚拟监控区域示意图。Figure 1 is a schematic diagram of the internal virtual monitoring area.
图2是外虚拟监控区域示意图。Figure 2 is a schematic diagram of the external virtual monitoring area.
图3是机器人速度V的动态调整示意图;其中:图3(a)为没有任何速度调整的情况,图3(b)为临近监控区域的运动规划的情况,图3(c)为进行降速后又远离监控区域的运动规划的情况。Figure 3 is a schematic diagram of the dynamic adjustment of the robot speed V; among them: Figure 3 (a) is the case without any speed adjustment, Figure 3 (b) is the case of the motion planning near the monitoring area, and Figure 3 (c) is the speed reduction Then it is far away from the motion planning situation in the monitoring area.
图4是监控区域边界的运动规划流程图。Figure 4 is a flow chart of motion planning for monitoring the boundary of the area.
具体实施方式detailed description
下面结合具体实施例,对本发明作进一步详细说明。The present invention will be further described in detail below in conjunction with specific embodiments.
本发明所提出的一种工业机器人监控区域边界运动规划的方法,目的是解决当机器人高速运行到监控区域边界,进入禁止的区域时,紧急制动造成的机器人本体损伤问题。配合附图说明如下:The method of motion planning for the boundary of the monitoring area of an industrial robot proposed by the present invention aims to solve the problem of damage to the robot body caused by emergency braking when the robot runs to the boundary of the monitoring area at a high speed and enters the forbidden area. In conjunction with the drawings, the description is as follows:
机器人监控区域可为三维空间下的任意形状,机器人可以在区域内作业,也可以在区域外作业,由用户根据作业空间进行设置。如图1(机器人工作在监控区域内)和图2(机器人工作在监控区域外)所示,区域O为设定的监控区域,P为机器人TCP当前位置,V为机器人TCP当前速度。The robot monitoring area can be any shape in the three-dimensional space. The robot can work in the area or outside the area, and the user can set it according to the work space. As shown in Figure 1 (the robot works in the monitoring area) and Figure 2 (the robot works outside the monitoring area), area O is the set monitoring area, P is the current position of the robot TCP, and V is the current speed of the robot TCP.
根据机器人速度V和最大安全加速度参数a max,由公式(1),计算提前减速距离△L。 According to the robot speed V and the maximum safe acceleration parameter a max , formula (1) is used to calculate the advance deceleration distance △L.
△L=V 2/2a max   (1) △L=V 2 /2a max (1)
若机器人在区域内作业,则将监控区域O的边界向内偏移△L,若机器人在区域外作业,则将监控区域O的边界向外偏移△L,以此获得虚拟监控区域O′,O′与O之间的阴影区域即为提前减速区。If the robot is operating in the area, the boundary of the monitoring area O will be shifted inward by △L, if the robot is operating outside the area, the boundary of the monitoring area O will be shifted outward by △L to obtain the virtual monitoring area O' , The shaded area between O'and O is the pre-deceleration zone.
速度V由机器人轨迹规划的速度V plan与当前周期的速度倍率K计算得出,如下: The speed V is calculated from the speed V plan of the robot trajectory plan and the speed multiplier K of the current cycle, as follows:
V=K×V plan   (2) V=K×V plan (2)
其中未减速前速度倍率K等于原始用户设置的速度倍率K sThe speed magnification K before deceleration is equal to the speed magnification K s set by the original user.
当机器人TCP位置P还未到达虚拟监控区域O′时,机器人保持原速度倍率K s运动,当机器人TCP位置P进入虚拟监控区域O′时,设计速率倍率调节函数K sub(t)进行提前减速。速度倍率调节函数K sub(t)为时间的多项式,边界条件要求如下: When the robot TCP position P has not reached the virtual monitoring area O', the robot keeps the original speed multiplier K s movement, when the robot TCP position P enters the virtual monitoring area O', the design rate multiplier adjustment function K sub (t) is decelerated in advance . The speed override adjustment function K sub (t) is a polynomial of time, and the boundary conditions are as follows:
Figure PCTCN2020109600-appb-000003
Figure PCTCN2020109600-appb-000003
时间t的范围为0~T sub,T sub为用户设定的调节时间,其值越小,调节过程越短。K cur是K sub(t)的起始值,即当前周期的速度倍率,首次调节的K cur等于原始倍率K sThe range of time t is 0~T sub , and T sub is the adjustment time set by the user. The smaller the value, the shorter the adjustment process. K cur is the initial value of K sub (t), that is, the speed multiplier of the current cycle. The K cur adjusted for the first time is equal to the original multiplier K s .
速度调节期间,令K等于K sub(t),则机器人进行减速。 During speed adjustment, if K is equal to K sub (t), the robot will decelerate.
减速后速度V变化,根据公式(1)计算变化后的△L,监控区域O需进行对应的偏移,实时刷新得到虚拟监控区域O′。按照TCP当前点P与虚拟监控区域O′的相对位置变化,判断机器人的运动趋势,若当前点P已出虚拟监控区域,再重新调整速度倍率调节函数,逐步恢复至原速度倍率K s,调整后的速度倍率调节函数为K' sub(t)。整个过程实行动态加减速,避免过度降低机器人速度,尽可能地提高机器人工作效率。再次调整的多项式K' sub(t)的边界条件要求如下: The speed V changes after deceleration, and the changed ΔL is calculated according to formula (1). The monitoring area O needs to be shifted correspondingly, and the virtual monitoring area O'is refreshed in real time. According to the relative position change between the current TCP point P and the virtual monitoring area O', determine the movement trend of the robot. If the current point P is out of the virtual monitoring area, then readjust the speed override adjustment function to gradually restore the original speed override K s , and adjust The subsequent speed override adjustment function is K'sub (t). The whole process implements dynamic acceleration and deceleration to avoid excessively reducing the speed of the robot and improve the working efficiency of the robot as much as possible. The boundary conditions of the adjusted polynomial K'sub (t) are as follows:
Figure PCTCN2020109600-appb-000004
Figure PCTCN2020109600-appb-000004
图3为机器人速度V的动态调整示意图,其中图(a)为没有任何速度调整的情况下,当机器人运行到监控区域边界O时紧急制动,输出速度立即变为0,本体承受巨大冲击;图(b)为临近监控区域的运动规划情况,即当机器人进入虚拟监控区域O′,如b′至b〞段所示,按照速率倍率调节函数K sub(t)进行降速,当运行到监控区域边界O时,速度已在一个比较低的范围,此时再立即停止;图(c)为进行降速后,实时刷新虚拟监控区域O′,刷新后的虚拟监控区域为O〞,当机器人已远离虚拟监控区域O〞,如c′至c〞段所示,将按照调整后的速度倍率函数K' sub(t)进行加速,直至恢复到降速前的速度。 Figure 3 is a schematic diagram of the dynamic adjustment of the robot speed V, where Figure (a) shows that without any speed adjustment, when the robot runs to the boundary of the monitoring area O, it will brake urgently, the output speed will immediately become 0, and the body will bear a huge impact; Figure (b) shows the motion planning situation of the adjacent monitoring area, that is, when the robot enters the virtual monitoring area O', as shown in the paragraphs b'to b", the speed will be reduced according to the rate override adjustment function K sub (t). When the monitoring area boundary O, the speed is already in a relatively low range, and it stops immediately; Figure (c) shows that the virtual monitoring area O′ is refreshed in real time after the speed is reduced, and the refreshed virtual monitoring area is O”. The robot has moved away from the virtual monitoring area O", as shown in the section from c'to c", and will accelerate according to the adjusted speed multiplier function K'sub (t) until it returns to the speed before deceleration.
本发明的具体实现流程如图4所示:The specific implementation process of the present invention is shown in Figure 4:
1.输入当前TCP速度V和参数a max,根据公式(1),计算得到虚拟监控区域参数△L。若用户设置机器人在区域内作业,则如附图1偏移设定的监控区域(实线框O)得到虚拟监控 区域(虚线框O′);若用户设置机器人在区域外作业,则如附图2偏移设定的监控区域(实线框O)得到虚拟安全区域(虚线框O′)。 1. Input the current TCP speed V and the parameter a max , and calculate the virtual monitoring area parameter △L according to formula (1). If the user sets the robot to work in the area, as shown in Figure 1, offset the set monitoring area (solid line frame O) to obtain a virtual monitoring area (dotted line frame O'); if the user sets the robot to work outside the area, as shown below Fig. 2 offsets the set monitoring area (solid line frame O) to obtain a virtual safety area (dotted line frame O').
2.判断当前TCP位置点P是否在虚拟监控区域O′与监控区域O之间(图1和图2阴影区内),若在则如附图3(b)中b′至b〞段,根据设计的速度倍率调节函数K sub(t)降低TCP运动速度,提前减速。 2. Determine whether the current TCP position P is between the virtual monitoring area O'and the monitoring area O (the shaded area in Fig. 1 and Fig. 2), if it is, as shown in Fig. 3(b) from b'to b”, According to the designed speed override adjustment function K sub (t), the TCP movement speed is reduced and decelerated earlier.
3.机器人当前TCP位置点P在虚拟监控区域O′之外,判断上次运动周期是否已提前减速,若未提前减速说明上个周期机器人也未进入虚拟监控区域,则不干涉运动规划,保持当前速度倍率。3. The current TCP position P of the robot is outside the virtual monitoring area O', and it is judged whether the last motion cycle has been decelerated in advance. If the robot has not decelerated in advance, it means that the robot did not enter the virtual monitoring area in the last cycle, and the motion planning is not interfered. The current speed override.
4.机器人当前TCP位置点P在虚拟监控区域O′之外,判断上次运动周期已提前减速,说明上个周期机器人是在虚拟监控区域内的,即当前机器人运动趋势是远离监控区域边界,或者其运动轨迹仅是靠近监控区域但不会越过边界,此时如附图3(c)中c′至c〞段,应按照重新设计的倍率调节函数K' sub(t)逐步恢复至原始规划速度倍率,从而避免过度降低机器人的作业效率。 4. The robot's current TCP position P is outside the virtual monitoring area O', and it is judged that the last motion cycle has been decelerated in advance, indicating that the robot was in the virtual monitoring area in the last cycle, that is, the current robot motion trend is far away from the boundary of the monitoring area. Or its trajectory is only close to the monitoring area but will not cross the boundary. At this time, as shown in Figure 3(c), the section c′ to c” should be gradually restored to the original according to the redesigned magnification adjustment function K'sub (t) Plan the speed multiplier to avoid excessively reducing the robot's operating efficiency.
5.机器人当前TCP位置点P已到达监控区域O边界,此时机器人运动速度V经过提前减速的过程,已在一个比较低的范围,故可实行紧急制动,机器人立即停止运动。5. The current TCP position P of the robot has reached the boundary of the monitoring area O. At this time, the robot's motion speed V is already in a relatively low range after an advance deceleration process. Therefore, emergency braking can be implemented and the robot immediately stops moving.
6.每周期重新计算参数△L,刷新虚拟监控区域O′。重复上述步骤,实现对TCP速度的动态加减速调整,直到运动至规划位置或到达监控区域边界为止。6. The parameter △L is recalculated every cycle, and the virtual monitoring area O'is refreshed. Repeat the above steps to realize the dynamic acceleration and deceleration adjustment of the TCP speed until the movement reaches the planned position or reaches the boundary of the monitoring area.

Claims (1)

  1. 一种工业机器人监控区域边界运动规划的方法,其步骤如下:A method for motion planning of industrial robots to monitor the boundary of an area. The steps are as follows:
    步骤1.输入当前TCP速度V和最大安全加速度a max,计算提前减速距离△L: Step 1. Input the current TCP speed V and the maximum safe acceleration a max to calculate the advance deceleration distance △L:
    △L=V 2/2a max△L=V 2 /2a max ;
    若用户设置机器人在区域内作业,则向内偏移设定的监控区域O,偏移距离△L,得到虚拟监控区域O';若用户设置机器人在区域外作业,则向外偏移设定的监控区域O,偏移距离△L,得到虚拟安全区域O';If the user sets the robot to work in the area, the set monitoring area O will be offset inward by the offset distance △L to obtain the virtual monitoring area O'; if the user sets the robot to work outside the area, the set offset will be set to the outside The monitoring area O of, the offset distance △L, to obtain the virtual safety area O';
    步骤2.判断机器人当前TCP位置点P:Step 2. Determine the current TCP position P of the robot:
    若机器人当前TCP位置点P在虚拟监控区域O'与监控区域O之间,则根据设计的速度倍率调节函数K sub(t)降低TCP运动速度,提前减速; If the current TCP position point P of the robot is between the virtual monitoring area O'and the monitoring area O, reduce the TCP motion speed according to the designed speed override adjustment function K sub (t), and decelerate in advance;
    若机器人当前TCP位置点P在虚拟监控区域O'之外,判断上次运动周期是否已提前减速:If the current TCP position P of the robot is outside the virtual monitoring area O', judge whether the last motion cycle has been decelerated in advance:
    a.若上次运动周期未提前减速,说明上个周期机器人也未进入虚拟监控区域,则不干涉运动规划,保持当前速度倍率;a. If the last motion cycle did not decelerate in advance, indicating that the robot did not enter the virtual monitoring area in the last cycle, the motion planning will not be interfered and the current speed override will be maintained;
    b.若上次运动周期已提前减速,说明上个周期机器人是在虚拟监控区域内的,按照重新设计的倍率调节函数K' sub(t)逐步恢复至原始规划速度倍率,从而避免过度降低机器人的作业效率; b. If the last motion cycle has decelerated ahead of time, it means that the robot was in the virtual monitoring area in the last cycle. According to the redesigned magnification adjustment function K'sub (t), it gradually returns to the original planned speed magnification to avoid excessive reduction of the robot. Operational efficiency;
    步骤3.机器人当前TCP位置点P已到达监控区域O边界,此时机器人运动速度V经过提前减速的过程,机器人立即停止运动;Step 3. The current TCP position P of the robot has reached the boundary of the monitoring area O. At this time, the robot's motion speed V has undergone an early deceleration process, and the robot immediately stops moving;
    步骤4.每周期重新计算参数△L,刷新虚拟监控区域O';重复步骤1-3,实现对TCP速度的动态加减速调整,直到运动至规划位置或到达监控区域边界为止。Step 4. Recalculate the parameter △L every cycle and refresh the virtual monitoring area O'; repeat steps 1-3 to realize the dynamic acceleration and deceleration adjustment of the TCP speed until the movement reaches the planned position or reaches the boundary of the monitoring area.
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