WO2017096605A1 - Robot off-line programming method and appartus using the same - Google Patents

Robot off-line programming method and appartus using the same Download PDF

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Publication number
WO2017096605A1
WO2017096605A1 PCT/CN2015/097084 CN2015097084W WO2017096605A1 WO 2017096605 A1 WO2017096605 A1 WO 2017096605A1 CN 2015097084 W CN2015097084 W CN 2015097084W WO 2017096605 A1 WO2017096605 A1 WO 2017096605A1
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WIPO (PCT)
Prior art keywords
robot
tool
data
targets
interface
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PCT/CN2015/097084
Other languages
French (fr)
Inventor
Lei Mao
Shaojie Cheng
Peng KONG
Original Assignee
Abb Schweiz Ag
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Publication date
Application filed by Abb Schweiz Ag filed Critical Abb Schweiz Ag
Priority to CN201580083737.7A priority Critical patent/CN108139730B/en
Priority to JP2018518571A priority patent/JP6577140B2/en
Priority to PCT/CN2015/097084 priority patent/WO2017096605A1/en
Priority to EP15910080.9A priority patent/EP3387496A4/en
Publication of WO2017096605A1 publication Critical patent/WO2017096605A1/en
Priority to US15/950,457 priority patent/US10759050B2/en

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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
    • B25J9/1656Programme controls characterised by programming, planning systems for manipulators
    • B25J9/1671Programme controls characterised by programming, planning systems for manipulators characterised by simulation, either to verify existing program or to create and verify new program, CAD/CAM oriented, graphic oriented programming systems
    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B19/00Programme-control systems
    • G05B19/02Programme-control systems electric
    • G05B19/18Numerical control [NC], i.e. automatically operating machines, in particular machine tools, e.g. in a manufacturing environment, so as to execute positioning, movement or co-ordinated operations by means of programme data in numerical form
    • G05B19/19Numerical control [NC], i.e. automatically operating machines, in particular machine tools, e.g. in a manufacturing environment, so as to execute positioning, movement or co-ordinated operations by means of programme data in numerical form characterised by positioning or contouring control systems, e.g. to control position from one programmed point to another or to control movement along a programmed continuous path
    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B19/00Programme-control systems
    • G05B19/02Programme-control systems electric
    • G05B19/18Numerical control [NC], i.e. automatically operating machines, in particular machine tools, e.g. in a manufacturing environment, so as to execute positioning, movement or co-ordinated operations by means of programme data in numerical form
    • G05B19/408Numerical control [NC], i.e. automatically operating machines, in particular machine tools, e.g. in a manufacturing environment, so as to execute positioning, movement or co-ordinated operations by means of programme data in numerical form characterised by data handling or data format, e.g. reading, buffering or conversion of data
    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B19/00Programme-control systems
    • G05B19/02Programme-control systems electric
    • G05B19/42Recording and playback systems, i.e. in which the programme is recorded from a cycle of operations, e.g. the cycle of operations being manually controlled, after which this record is played back on the same machine
    • G05B19/427Teaching successive positions by tracking the position of a joystick or handle to control the positioning servo of the tool head, master-slave control
    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B2219/00Program-control systems
    • G05B2219/30Nc systems
    • G05B2219/36Nc in input of data, input key till input tape
    • G05B2219/36133MMI, HMI: man machine interface, communication
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y10TECHNICAL SUBJECTS COVERED BY FORMER USPC
    • Y10STECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y10S901/00Robots
    • Y10S901/02Arm motion controller

Definitions

  • the invention relates to robot off-line programming, and more particularly to robot off-line programming have a function of obtaining an optimum robot path.
  • Robot off-line programming system is known to the public for performing robot path generation.
  • a robot for path generation generally several factors are considered, such as tool settings, form of the to-be-machined work pieces, and robot positions, and so on. Based on the actual settings of these factors, machining targets can be determined to ensure the tool grasped by the robot could process an accurate machining while following the robot path. The more targets on the robot path could be machined, the better the machining effect achieves.
  • the system After the basic settings like machining surface parameters and tool settings are set, the system generates a robot path with several targets. Each target has a defined coordinate. When the robot requires to process on a specific target, the robot follows a certain strategy, together with the coordinate information of the target, to adjust its orientation, which ensures the target can be machined.
  • a robot off-line programming method including: respectively obtaining a first data representing positions and orientations of the plurality of targets on at least one work piece, a second data representing position of the at least one work piece, a third data representing geometry of a tool, and a fourth data representing the tool position and orientation with respect to an end of the robot; obtaining the robot path for which the tool tip passes through the plurality of the targets on the at least one work piece; using a function of an inverse kinematics for the robot model in consideration of the first data, the second data, the third data and the fourth data, calculating how many of the targets on the obtained robot path are reachable to the tool in relation to various rotation angle of the tool around the tool axis within a predetermined range so as to comply with optimisation criteria; and presenting the relation as a result of the calculation on an human-machine-interface.
  • a robot off-line programming apparatus including: a processor, a memory and a human-machine-interface, wherein the processor, the memory and the human-machine-interface are adapted to perform the method as above.
  • FIG. 1 illustrates a robot off-line programming apparatus 1 according to an embodiment of the invention
  • FIG. 2 is a flow chart showing the robot off-line programming method according to an embodiment of present invention.
  • FIG. 3 illustrates a line graph intuitively showing the calculation result according to an embodiment of present invention.
  • FIG. 1 illustrates a robot off-line programming apparatus 1 according to an embodiment of the invention.
  • the robot off-line programming apparatus 1 as a whole comprises a processor 10, a memory 11 and a human-machine-interface 12.
  • a keyboard, a mouse and the like are attached to perform editing, correcting, feeding, etc. of program data, parameter data, instructions, etc. for these parts of the robot off-line simulation apparatus through manual operation, when necessary.
  • the processor 10 overall controls on the individual parts of the robot on-line programming apparatus according to system programs, etc. stored in the memory 11.
  • the robot offline programming apparatus is arranged to be able to send and receive data to and from a CAD system, etc.
  • FIG. 2 is a flow chart showing the robot off-line programming method according to an embodiment of present invention.
  • Step S1 obtaining data about positions and orientations of the plurality of targets on at least one work piece, position of the at least one work piece, geometry of the at least one work piece, geometry of a tool, and the tool position and orientation with respect to an end of the robot (Step S1) .
  • the information represented by these data will be calculated for evaluation of the target reachability of a robot path.
  • the robot path can be a result of calculation of the plurality of targets on the at least one work piece according to conventional path planning algorithm, or just be predetermined and input by the operator.
  • Step S3 calculation is performed in consideration of the data obtained in Step S1 to evaluate the target reachability with respect to generated robot path.
  • Step S4 the results of the calculation is presented on the human-machine-interface.
  • the operator is able to intuitively know from what is displayed on the human-machine-interface about if the generated robot path is workable on the specific layout free of interference from the at least one work piece.
  • the time and cost for building the robot system can be saved.
  • the first data representing positions and orientation of the plurality of targets on at least one work piece
  • the fourth data representing the tool position and orientation with respect to an end of the robot.
  • a robot path for which the tool tip passes through the plurality of the targets on the at least one work piece is obtained, for which the target reachability is evaluated and described as below.
  • an attempt to solve the inverse kinematics for the robot model is made.
  • the solution to the inverse kinematics is found at how many of the targets on the obtained robot path are reachable to the tool in relation to various rotation angle of the tool around the tool axis within a predetermined range so as to comply with optimisation criteria.
  • the optimisation criteria concern with collision free robot path of the robot, and the predetermined range runs from -180 degrees to +180 degrees.
  • a positive number indicates that the robot has a clockwise rotatory deviation from the original orientation and the negative number indicates a counter-clockwise rotatory deviation.
  • the calculation result concerning the relation is fed to the human-machine-interface and presented on it.
  • FIG. 3 illustrates a line graph intuitively showing the calculation result according to an embodiment of present invention.
  • the relation between the rate of the plurality of targets that are reachable to the tool and the corresponding rotation of the tool around the tool axis is presented in a coordinate system on the human-machine-interface.
  • a first axis of the coordinate system defines the tool rotation angle
  • a second axis of the coordinate system defines the reachable target rate, where 100%means that all targets are reachable. The lower the rate is, the less targets could be reached.
  • a slider 30 is presented along the first axis of the coordinate system. Via the human-machine-interface, an operator can control the sider 30 to move to a certain tool rotation angle in the first axis. Based on the location of the slider 30, the human-machine-interface is adapted for distinguishing the robot reachable rate that relates to the tool rotation angle where the slider resides from the rest, for example as shown in FIG 3, a vertical dash line appears starting from where the slider 30 stays. The line graph shows a clear trend of reachable target rates when the tool rotates to different angles.
  • the reachable target rate is displayed accordingly.
  • the reachable target rate is 100%, which means that all the targets could be reached when the robot processes at that orientation.
  • the robot position and orientation at the first target on the robot path can be previewed on the 3D graphics window, which provides the users an intuitive view.

Abstract

A robot off-line programming method. The method includes: respectively obtaining a first data representing positions and orientations of the plurality of targets on at least one work piece, a second data representing position of the at least one work piece, a third data representing geometry of a tool, and a fourth data representing the tool position and orientation with respect to an end of the robot; obtaining the robot path for which the tool tip passes through the plurality of the targets on the at least one work piece; using a function of an inverse kinematics for the robot model in consideration of the first data, the second data, the third data and the fourth data, calculating how many of the targets on the obtained robot path are reachable to the tool in relation to various rotation angle of the tool around the tool axis within a predetermined range so as to comply with optimisation criteria. With the automatic calculation and intuitive preview, users could get to know directly about how many targets can be processed actually on a robot path. If the reachability is unsatisfied, the users could also have chances to modify the settings to obtain a more reasonable and precise path. An apparatus for implementing the method is also disclosed.

Description

ROBOT OFF-LINE PROGRAMMING METHOD AND APPARTUS USING THE SAME Technical Field
The invention relates to robot off-line programming, and more particularly to robot off-line programming have a function of obtaining an optimum robot path.
Background Art
Robot off-line programming system is known to the public for performing robot path generation. When off-line programming a robot for path generation, generally several factors are considered, such as tool settings, form of the to-be-machined work pieces, and robot positions, and so on. Based on the actual settings of these factors, machining targets can be determined to ensure the tool grasped by the robot could process an accurate machining while following the robot path. The more targets on the robot path could be machined, the better the machining effect achieves. After the basic settings like machining surface parameters and tool settings are set, the system generates a robot path with several targets. Each target has a defined coordinate. When the robot requires to process on a specific target, the robot follows a certain strategy, together with the coordinate information of the target, to adjust its orientation, which ensures the target can be machined.
However, even when a robot off-line programming is done to satisfy the conditions as mentioned above, it is not rare that problems occur such that some of the targets cannot be reached by the robot to process assuming certain postures, due to limited working range This will affect the machining effects and accuracy, and as a result, unexpected time and cost is required to build the robot system.
Brief Summary of the Invention
According to an aspect of the invention, it provides a robot off-line programming method, including: respectively obtaining a first data representing positions and orientations of the plurality of targets on at least one work piece, a second data representing position of the at least one work piece, a third data representing geometry of a tool, and a fourth data representing the tool position and orientation with respect to an end of the robot; obtaining the robot path for which the tool tip passes through the plurality of the targets on the at least one work piece; using a function of an inverse kinematics for the robot model in consideration of the first data, the second data, the third data and the fourth data, calculating how many of the targets on the obtained robot path are reachable to the tool in relation to various rotation angle of the tool around the tool axis within a predetermined range so as to comply with optimisation criteria; and presenting the relation as a result of the calculation on an human-machine-interface.
According to another aspect of present invention, it provides a robot off-line programming apparatus, including: a processor, a memory and a human-machine-interface, wherein the processor, the memory and the human-machine-interface are adapted to perform the method as above.
With the automatic calculation and intuitive preview, users could get to know directly about how many targets can be processed actually on a robot path. If the reachability is unsatisfied, the users could also have chances to modify the settings to obtain a more reasonable and  precise path. The relationship between the rotation angle of the robot and the reachable target rate could also facilitate the users to have a better known about how to effectively adjust the robot orientation. The preview function also help the users observe desired robot orientation.
Brief Description of the Drawings
The subject matter of the invention will be explained in more detail in the following text with reference to preferred exemplary embodiments which are illustrated in the drawings, in which:
FIG. 1 illustrates a robot off-line programming apparatus 1 according to an embodiment of the invention;
FIG. 2 is a flow chart showing the robot off-line programming method according to an embodiment of present invention; and
FIG. 3 illustrates a line graph intuitively showing the calculation result according to an embodiment of present invention.
The reference symbols used in the drawings, and their meanings, are listed in summary form in the list of reference symbols. In principle, identical parts are provided with the same reference symbols in the figures.
Preferred Embodiments of the Invention
In the following description, for purposes of explanation and not limitation, specific details are set forth, such as particular circuits, circuit components, interfaces, techniques, etc. in order to provide a thorough understanding of the present invention. However, it will be apparent to one skilled in the art that the present invention may be practiced in other embodiments that depart from these specific details. In other instances, detailed descriptions of well-known methods and programming procedures, devices, and circuits are omitted so not to obscure the description of the present invention with unnecessary detail.
FIG. 1 illustrates a robot off-line programming apparatus 1 according to an embodiment of the invention. As shown in FIG. 1, the robot off-line programming apparatus 1 as a whole comprises a processor 10, a memory 11 and a human-machine-interface 12. Although not shown in the figure, a keyboard, a mouse and the like are attached to perform editing, correcting, feeding, etc. of program data, parameter data, instructions, etc. for these parts of the robot off-line simulation apparatus through manual operation, when necessary. Further, the processor 10 overall controls on the individual parts of the robot on-line programming apparatus according to system programs, etc. stored in the memory 11. Further, the robot offline programming apparatus is arranged to be able to send and receive data to and from a CAD system, etc. through an appropriate input/output interface and communication lines (not shown) . Program data, parameter data, etc. required for processing for obtaining information concerning target reachability, which will be described later, are stored in the memory 11. Start-up of the memory 11, and reading, writing, correcting, etc. of data are controlled by the processor 10.
FIG. 2 is a flow chart showing the robot off-line programming method according to an embodiment of present invention.
First, obtaining data about positions and orientations of the plurality of targets on at least one work piece, position of the at least one work piece, geometry of the at least one work piece, geometry of a tool, and the tool position and orientation with respect to an end of the robot (Step S1) . The information represented by these data will be calculated for evaluation of the target reachability of a robot path.
Then, obtaining the robot path for which the tool tip passes through the plurality of the targets on the at least one work piece (Step S2) . The robot path can be a result of calculation of the plurality of targets on the at least one work piece according to conventional path planning algorithm, or just be predetermined and input by the operator.
Next, calculation is performed in consideration of the data obtained in Step S1 to evaluate the target reachability with respect to generated robot path (Step S3) .
Further, the results of the calculation is presented on the human-machine-interface (Step S4) . Thus, the operator is able to intuitively know from what is displayed on the human-machine-interface about if the generated robot path is workable on the specific layout free of interference from the at least one work piece. By using the method and system according to present invention, the time and cost for building the robot system can be saved.
The above-mentioned steps will be described in detail below.
Description of Step S1:
In order to have sufficient information to assess the target reachability on a robot path, the following data are respectively fed to the robot off-line programming apparatus as shown in FIG. 1:
the first data representing positions and orientation of the plurality of targets on at least one work piece,
the second data representing position of the at least one work piece,
the third data representing geometry of a tool, and
the fourth data representing the tool position and orientation with respect to an end of the robot.
Description of Step S2:
A robot path for which the tool tip passes through the plurality of the targets on the at least one work piece is obtained, for which the target reachability is evaluated and described as below.
Description of Step S3:
Regarding the entire sequence of the multiple targets and the first through fourth data, an attempt to solve the inverse kinematics for the robot model is made. The solution to the inverse kinematics is found at how many of the targets on the obtained robot path are reachable to the tool in relation to various rotation angle of the tool around the tool axis within a predetermined range so as to comply with optimisation criteria. For example, the optimisation criteria concern with collision free robot path of the robot, and the predetermined range runs from -180 degrees to +180 degrees. A positive number indicates that the robot has a clockwise rotatory deviation from the original orientation and the negative number indicates a counter-clockwise rotatory deviation. It is to be noted that in the actual calculation of the inverse kinematics, addition or processing of information is needed depending on what data has been fed about the sequence of the targets. A brief explanation of this will be provided below.
With Above input, then we get the Forword Kinematics euqtion, in which, x1, x2, x3... represent the joints values of the robot. By solving this equation, we then get the inverse kinematics of the robot, then get the joints values for each target on robot path, if there is no solution for specific target, then it is not reachiable.
Figure PCTCN2015097084-appb-000001
If there is series of target, so the translations of them should be:
Figure PCTCN2015097084-appb-000002
Use the equation to find solutions for those targets, then we can get the reahiability percent by following calculation,
Figure PCTCN2015097084-appb-000003
Repeat above process for each angle setting, then we get all datas prepared for the line graph. 
Figure PCTCN2015097084-appb-000004
Translation from world coordinate frame to offline programming coordinate frame (named work object) , this should be defined before starting offline programming, usually it is attached to the work piece, which is the second data defined in S1;
Figure PCTCN2015097084-appb-000005
Translation from offline programming frame to target frame (means the position and orientation for targets in the path) , this relates the first data defined in S1;
Figure PCTCN2015097084-appb-000006
Translation from word coordinate frame to robot base frame, this can be get after a robot layout is designed;
Figure PCTCN2015097084-appb-000007
Forward Kinematics translation from robot base to flange frame;
Figure PCTCN2015097084-appb-000008
Translation from flange frame to tool base frame, this relates to the fourth data as defined in S 1
Figure PCTCN2015097084-appb-000009
Translation from tool base frame to tool center point frame, this relates to the third data as defined in S1.
Description of Step S4:
In order to intuitively presenting the outcome from the calculation as above, the calculation result concerning the relation is fed to the human-machine-interface and presented on it.
FIG. 3 illustrates a line graph intuitively showing the calculation result according to an embodiment of present invention. As shown in FIG. 3, the relation between the rate of the plurality of targets that are reachable to the tool and the corresponding rotation of the tool around the tool axis is presented in a coordinate system on the human-machine-interface. A first axis of the coordinate system defines the tool rotation angle, and a second axis of the coordinate system defines the reachable target rate, where 100%means that all targets are reachable. The lower the rate is, the less targets could be reached.
slider 30 is presented along the first axis of the coordinate system. Via the human-machine-interface, an operator can control the sider 30 to move to a certain tool rotation angle in the first axis. Based on the location of the slider 30, the human-machine-interface is adapted for distinguishing the robot reachable rate that relates to the tool rotation angle where the slider resides from the rest, for example as shown in FIG 3, a vertical dash line appears starting from where the slider 30 stays. The line graph shows a clear trend of reachable target rates when the tool rotates to different angles.
When dragging the slider 30 on the first axis to a specific rotation angle, the reachable target rate is displayed accordingly. As shown in FIG. 3, when the tool rotates around the tool axis to an angle 130 degrees deviated from its original orientation, the reachable target rate is 100%, which means that all the targets could be reached when the robot processes at that orientation. At the same time, the robot position and orientation at the first target on the robot path can be previewed on the 3D graphics window, which provides the users an intuitive view.
When the slider 30 is dragged to an angle at which the target rate is not 100%, that means not all targets could be reached by the robot and users may change settings or change robot orientation adjustment strategy. The higher the rate is, the more targets could be processed and the less impossible the machining failure occurs.
As long as the reachable target rate could achieve 100%with the robot at a certain angle, it is considered that the robot path is available for machining. Otherwise, the settings must be modified.
With the automatic calculation and intuitive preview, users could get to know directly about how many targets can be processed actually on a robot path. If the reachability is unsatisfied, the users could also have chances to modify the settings to obtain a more reasonable and precise path. The relationship between the rotation angle of the robot and the reachable target rate could also facilitate the users to have a better known about how to effectively adjust the robot orientation. The preview function also help the users observe desired robot orientation.
Though the present invention has been described on the basis of some preferred embodiments, those skilled in the art should appreciate that those embodiments should by no way limit the scope of the present invention. Without departing from the spirit and concept of the present invention, any variations and modifications to the embodiments should be within the apprehension of those with ordinary knowledge and skills in the art, and therefore fall in the scope of the present invention which is defined by the accompanied claims.

Claims (7)

  1. A robot off-line programming method, including:
    respectively obtaining a first data representing positions and orientations of the plurality of targets on at least one work piece, a second data representing position of the at least one work piece, a third data representing geometry of a tool, and a fourth data representing the tool position and orientation with respect to an end of the robot;
    obtaining the robot path for which the tool tip passes through the plurality of the targets on the at least one work piece;
    using a function of an inverse kinematics for the robot model in consideration of the first data, the second data, the third data and the fourth data, calculating how many of the targets on the obtained robot path are reachable to the tool in relation to various rotation angle of the tool around the tool axis within a predetermined range so as to comply with optimisation criteria; and
    presenting the relation as a result of the calculation on an human-machine-interface.
  2. The method according to claim 1, wherein:
    the relation is presented in a coordinate system on the human-machine-interface.
  3. The method according to claim 2, wherein:
    the relation is between a rate of the plurality of targets that are reachable to the tool and the corresponding tool rotation angle.
  4. The method according to claim 3, wherein:
    a slider is presented along a first axis of the coordinate system defining the tool rotation angle on the human-machine-interface;
    via the human-machine-interface, the sider can be controlled to move to a certain tool rotation angle in the first axis; and
    the human-machine-interface is adapted for distinguishing the robot reachable rate that relates to the tool rotation angle where the slider resides from the rest.
  5. The method according to any of the preceding claims, wherein:
    the optimisation criteria concern with collision free movement of the robot.
  6. The method according to any of the preceding claims, wherein:
    the predetermined range runs from -180 degrees to +180 degrees.
  7. A robot off-line programming apparatus, including: a processor, a memory and a human-machine-interface, wherein the processor, the memory and the human-machine-interface are adapted to perform the method according to any of the claims 1 to 6.
PCT/CN2015/097084 2015-12-11 2015-12-11 Robot off-line programming method and appartus using the same WO2017096605A1 (en)

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