FI125511B - Wired distance detector and system based on it to generate robot calibration data - Google Patents
Wired distance detector and system based on it to generate robot calibration data Download PDFInfo
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- FI125511B FI125511B FI20145378A FI20145378A FI125511B FI 125511 B FI125511 B FI 125511B FI 20145378 A FI20145378 A FI 20145378A FI 20145378 A FI20145378 A FI 20145378A FI 125511 B FI125511 B FI 125511B
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B7/00—Measuring arrangements characterised by the use of electric or magnetic techniques
- G01B7/02—Measuring arrangements characterised by the use of electric or magnetic techniques for measuring length, width or thickness
- G01B7/026—Measuring arrangements characterised by the use of electric or magnetic techniques for measuring length, width or thickness for measuring length of cable, band or the like, which has been paid out, e.g. from a reel
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B25—HAND TOOLS; PORTABLE POWER-DRIVEN TOOLS; MANIPULATORS
- B25J—MANIPULATORS; CHAMBERS PROVIDED WITH MANIPULATION DEVICES
- B25J9/00—Programme-controlled manipulators
- B25J9/16—Programme controls
- B25J9/1615—Programme controls characterised by special kind of manipulator, e.g. planar, scara, gantry, cantilever, space, closed chain, passive/active joints and tendon driven manipulators
- B25J9/1623—Parallel manipulator, Stewart platform, links are attached to a common base and to a common platform, plate which is moved parallel to the base
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B25—HAND TOOLS; PORTABLE POWER-DRIVEN TOOLS; MANIPULATORS
- B25J—MANIPULATORS; CHAMBERS PROVIDED WITH MANIPULATION DEVICES
- B25J9/00—Programme-controlled manipulators
- B25J9/16—Programme controls
- B25J9/1679—Programme controls characterised by the tasks executed
- B25J9/1692—Calibration of manipulator
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B3/00—Measuring instruments characterised by the use of mechanical techniques
- G01B3/11—Chains for measuring length
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B7/00—Measuring arrangements characterised by the use of electric or magnetic techniques
- G01B7/004—Measuring arrangements characterised by the use of electric or magnetic techniques for measuring coordinates of points
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- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
- G05B2219/00—Program-control systems
- G05B2219/30—Nc systems
- G05B2219/37—Measurements
- G05B2219/37126—Wire, tape around cylinder measures displacement, string encoder
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- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
- G05B2219/00—Program-control systems
- G05B2219/30—Nc systems
- G05B2219/39—Robotics, robotics to robotics hand
- G05B2219/39009—Using fixture with potentiometer, wire to end effector, estimate lenght of wire
-
- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
- G05B2219/00—Program-control systems
- G05B2219/30—Nc systems
- G05B2219/39—Robotics, robotics to robotics hand
- G05B2219/39024—Calibration of manipulator
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- Engineering & Computer Science (AREA)
- Robotics (AREA)
- Mechanical Engineering (AREA)
- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Health & Medical Sciences (AREA)
- General Health & Medical Sciences (AREA)
- Orthopedic Medicine & Surgery (AREA)
- Manipulator (AREA)
- Numerical Control (AREA)
Description
A system and a method for generating robot calibration data Field of the invention
The invention relates to a system and a method for generating deviation data which is indicative of inaccuracy of kinematic parameters of a robot and is suitable for calibrating the robot.
Background
In many cases there is a need to detect a distance between two points in a three-dimensional space. For example, when calibrating a robot, there is a need to measure the position and orientation, i.e. six degrees-of-freedom “6-DOF”, of an end-effector of the robot. The robot can be for example an industrial robot comprising at least one manipulator that is an arm-like mechanism that consists of links affixed to each other with joints. The manipulator extends from a base frame of the robot to the end-effector. The end-effector is a device at the end of the manipulator where a tool is attached to the manipulator. The exact nature of the end-effector depends on the application of the robot, and in a wider sense, the end effector can be seen as the part of a robot that interacts with the work environment. The position and orientation of the end-effector in a workspace coordinate system fixed to the base frame of the robot is determined by states of the joints of the manipulator. The states of the joints are typically expressed with the aid of joint variables which indicate the instantaneous states, e.g. angles of rotation, of the joints. Estimate position and orientation of the end-effector can be calculated on the basis of prevailing joint variables and the forward-kinematics based on kinematic parameters of the manipulator. Correspondingly, the joint variables needed for setting the end-effector in a desired position and orientation can be calculated on the basis of the desired position and orientation and the inverse-kinematics based on the kinematic parameters.
In order to provide sufficiently accurate operation of the robot, the estimate position and orientation based on the joint variables and the kinematic parameters have to correspond to the real position and orientation of the end-effector with a sufficient accuracy. Thus, the above-mentioned kinematic parameters have to reflect the real kinematics of the manipulator accurately enough. Furthermore, the kinematic parameters should compensate for non-idealities of the joints and possible systematic errors in the joint parameters. In order to maintain the sufficient accuracy of the kinematic parameters, there is in many cases a need to calibrate the kinematic parameters not only during commissioning of the robot but also periodically relating to the course of usage of the robot. The calibration is based on deviation data indicative of inaccuracy in the above-mentioned kinematic parameters. The deviation data can be obtained by comparing the estimate position and orientation based on the joint variables and the kinematic parameters to a reference estimate of the position and orientation of the end-effector. The reference estimate can be obtained by measuring distances from a plurality of base points fixed with respect to the workspace coordinate system to end-effector points fixed with respect to the end-effector and by computing the position and orientation of the end-effector on the basis of known locations of the base-points and the measured distances. The challenge of this approach is related to the need to measure the above-mentioned distances in a sufficiently accurate way.
Summary
The following presents a simplified summary in order to provide a basic understanding of some aspects of various invention embodiments. The summary is not an extensive overview of the invention. It is neither intended to identify key or critical elements of the invention nor to delineate the scope of the invention. The following summary merely presents some concepts of the invention in a simplified form as a prelude to a more detailed description of exemplifying embodiments of the invention.
In accordance with the invention, there is provided a new system for generating deviation data indicative of inaccuracy in kinematic parameters of a robot. The robot comprises an end-effector whose estimate position and orientation in a workspace coordinate system fixed with respect to a base frame of the robot are determined by joint variables related to the robot and by forward-kinematics based on the kinematic parameters. A system according to the invention comprises: - a distance detector in a fixed position with respect to the base frame of the robot and configured to measure a plurality of distances each being a distance from one of base points of the distance detector to one of end-effector points in fixed positions with respect to the end-effector, and - a controller for computing position and orientation of the end-effector in the workspace coordinate system on the basis of the plurality of the distances and for forming data indicative of a deviation between the computed position and orientation and the estimate position and orientation so as to generate the deviation data.
The distance detector comprises a plurality of cable-based distance detectors so that the cable of each of the cable-based distance detector extends though one of the base points to one of the end-effector points and an encoder signal produced by the cable-based distance detector under consideration is indicative of the distance from the base point under consideration to the end-effector point under consideration.
Each of the above-mentioned cable-based distance detectors comprises: - a winding drum for winding the cable, - a torque generator for directing torque to the winding drum so as to retract the cable, - a measurement drum configured to be rotated by the cable in a first direction response to winding the cable in by the winding drum and in a second direction in response to winding the cable off from the winding drum, and - an encoder connected to the measurement drum and configured to produce the encoder signal indicative of revolutions of the measurement drum and also the length of a portion of the cable caused the revolutions of the measurement drum.
When the cable winds around the winding drum, portions of the cable gets typically a helical form on the winding drum and furthermore the cable overlaps with itself when the winding drum has turned some revolutions. These factors cause variation between the lengths of different turns of the cable on the winding drum. This would cause a measurement error if the measurement were based on the revolutions of the winding drum. As the above-described cable-based distance detector comprises the measurement drum in addition to the winding drum, the variation between the lengths of different turns of the cable on the winding drum does not have any impact on the measurement and thus the length of the cable wound in or off can be measured more accurately.
The cables, the base points, and the end-effector points are advantageously arranged to constitute a 3-2-1 Stewart configuration. The forward kinematics of the 3-2-1 Stewart configuration can be solved analytically, and the six Cartesian coordinates defining the position and orientation of the end-effector can be calculated using the lengths of the six limbs of the 3-2-1 Stewart configuration, i.e. the measured distances from the base points to the end-effector points.
In accordance with the invention, there is provided also a new method for generating deviation data indicative of inaccuracy in kinematic parameters of a robot that comprises an end-effector whose estimate position and orientation in a workspace coordinate system fixed with respect to a base frame of the robot are determined by joint variables related to the robot and by forward-kinematics based on the kinematic parameters, The method comprises: - measuring a plurality of distances each being a distance from one of base points in fixed positions with respect to the base frame to one of end-effector points in fixed positions with respect to the end-effector, and - computing position and orientation of the end-effector in the workspace coordinate system on the basis of the plurality of the distances, and - forming data indicative of a deviation between the computed position and orientation and the estimate position and orientation so as to generate the deviation data.
The above-mentioned distances are measured with cable-based distance detectors of the kind described above. The cable of each of the cable-based distance detectors extends though one of the base points to one of the end-effector points and the encoder signal produced by the cable-based distance detector under consideration is indicative of the distance from the base point under consideration to the end-effector point under consideration.
In accordance with the invention, there is provided also a new calibration method for calibrating a robot. A calibration method according to the invention comprises: - carrying out the above-described method for generating the deviation data, and - updating the kinematic parameters of the robot on the basis of the deviation data.
In a calibration method according to an exemplifying and non-limiting embodiment of the invention, the method for generating the deviation data is carried out at least two times, and more preferably at least three times, so that the position of the end-effector is different at each time. The kinematic parameters are updated on the basis of data containing the deviation data obtained for each of the different positions of the end-effector so as to improve the accuracy of the robot calibration.
A number of exemplifying and non-limiting embodiments of the invention are described in accompanied dependent claims.
Various exemplifying and non-limiting embodiments of the invention both as to constructions and to methods of operation, together with additional objects and advantages thereof, will be best understood from the following description of specific exemplifying and non-limiting embodiments when read in connection with the accompanying drawings.
The verbs “to comprise” and “to include” are used in this document as open limitations that neither exclude nor require the existence of unrecited features. The features recited in dependent claims are mutually freely combinable unless otherwise explicitly stated. Furthermore, it is to be understood that the use of "a" or "an", i.e. a singular form, throughout this document does not exclude a plurality.
Brief description of the figures
Exemplifying and non-limiting embodiments of the invention and their advantages are explained in greater detail below in the sense of examples and with reference to the accompanying drawings, in which: figures 1a and 1b show schematic illustrations of cable-based distance detector suitable for a system according to an exemplifying and non-limiting embodiment of the invention for generating deviation data indicative of inaccuracy in kinematic parameters of the robot, figure 2a illustrates of a robot and a system according to an exemplifying and nonlimiting embodiment of the invention for generating deviation data indicative of inaccuracy in kinematic parameters of the robot, figure 2b illustrates elements of a system according to an exemplifying and nonlimiting embodiment of the invention, figures 2c and 2d illustrate exemplifying mutual positions and orientations of elements of a system according to an exemplifying and non-limiting embodiment of the invention, figure 3 shows a flowchart of a measurement method suitable for a method according to an exemplifying and non-limiting embodiment of the invention for generating deviation data indicative of inaccuracy in kinematic parameters of a robot, and figure 4 shows a flowchart of a method according to an exemplifying and nonlimiting embodiment of the invention for generating deviation data indicative of inaccuracy in kinematic parameters of a robot.
Description of exemplifying and non-limiting embodiments
Figures 1 a and 1 b show schematic illustrations of cable-based distance detector suitable for a system according to an exemplifying and non-limiting embodiment of the invention for generating deviation data indicative of inaccuracy in kinematic parameters of the robot. The cable-based distance detector comprises a winding drum 101 for winding a cable 110 and a torque generator 102 for directing torque to the winding drum so as to retract the cable. In this exemplifying case, the torque generator 102 comprises a winding spring which stores mechanical energy when the cable is drawn out from the cable-based distance detector and which makes the winding drum to wind the cable in when the cable is allowed to move into the cable-based distance detector. In principle it is also possible that the torque generator comprises e.g. a rotating electrical machine driven with regulated current. The cable-based distance detector comprises a measurement drum 103 configured to be rotated by the cable in a first direction response to winding the cable in by the winding drum 101 and in a second direction in response to winding the cable off from the winding drum. The cable-based distance detector comprises an encoder 104 connected to the measurement drum and configured to produce an encoder signal S indicative of revolutions of the measurement drum. Thus, the encoder signal S is indicative of also the length of a portion of the cable which has caused the above-mentioned revolutions of the measurement drum 103. The encoder 104 can be for example a pulse encoder which produces e.g. 10000 pulses per revolution “PPR”.
The cable-based distance detector may further comprise a press roller 105 and a spring 106 for making the press roller to press the cable 110 against the measurement drum 103 so as to avoid slip between the cable and the measurement drum.
The cable-based distance detector may further comprise a first cable guide 107 for guiding the cable to get in contact with the measurement drum 103 in a given position in the axial direction of the measurement drum when the cable is being wound in by the winding drum. The first cable guide 107 comprises a hole or a slot for guiding the cable. The axial direction of the measurement drum is parallel with the z-direction of a coordinate system 199.
The cable-based distance detector may further comprise a second cable guide 108 for guiding the cable to get in contact with the measurement drum 103 in a given position in the axial direction of the measurement drum when the cable is being wound off from the winding drum. The second cable guide 108 comprises a hole or a slot for guiding the cable.
The measurement drum 103 may comprise a circumferential slot 109 for the cable so as to ensure that the cable contacts the measurement drum in a given position in the axial direction of the measurement drum. The combination of the press roller 105, the slot 109, and the cable guides 107 and 108, provides a significant certainty that the cable travels in and out in the same position. As a result, the travelling length of the cable can be measured accurately on the basis of the rotations of the measurement drum.
The cable can be arranged to wind one or two circles around the measurement drum 103 without any gap in between and without any overlap to each other so as to avoid any slip between the cable and the measurement drum. In figure 1a, this is illustrated with a dashed line arch 125. The above-mentioned circumferential slot can be designed to allow the cable to wind the one or two circles around the measurement drum 103. Axially directed gaps and overlaps between the circles of the cable can be avoided with a suitable design of the slot and/or with the aid of the cable guides 107 and 108 and the press roller 105 which control how the cable contacts the measurement drum. Furthermore, there can be more than one spring-driven press roller for pressing the cable against the measurement drum.
Figure 2a illustrates of a robot and a system according to an exemplifying and non-limiting embodiment of the invention for generating deviation data indicative of inaccuracy in kinematic parameters related to the robot. The robot can be for example an industrial robot. The robot comprises a manipulator 215 that comprises links 216, 217, 218, and 219 affixed to each other with joints 221, 222, 223, and 224. The manipulator 215 extends from a base frame 220 to an end-effector 232 which is a device at the end of the manipulator where a tool is attached to the manipulator. The exact nature of the end-effector 232 depends on the application of the robot. A robot controller 227 is communicatively connected to the manipulator 215, and the robot controller comprises computing means for controlling the manipulator to operate in a desired way. A teaching board 228 is connected to the ro- bot controller 227, and the teaching board comprises a conventional manual key, whereby an operator may manually operate the robot.
The position and orientation of the end-effector 232 in a workspace coordinate system 299 is determined by states of the joints 221-224. The workspace coordinate system 299 is fixed with respect to the base frame 220 but the origin of the workspace coordinate system does not have to be at the base frame. The states of the joints 221 -224 are typically expressed with the aid of joint variables which indicate the instantaneous states, e.g. the angles of rotation, of the joints. Estimate position and orientation of the end-effector 232 in the coordinate system 299 can be calculated on the basis of prevailing joint variables and the forward-kinematics based on the kinematic parameters of the manipulator. Correspondingly, the joint variables needed for setting the end-effector in a desired position and orientation in the coordinate system 299 can be calculated on the basis of the desired position and orientation and the inverse-kinematics based on the kinematic parameters.
The system for generating the above-mentioned deviation data comprises a distance detector 211 that is mechanically supported to be in a fixed position with respect to the base frame 220 of the robot. The distance detector 211 is configured to measure a plurality of distances each being a distance from one of base points of the distance detector to one of end-effector points in fixed positions with respect to the end-effector 232. In the exemplifying case illustrated in figure 2b, there are the base points 213a, 213b, 213c, 213d, 213e and 213f, and the end-effector points 214a, 214b and 214c. In the exemplifying case illustrated in figure 2a, the end-effector points 214a, 214b and 214c are implemented with the aid of a measurement element 225 that is attached to the end-effector 232.
The system comprises a controller 212 for computing the position and orientation of the end-effector 232 in the workspace coordinate system 299 on the basis of the measured the distances. The controller 212 can be for example an ordinary computer. In this exemplifying case, the controller 212 is communicatively connected to the robot controller 227 via a data switch element 226. In order to generate the deviation data, the controller 212 is configured to form data indicative of the deviation between the computed position and orientation of the end-effector and the estimate position and orientation based on the joint variables and the forward kinematics of the manipulator 215. The controller 212 may have its own means for calculating the estimate position and orientation on the basis of the joint variables and the forward kinematics of the manipulator. Alternatively, the controller 212 can be configured to utilize the robot controller 227 for calculating the estimate position and orientation.
The distance detector 211 comprises a plurality of cable-based distance detectors of the kind described above with reference to figures 1a and 1b. The cable-based distance detectors are inside the distance detector 211 and thus the cable-based distance detectors are not visible in figure 2a. Each of the cable-based distance detectors can be for example such as illustrated in figures 1 a and 1 b. The cables of the cable-based distance detectors extend through apertures representing the above-mentioned base points 213a-213f. The ends of the cables are attached to the above-mentioned end-effector points 214a-214c. The encoder signal produced by each cable-based distance detector is indicative of the distance from the respective base point to the respective end-effector point. In the exemplifying case illustrated in figure 2b, the cables are arranged to constitute a 3-2-1 Stewart configuration where the cables 210b, 210c and 21 Od related to first, second, and third ones of the base points 213b, 213c and 213d are connected to a first one of the end-effector points 214b, the cables 210a and 21 Of related to fourth and fifth ones of the base points 213a and 213f are connected to a second one of the end-effector points 214a, and the cable related to a sixth one of the base points 213e is connected to a third one of the end-effector points 214c. The forward kinematics of the 3-2-1 Stewart configuration can be solved analytically and the six Cartesian coordinates defining the position and orientation of the end-effector can be calculated using the lengths of the six limbs of the 3-2-1 Stewart configuration, i.e. the measured distances from the base points to the end-effector points.
In a system according to another exemplifying and non-limiting embodiment of the invention, the cables are arranged to constitute a 2-2-2 configuration where the cables related to the first and second ones of the base points are connected to the first one of the end-effector points, the cables related to the third and fourth ones of the base points are connected to the second one of the end-effector points, and the cables related to the fifth and sixth ones of the base points are connected to the third one of the end-effector points.
Figure 2b illustrates a distance detector 241 and a measurement element 245 of a system according to an exemplifying and non-limiting embodiment of the invention where the number of the base points is greater than six. In this exemplifying case, the distance detector 241 comprises nine cable-based distance detectors whose cables are drawn through apertures representing the nine base points 213a, 213b, 213c, 213d, 213e, 213f, 213g, 213h and 213i. The cable-based distance detectors are not visible in figure 2b. The measurement element 245 comprises end-effector points 231a, 231 b and 231 c where the cables can be attached to.
In a system according to an exemplifying and non-limiting embodiment of the invention where the number of the base points is greater than six, the controller 212 shown in figure 2a is configured to compute a set of preliminary values for the position and orientation of the end-effector 232 on the basis of encoder signals related to mutually different six-member subsets of the base points and to compute the position and orientation of the end-effector on the basis of the preliminary values. For example, in the case illustrated in figure 2b, a first six-member subset of the base points may comprises e.g. the base points 213a-213f and a second six-member subset may comprise e.g. the base points 213a, 213g, 213c, 213h, 213e and 213i. It is worth noting that there are up to 84 different possibilities to select a six-member subset out of the nine base points.
For example, the controller 212 can be configured to compute numerical values defining the position and orientation of the end-effector to be weighted averages of mutually corresponding numerical values related to the mutually different six-member subsets so as to compute the position and orientation of the end-effector 232 on the basis of the preliminary values. For example, the x-coordinate of the end-effector can be a weighted average of the x-coordinates obtained with the different six-member subsets. The controller can be configured to set a weight for each of the six-member subsets on the basis of a minimum change of the encoder signals related to the six-member subset under consideration and to movement of the end-effector from a previous position and orientation to the position and orien- tation being computed so that a smaller minimum change of the encoder signals corresponds to a smaller weight than a greater minimum change of the encoder signals corresponds to. The purpose of the above-mentioned way of selecting the weights is to suppress the influence of such distance measurements whose relative accuracy may be poorer than that of the other distance measurements.
In a system according to another exemplifying and non-limiting embodiment of the invention where the number of the base points is greater than six, the controller 212 is configured to select six ones of the base points so that such one or more of the base points, relating to which there are smallest changes of the encoder signals when the end-effector is moved from a previous position and orientation to the position and orientation being computed, are left out from the selected six ones of the base points. The controller is configured to compute the position and orientation of the end-effector 232 on the basis of the encoder signals related to the selected six ones of the base points. In this case, such distance measurements whose relative accuracy may be poorer than that of the other distance measurements are left out from the consideration.
Figures 2c and 2d illustrate exemplifying mutual positions and orientations of the distance detector 211 and the measurement element 225. Figure 2c shows a situation where the measurement element 225 is mated with the distance detector 211. The mutual position and orientation of the measurement element 225 and the distance detector 211 shown in figure 2c can be regarded as absolute zero position and orientation and all the mechanical and cable dimensions can be calibrated in advance in this situation so as to improve the measurement accuracy. When the measurement element 225 has been mounted to the end-effector 232, the new particular position and orientation shown in figure 2d can be regarded as new zero position and orientation according to case-specific needs, and all the measurement thereafter conducted can be referred to the new zero position and orientation.
A system according to an exemplifying and non-limiting embodiment of the invention comprises a temperature sensor 230 and the controller 212 is configured to correct the encoder signals on the basis of the thermal expansion coefficient of the material of the cables and a measured change of temperature. When the temperature is changing, the encoder signals related to a given position and orientation of the end-effector may change because the cables get deformed due to the temperature change. For example, the encoder signals corresponding to the above-mentioned new zero position and orientation shown in figure 2d may change due to temperature changes.
In a system according to an exemplifying and non-limiting embodiment of the invention, the controller 212 is configured to correct the encoder signals on the basis of elasticity of the cables and estimates of tensions acting on the cables. An estimate for the tension can be obtained for example on the basis of known properties of a cable-based distance detector, e.g. the force generated by a winding spring as a function of the measured distance, i.e. the amount of the cable drawn out.
The deviation data indicative of the inaccuracy in the kinematic parameters can be used as input data for a suitable calibration algorithm which updates the kinematic parameters. In a system according an exemplifying and non-limiting embodiment of the invention, the controller 212 is configured to update the kinematic parameters on the basis of the deviation data. The format of the deviation data and the way how the deviation data has to express the deviation between the computed position and orientation and the estimate position and orientation based on the joint variables depend typically on the calibration algorithm being used. In a system according an exemplifying and non-limiting embodiment of the invention, the controller 212 is configured to carry out the above-described process for obtaining the deviation data at least two times, and more preferably at least three times, so that the position of the end-effector 232 is different at each time. The kinematic parameters are updated on the basis of data containing the deviation data obtained for each of the different positions of the end-effector.
Figure 3 shows a flowchart of a measurement method for measuring a length of a portion of a cable wound in by, or off from, a winding drum of a cable-based distance detector. The measurement method comprises the following actions: - action 301: arranging the cable to rotate a measurement drum when the cable is wound in by, or off from, the winding drum, the measurement drum being separate with respect to the winding drum, and - action 302: producing an encoder signal indicative of revolutions of the measurement drum when the cable is wound in by, or off from, the winding drum, the encoder signal being indicative of also the length of the portion of the cable wound in by, or off from, the winding drum.
The measurement method may further comprise pressing the cable against the measurement drum with a spring-driven press roller so as to avoid slip between the cable and the measurement drum.
The measurement method may further comprise guiding the cable with a first cable guide to get in contact with the measurement drum in a given position in the axial direction of the measurement drum when the cable is wound in by the winding drum.
The measurement method may further comprise guiding the cable with a second cable guide to get in contact with the measurement drum in a given position in the axial direction of the measurement drum when the cable is wound off from the winding drum.
The measurement drum may comprise a circumferential slot for the cable so as to ensure that the cable contacts the measurement drum in a given position in the axial direction of the measurement drum.
The cable can be arranged to wind one or two circles around the measurement drum without any gap in between and without any overlap to each other so as to avoid any slip between the cable and the measurement drum. The above-mentioned circumferential slot can be designed to allow the cable to wind the one or two circles around the measurement drum. Overlaps and axially directed gaps between the circles of the cable can be avoided with a suitable design of the slot and/or with the aid of the above-mentioned first and second cable guides and the spring-driven press roller which control how the cable contacts the measurement drum. Furthermore, there can be more than one spring-driven press roller for pressing the cable against the measurement drum.
Figure 4 shows a flowchart of a method according to an exemplifying and nonlimiting embodiment of the invention for generating deviation data indicative of inaccuracy in kinematic parameters of a robot. The robot comprises an end-effector whose estimate position and orientation in a workspace coordinate system fixed with respect to a base frame of the robot are determined by joint variables related to the robot and by the forward-kinematics based on the kinematic parameters. The method comprises the following actions: - action 401: measuring a plurality of distances each being a distance from one of base points in fixed positions with respect to the base frame to one of end-effector points in fixed positions with respect to the end-effector, and - action 402: computing position and orientation of the end-effector in the workspace coordinate system on the basis of the plurality of the distances, and - action 403: forming data indicative of a deviation between the computed position and orientation and the estimate position and orientation so as to generate the deviation data.
Each of the distances is measured with the above-described measurement method 301-302 so that the cable of each of the cable-based distance detectors extends though one of the base points to one of the end-effector points and the encoder signal produced by the cable-based distance detector under consideration is indicative of the distance from the base point under consideration to the end-effector point under consideration.
In a method according to an exemplifying and non-limiting embodiment of the invention, the cables related to first, second, and third ones of the base points are connected to a first one of the end-effector points, the cables related to fourth and fifth ones of the base points are connected to a second one of the end-effector points, and the cable related to a sixth one of the base points is connected to a third one of the end-effector points so as to constitute a 3-2-1 Stewart configuration for the position and orientation detection.
In a method according to another exemplifying and non-limiting embodiment of the invention, the cables related to first and second ones of the base points are connected to a first one of the end-effector points, the cables related to third and fourth ones of the base points are connected to a second one of the end-effector points, and the cables related to fifth and sixth ones of the base points are connected to a third one of the end-effector points so as to constitute a 2-2-2 configuration for the position and orientation detection.
In a method according to an exemplifying and non-limiting embodiment of the invention, the number of the base points is greater than six and the method comprises computing a set of preliminary values for the position and orientation of the end-effector on the basis of encoder signals related to mutually different six-member subsets of the base points and computing the position and orientation of the end-effector on the basis of the preliminary values.
The position and orientation of the end-effector can be computed on the basis of the preliminary values for example by computing numerical values defining the position and orientation of the end-effector as weighted averages of mutually corresponding numerical values related to the mutually different six-member subsets. The weight for a given one of the six-member subsets can be set for example on the basis of a minimum change of the encoder signals related to the six-member subset under consideration and to movement of the end-effector from a previous position and orientation to the position and orientation being computed so that a smaller minimum change of the encoder signals corresponds to a smaller weight than a greater minimum change of the encoder signals corresponds to.
In a method according to an exemplifying and non-limiting embodiment of the invention where the number of the base points is greater than six, six ones of the base points are selected so that such one or more of the base points, relating to which there are smallest changes of the encoder signals when the end-effector is moved from a previous position and orientation to the position and orientation being computed, are left out from the selected six ones of the base points. The method further comprises computing the position and orientation of the end-effector on the basis of the encoder signals related to the selected six ones of the base points.
A method according to an exemplifying and non-limiting embodiment of the invention comprises correcting the encoder signals on the basis of the thermal expansion coefficient of the material of the cables and a measured change of temperature.
A method according to an exemplifying and non-limiting embodiment of the invention comprises correcting the encoder signals on the basis of elasticity of the cables and estimates of tensions acting on the cables.
A calibration method according to an exemplifying and non-limiting embodiment of the invention comprises: - the above-described sequence of actions 401-403 for generating the deviation data, and - action 404: updating the kinematic parameters of the robot on the basis of the deviation data.
In a calibration method according to an exemplifying and non-limiting embodiment of the invention, the sequence of the actions 401-403 for generating the deviation data is carried out at least two times, and more preferably at least three times, so that the position of the end-effector is different at each time. The kinematic parameters are updated on the basis of data containing the deviation data obtained for each of the different positions of the end-effector.
The specific examples provided in the description given above should not be construed as limiting the scope and/or the applicability of the appended claims.
Claims (27)
Priority Applications (4)
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FI20145378A FI125511B (en) | 2014-04-23 | 2014-04-23 | Wired distance detector and system based on it to generate robot calibration data |
EP15721756.3A EP3134233A1 (en) | 2014-04-23 | 2015-04-21 | A cable-based distance detector and a system based on it for generating robot calibration data |
CN201580021044.5A CN106232303A (en) | 2014-04-23 | 2015-04-21 | Distance detector based on cable and generate the system of robot calibration data based on it |
PCT/FI2015/050272 WO2015162335A1 (en) | 2014-04-23 | 2015-04-21 | A cable-based distance detector and a system based on it for generating robot calibration data |
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FI20145378 | 2014-04-23 | ||
FI20145378A FI125511B (en) | 2014-04-23 | 2014-04-23 | Wired distance detector and system based on it to generate robot calibration data |
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FI20145378A FI20145378A (en) | 2015-10-24 |
FI125511B true FI125511B (en) | 2015-11-13 |
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EP (1) | EP3134233A1 (en) |
CN (1) | CN106232303A (en) |
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CN108225230B (en) * | 2017-12-27 | 2023-10-20 | 广州充圆精密光电仪器有限公司 | Portable three-coordinate measuring machine |
WO2020129206A1 (en) * | 2018-12-20 | 2020-06-25 | 三菱電機株式会社 | Cable length calculation system, controller, and cable length calculation method |
CN109823724A (en) * | 2019-01-30 | 2019-05-31 | 郑州德凯科技有限公司 | A kind of automatic packaging device based on intelligent dustbin |
CN111660295B (en) * | 2020-05-28 | 2023-01-03 | 中国科学院宁波材料技术与工程研究所 | Industrial robot absolute precision calibration system and calibration method |
CN116021528B (en) * | 2023-03-30 | 2023-06-02 | 清能精控机器人技术(佛山)有限公司 | Robot turntable device correction method |
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US20090009360A1 (en) * | 2007-07-02 | 2009-01-08 | Flannigan William C | System and method for measuring and recording distance |
US7665223B2 (en) * | 2008-06-20 | 2010-02-23 | Delta Ii, I.P., Trust | Measuring device with extensible cord and method |
DK2466252T3 (en) * | 2010-12-20 | 2013-07-29 | Christopher Bauder | Games for providing a predetermined length of unrolled cable |
CN202991014U (en) * | 2012-12-26 | 2013-06-12 | 克拉玛依广陆有限责任公司 | Well depth winch encoder |
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CN106232303A (en) | 2016-12-14 |
FI20145378A (en) | 2015-10-24 |
EP3134233A1 (en) | 2017-03-01 |
WO2015162335A1 (en) | 2015-10-29 |
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