CN103279037A  Method for performing force followup motion control on robot on the basis of sixdimensional force/torque transducer  Google Patents
Method for performing force followup motion control on robot on the basis of sixdimensional force/torque transducer Download PDFInfo
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 CN103279037A CN103279037A CN2013102002469A CN201310200246A CN103279037A CN 103279037 A CN103279037 A CN 103279037A CN 2013102002469 A CN2013102002469 A CN 2013102002469A CN 201310200246 A CN201310200246 A CN 201310200246A CN 103279037 A CN103279037 A CN 103279037A
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 power
 delta
 sensor
 formula
 force
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 230000005484 gravity Effects 0.000 claims abstract description 13
 230000000875 corresponding Effects 0.000 claims abstract description 4
 230000001276 controlling effect Effects 0.000 claims description 6
 239000011159 matrix material Substances 0.000 claims description 3
 238000005259 measurement Methods 0.000 claims description 3
 230000000694 effects Effects 0.000 abstract description 4
 230000036544 posture Effects 0.000 abstract 2
 238000010586 diagram Methods 0.000 description 1
 230000004048 modification Effects 0.000 description 1
 238000006011 modification reaction Methods 0.000 description 1
Abstract
The invention discloses a method for performing force followup motion control on a robot on the basis of a sixdimensional force/torque transducer. When the goals, such as teaching and the like, are achieved by using the robot, a very good effect can be obtained by the method. The method for performing the force followup motion control on the robot on the basis of the sixdimensional force/torque transducer disclosed by the invention mainly comprises four important steps: firstly, calibrating a zero value of the force/torque transducer by utilizing a simpler method, secondly, performing compensation on influences caused to the zero value of the force/torque transducer due to the gravity of the force/torque transducer and the gravity of tools installed on the force/torque transducer under different postures of the force/torque transducer by utilizing a specific method, thirdly, setting a stable interval of the force/torque transducer under the corresponding posture, and fourthly, performing the force followup motion control on the robot by utilizing the force/torque value of the force/torque transducer.
Description
Technical field
The present invention relates to robot control field, relate in particular to the Robot Force accompany movement control method based on sextuple power/torque sensor.
Background technology
Regular meeting uses power/torque sensor in industrial circle; power/torque sensor commonly used attitude is in use fixed; but if power/torque sensor operates in the occasion that attitude can change; because sensor and the instrument of installing in the above are subjected to gravity effect; the zero position of sensor (output valve of sensor when sensor does not apply external force to it under this attitude) can change, and therefore the effect to its compensation directly has influence on actual performance.For this change is compensated, need use special method.Aspect the demarcation of sextuple power/torque sensor, those skilled in the art have proposed a kind of method that the measure linear degree of sextuple power/torque sensor under a certain attitude demarcated, but they are in the application facet more complicated.
Summary of the invention
The objective of the invention is to overcome the shortcoming and defect of abovementioned prior art, the Robot Force accompany movement control method based on sextuple power/torque sensor is provided, realize the power accompany movement of robot is controlled by force compensating.
The present invention is achieved through the following technical solutions:
Robot Force accompany movement control method based on sextuple power/torque sensor comprises the steps:
Step (1): also utilize following formula that power and the moment numerical value of power/torque sensor are compensated by the current attitude of feedback force/torque sensor:
In the formula, r
_{31}, r
_{32}, r
_{33}Respectively from the current attitude of power sensor
$T=\left[\begin{array}{ccc}{r}_{11}& {r}_{12}& {r}_{13}\\ {r}_{21}& {r}_{22}& {r}_{23}\\ {r}_{31}& {r}_{32}& {r}_{33}\end{array}\right]$ The middle acquisition;
Step (2): up as initial position 1, the data that record current power sensor are F with power sensor x axle in elder generation
_{X1}, F
_{Y1}, F
_{Z1}, M
_{X1}, M
_{Y1}, M
_{Z1}Be rotated counterclockwise 90 ° around the z axle and obtain position 2 on initial position 1 basis, the variable that records current power sensor is F
_{X2}, F
_{Y2}, F
_{Z2}, M
_{X2}, M
_{Y2}, M
_{Z2}Be rotated counterclockwise 90 ° around the z axle and obtain position 3 on 2 bases, position, the variable that records current power sensor is F
_{X3}, F
_{Y3}, F
_{Z3}, M
_{X3}, M
_{Y3}, M
_{Z3}Be rotated counterclockwise 90 ° around the z axle and obtain position 4 on 3 bases, position, the variable that records current power sensor is F
_{X4}, F
_{Y4}, F
_{Z4}, M
_{X4}, M
_{Y4}, M
_{Z4}Be rotated counterclockwise 90 ° around the y axle and obtain position 5 on initial position 1 basis, the variable that records current power sensor is F
_{X5}, F
_{Y5}, F
_{Z5}, M
_{X5}, M
_{Y5}, M
_{Z5}Turn clockwise 90 ° around the y axle on initial position 1 basis and obtain position 6, the variable that records current power sensor is F
_{X6}, F
_{Y6}, F
_{Z6}, M
_{X6}, M
_{Y6}, M
_{Z6}
Obtain corresponding initial value by following formula:
After calculating initial value, calculate the gravity value that xaxis, yaxis and zaxis record respectively:
The deviation that calculates between each axis linear degree of sensor according to this gravity value concerns
With G
_{z}Be gravity datum, i.e. G=G
_{z}
According to the attitude of current power/torque sensor, the zero value F that utilizes the formula in the step (1) to calculate the current attitude of power/torque sensor
_{Xc}, F
_{Yc}, F
_{Zc}, M
_{Xc}, M
_{Yc}, M
_{Zc}, by above formula, the basic parameter of power/torque sensor is demarcated;
Step (3): utilize formula in the step (1) to obtain the zero value of 6 measured in the step (2) positions respectively, and compare with measured value, calculate the error maximum value of each measuring amount this moment by following formula:
F in the formula
_{Ni}, M
_{Ni}The amount that the expression sensor measurement is returned, F
_{Nc}, M
_{Nc}The compensation rate that the expression respective channel is calculated; The maximum value of each channel error is designated as η respectively
_{Fx}, η
_{Fy}, η
_{Fz}, η
_{Mx}, η
_{My}, η
_{Mz}
Get stability factor ε
_{Fx}, ε
_{Fy}, ε
_{Fz}(all greater than 1, suggestion selects 1.5～2.0) makes the current zerobit stable region of power/torque sensor be:
Then the power end zerobit stable region of power/torque sensor is respectively
The zerobit stable region of moment end is respectively [M
_{Xc}δ
_{Mx}, M
_{Xc}+ δ
_{Mx}],
[M
_{Zc}δ
_{Mz}, M
_{Zc}+ δ
_{Mz}].
Obtain the power under the current attitude of power/torque sensor and moment numerical stability interval are arranged by said method;
Step (4): obtaining the controlling party supernatural power end that power follows according to step (1), (2) and (3) design is:
F in the formula
_{m}Be illustrated in the measured value after the power that applies on certain force direction, F
_{c}Be illustrated on this direction the compensation rate of power, δ represents the stable region on this direction;
In like manner, the control method of moment end is:
M in the formula
_{m}Be illustrated in the measured value after the power that applies on certain moment direction, M
_{c}Be illustrated on this direction the compensation rate of power, δ represents the stable region on this direction;
Controlling value will feed back to carries out power and follows control in the robot, and is undertaken by following formula:
Wherein J is the current Jacobi matrix of robot, and u is the control input of power and moment, is expressed as
Speed for each joint of robot, after calculating the speed in each joint, utilize this speed that each joint of robot is controlled, make it do the power accompany movement, whenever robot pose changes, all need to use the method in the step (2) that the zero value of sensor is demarcated again.
The present invention can draw the higher compensation effect of precision for power/torque sensor by simple several steps; Provide because various measuring error and data are disturbed the solution of the zerobit change that causes.
Description of drawings
Fig. 1 represents intention for power control function of the present invention.
Fig. 2 is Torque Control function representation intention of the present invention.
The state of initial 6 positions that Fig. 3 will measure for power/torque sensor of the present invention (gravity is all down) changes block diagram, wherein:
Table 1(initial position 1) position shown in be x axle with the power sensor up as initial position, the variable that records current power sensor is F
_{X1}, F
_{Y1}, F
_{Z1}, M
_{X1}, M
_{Y1}, M
_{Z1}
Table 2(position 2) position shown in is that the described position of table 1 is rotated counterclockwise 90 ° of resulting positions around the z axle, and the variable that records current power sensor is F
_{X2}, F
_{Y2}, F
_{Z2}, M
_{X2}, M
_{Y2}, M
_{Z2}
Table 3(position 3) position shown in is that the described position of table 2 is rotated counterclockwise 90 ° of resulting positions around the z axle, and the variable that records current power sensor is F
_{X3}, F
_{Y3}, F
_{Z3}, M
_{X3}, M
_{Y3}, M
_{Z3}
Table 4(position 4) position shown in is that the described position of table 3 is rotated counterclockwise 90 ° of resulting positions around the z axle, and the variable that records current power sensor is F
_{X4}, F
_{Y4}, F
_{Z4}, M
_{X4}, M
_{Y4}, M
_{Z4}
Table 5(position 5) position shown in is that the described position of table 1 is rotated counterclockwise 90 ° of resulting positions around the y axle, and the variable that records current power sensor is F
_{X5}, F
_{Y5}, F
_{Z5}, M
_{X5}, M
_{Y5}, M
_{Z5}
Table 6(position 6) position shown in is the described position of table 1 around the y axle 90 ° of resulting positions that turn clockwise, and the variable that records current power sensor is F
_{X6}, F
_{Y6}, F
_{Z6}, M
_{X6}, M
_{Y6}, M
_{Z6}
Embodiment
Below in conjunction with specific embodiment the present invention is done further concrete detailed description the in detail.
Embodiment
As Fig. 1, Fig. 2, shown in Figure 3.The present invention is based on the Robot Force accompany movement control method of sextuple power/torque sensor, it is characterized in that comprising the steps:
Step (1): also utilize following formula that power and the moment numerical value of power/torque sensor are compensated by the current attitude of feedback force/torque sensor:
In the formula, r
_{31}, r
_{32}, r
_{33}Respectively from the current attitude of power sensor
$T=\left[\begin{array}{ccc}{r}_{11}& {r}_{12}& {r}_{13}\\ {r}_{21}& {r}_{22}& {r}_{23}\\ {r}_{31}& {r}_{32}& {r}_{33}\end{array}\right]$ The middle acquisition;
Step (2): up as initial position 1, the data that record current power sensor are F with power sensor x axle in elder generation
_{X1}, F
_{Y1}, F
_{Z1}, M
_{X1}, M
_{Y1}, M
_{Z1}Be rotated counterclockwise 90 ° around the z axle and obtain position 2 on initial position 1 basis, the variable that records current power sensor is F
_{X2}, F
_{Y2}, F
_{Z2}, M
_{X2}, M
_{Y2}, M
_{Z2}Be rotated counterclockwise 90 ° around the z axle and obtain position 3 on 2 bases, position, the variable that records current power sensor is F
_{X3}, F
_{Y3}, F
_{Z3}, M
_{X3}, M
_{Y3}, M
_{Z3}Be rotated counterclockwise 90 ° around the z axle and obtain position 4 on 3 bases, position, the variable that records current power sensor is F
_{X4}, F
_{Y4}, F
_{Z4}, M
_{X4}, M
_{Y4}, M
_{Z4}Be rotated counterclockwise 90 ° around the y axle and obtain position 5 on initial position 1 basis, the variable that records current power sensor is F
_{X5}, F
_{Y5}, F
_{Z5}, M
_{X5}, M
_{Y5}, M
_{Z5}Turn clockwise 90 ° around the y axle on initial position 1 basis and obtain position 6, the variable that records current power sensor is F
_{X6}, F
_{Y6}, F
_{Z6}, M
_{X6}, M
_{Y6}, M
_{Z6}
Obtain corresponding initial value by following formula:
After calculating initial value, calculate the gravity value that xaxis, yaxis and zaxis record respectively:
The deviation that calculates between each axis linear degree of sensor according to this gravity value concerns
With G
_{z}Be gravity datum, i.e. G=G
_{z}
According to the attitude of current power/torque sensor, the zero value F that utilizes the formula in the step (1) to calculate the current attitude of power/torque sensor
_{Xc}, F
_{Yc}, F
_{Zc}, M
_{Xc}, M
_{Yc}, M
_{Zc}, by above formula, the basic parameter of power/torque sensor is demarcated;
Step (3): utilize formula in the step (1) to obtain the zero value of 6 measured in the step (2) positions respectively, and compare with measured value, calculate the error maximum value of each measuring amount this moment by following formula:
F in the formula
_{Ni}, M
_{Ni}The amount that the expression sensor measurement is returned, F
_{Nc}, M
_{Nc}The compensation rate that the expression respective channel is calculated; The maximum value of each channel error is designated as η respectively
_{Fx}, η
_{Fy}, η
_{Fz}, η
_{Mx}, η
_{My}, η
_{Mz}
Get stability factor ε
_{Fx}, ε
_{Fy}, ε
_{Fz}(all greater than 1, suggestion selects 1.5～2.0) makes the current zerobit stable region of power/torque sensor be:
Then the power end zerobit stable region of power/torque sensor is respectively
The zerobit stable region of moment end is respectively [M
_{Xc}δ
_{Mx}, M
_{Xc}+ δ
_{Mx}],
[M
_{Zc}δ
_{Mz}, M
_{Zc}+ δ
_{Mz}].
Obtain the power under the current attitude of power/torque sensor and moment numerical stability interval are arranged by said method;
Step (4): obtaining the controlling party supernatural power end that power follows according to step (1), (2) and (3) design is:
F in the formula
_{m}Be illustrated in the measured value after the power that applies on certain force direction, F
_{c}Be illustrated on this direction the compensation rate of power, δ represents the stable region on this direction;
In like manner, the control method of moment end is:
M in the formula
_{m}Be illustrated in the measured value after the power that applies on certain moment direction, M
_{c}Be illustrated on this direction the compensation rate of power, δ represents the stable region on this direction;
Controlling value will feed back to carries out power and follows control in the robot, and is undertaken by following formula:
Wherein J is the current Jacobi matrix of robot, and u is the control input of power and moment, is expressed as
Speed for each joint of robot, after calculating the speed in each joint, utilize this speed that each joint of robot is controlled, make it do the power accompany movement, whenever robot pose changes, all need to use the method in the step (2) that the zero value of sensor is demarcated again.
As mentioned above, just can realize the present invention preferably.
Embodiments of the present invention are not restricted to the described embodiments; other are any not to deviate from change, the modification done under spiritual essence of the present invention and the principle, substitute, combination, simplify; all should be the substitute mode of equivalence, be included within protection scope of the present invention.
Claims (1)
1. based on the Robot Force accompany movement control method of sextuple power/torque sensor, it is characterized in that comprising the steps:
(1) also utilize following formula that power and the moment numerical value of power/torque sensor are compensated by the current attitude of feedback force/torque sensor:
In the formula, r
_{31}, r
_{32}, r
_{33}Respectively from the current attitude of power sensor
$T=\left[\begin{array}{ccc}{r}_{11}& {r}_{12}& {r}_{13}\\ {r}_{21}& {r}_{22}& {r}_{23}\\ {r}_{31}& {r}_{32}& {r}_{33}\end{array}\right]$ The middle acquisition;
(2) earlier with power sensor x axle up as initial position 1, the data that record current power sensor are F
_{X1}, F
_{Y1}, F
_{Z1}, M
_{X1}, M
_{Y1}, M
_{Z1}Be rotated counterclockwise 90 ° around the z axle and obtain position 2 on initial position 1 basis, the variable that records current power sensor is F
_{X2}, F
_{Y2}, F
_{Z2}, M
_{X2}, M
_{Y2}, M
_{Z2}Be rotated counterclockwise 90 ° around the z axle and obtain position 3 on initial position 2 bases, the variable that records current power sensor is F
_{X3}, F
_{Y3}, F
_{Z3}, M
_{X3}, M
_{Y3}, M
_{Z3}Be rotated counterclockwise 90 ° around the z axle and obtain position 4 on initial position 3 bases, the variable that records current power sensor is F
_{X4}, F
_{Y4}, F
_{Z4}, M
_{X4}, M
_{Y4}, M
_{Z4}Be rotated counterclockwise 90 ° around the y axle and obtain position 5 on initial position 1 basis, the variable that records current power sensor is F
_{X5}, F
_{Y5}, F
_{Z5}, M
_{X5}, M
_{Y5}, M
_{Z5}Turn clockwise 90 ° around the y axle on initial position 1 basis and obtain position 6, the variable that records current power sensor is F
_{X6}, F
_{Y6}, F
_{Z6}, M
_{X6}, M
_{Y6}, M
_{Z6}
Obtain corresponding initial value by following formula:
After calculating initial value, calculate the gravity value that xaxis, yaxis and zaxis record respectively:
The deviation that calculates between each axis linear degree of sensor according to this gravity value concerns
With G
_{z}Be gravity datum, i.e. G=G
_{z}
According to the attitude of current power/torque sensor, the zero value F that utilizes the formula in the step (1) to calculate the current attitude of power/torque sensor
_{Xc}, F
_{Yc}, F
_{Zc}, M
_{Xc}, M
_{Yc}, M
_{Zc}, by above formula, the basic parameter of power/torque sensor is demarcated;
(3) utilize formula in the step (1) to obtain the zero value of 6 measured in the step (2) positions respectively, and compare with measured value, calculate the error maximum value of each measuring amount this moment by following formula:
F in the formula
_{Ni}, M
_{Ni}The amount that the expression sensor measurement is returned, F
_{Nc}, M
_{Nc}The compensation rate that the expression respective channel is calculated; The maximum value of each channel error is designated as η respectively
_{Fx}, η
_{Fy}, η
_{Fz}, η
_{Mx}, η
_{My}, η
_{Mz}
Get stability factor ε
_{Fx}, ε
_{Fy}, ε
_{Fz}(all greater than 1, suggestion selects 1.5～2.0) makes the current zerobit stable region of power/torque sensor be:
Then the power end zerobit stable region of power/torque sensor is respectively
The zerobit stable region of moment end is respectively [M
_{Xc}δ
_{Mx}, M
_{Xc}+ δ
_{Mx}],
[M
_{Zc}δ
_{Mz}, M
_{Zc}+ δ
_{Mz}]
Obtain the power under the current attitude of power/torque sensor and moment numerical stability interval are arranged by said method;
(4) obtaining the controlling party supernatural power end that power follows according to step (1), (2) and (3) design is:
F in the formula
_{m}Be illustrated in the measured value after the power that applies on certain force direction, F
_{c}Be illustrated on this direction the compensation rate of power, δ represents the stable region on this direction;
In like manner, the control method of moment end is:
M in the formula
_{m}Be illustrated in the measured value after the power that applies on certain moment direction, M
_{c}Be illustrated on this direction the compensation rate of power, δ represents the stable region on this direction;
Controlling value will feed back to carries out power and follows control in the robot, and is undertaken by following formula:
Wherein J is the current Jacobi matrix of robot, and u is the control input of power and moment, is expressed as
Speed for each joint of robot, after calculating the speed in each joint, utilize this speed that each joint of robot is controlled, make it do the power accompany movement, whenever robot pose changes, all need to use the method in the step (2) that the zero value of sensor is demarcated again.
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Cited By (7)
Publication number  Priority date  Publication date  Assignee  Title 

CN106647529A (en) *  20170118  20170510  北京工业大学  Sixaxis industrial robot track accurate trackingandcontrolling oriented intelligent teaching system 
CN106644259A (en) *  20161226  20170510  哈尔滨工业大学  Posture influenced compensation method for cantilever beam type sensor 
CN106742088A (en) *  20161116  20170531  南京航空航天大学  Passive type multidimensional force torque servo loading platform control system and its control method 
CN107028663A (en) *  20170418  20170811  中国科学院重庆绿色智能技术研究院  A kind of new masterslave mode operating robot control method 
CN107433590A (en) *  20170731  20171205  上海宇航系统工程研究所  Mechanical arm load quality and the gravitational compensation method of sensor fluctating online identification 
CN108284456A (en) *  20180131  20180717  哈尔滨工业大学  Gravitational compensation method in sensor load external force measurement based on dimensionality reduction parsing 
CN110244791A (en) *  20190711  20190917  北京理工大学  A kind of biped robot's foot power and moment followup control method 
Citations (6)
Publication number  Priority date  Publication date  Assignee  Title 

US5880956A (en) *  19940812  19990309  Minnesota Mining And Manufacturing Company  Leadthrough robot programming system 
CN101320251A (en) *  20080715  20081210  华南理工大学  Robot ambulation control method based on confirmation learning theory 
CN101865655A (en) *  20100526  20101020  哈尔滨工业大学  Sixdimensional position and orientation precision test method of space mechanical arm based on air flotation system 
CN102122172A (en) *  20101231  20110713  中国科学院计算技术研究所  Image pickup system and control method thereof for machine motion control 
CN102672719A (en) *  20120510  20120919  浙江大学  Dynamic stability control method for operation of humanoid robot arm 
CN103019096A (en) *  20121123  20130403  北京理工大学  Humanoid robot inverse dynamics controller based on acceleration optimization 

2013
 20130524 CN CN201310200246.9A patent/CN103279037B/en active IP Right Grant
Patent Citations (6)
Publication number  Priority date  Publication date  Assignee  Title 

US5880956A (en) *  19940812  19990309  Minnesota Mining And Manufacturing Company  Leadthrough robot programming system 
CN101320251A (en) *  20080715  20081210  华南理工大学  Robot ambulation control method based on confirmation learning theory 
CN101865655A (en) *  20100526  20101020  哈尔滨工业大学  Sixdimensional position and orientation precision test method of space mechanical arm based on air flotation system 
CN102122172A (en) *  20101231  20110713  中国科学院计算技术研究所  Image pickup system and control method thereof for machine motion control 
CN102672719A (en) *  20120510  20120919  浙江大学  Dynamic stability control method for operation of humanoid robot arm 
CN103019096A (en) *  20121123  20130403  北京理工大学  Humanoid robot inverse dynamics controller based on acceleration optimization 
Cited By (11)
Publication number  Priority date  Publication date  Assignee  Title 

CN106742088A (en) *  20161116  20170531  南京航空航天大学  Passive type multidimensional force torque servo loading platform control system and its control method 
CN106742088B (en) *  20161116  20200221  南京航空航天大学  Passive multidimensional forcemoment servo loading platform control system and control method thereof 
CN106644259A (en) *  20161226  20170510  哈尔滨工业大学  Posture influenced compensation method for cantilever beam type sensor 
CN106647529A (en) *  20170118  20170510  北京工业大学  Sixaxis industrial robot track accurate trackingandcontrolling oriented intelligent teaching system 
CN107028663A (en) *  20170418  20170811  中国科学院重庆绿色智能技术研究院  A kind of new masterslave mode operating robot control method 
CN107028663B (en) *  20170418  20190412  中国科学院重庆绿色智能技术研究院  A kind of masterslave mode operating robot control method 
CN107433590A (en) *  20170731  20171205  上海宇航系统工程研究所  Mechanical arm load quality and the gravitational compensation method of sensor fluctating online identification 
CN107433590B (en) *  20170731  20200818  上海宇航系统工程研究所  Gravity compensation method based on mechanical arm load mass and sensor null shift online identification 
CN108284456A (en) *  20180131  20180717  哈尔滨工业大学  Gravitational compensation method in sensor load external force measurement based on dimensionality reduction parsing 
CN110244791A (en) *  20190711  20190917  北京理工大学  A kind of biped robot's foot power and moment followup control method 
CN110244791B (en) *  20190711  20200515  北京理工大学  Foot force and moment following control method for biped robot 
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