CN107153356A - Decoupling control method between a kind of hydraulic-driven joint type legged type robot joint - Google Patents

Decoupling control method between a kind of hydraulic-driven joint type legged type robot joint Download PDF

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CN107153356A
CN107153356A CN201710407284.XA CN201710407284A CN107153356A CN 107153356 A CN107153356 A CN 107153356A CN 201710407284 A CN201710407284 A CN 201710407284A CN 107153356 A CN107153356 A CN 107153356A
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mrow
msub
joint
hydraulic
robot
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高炳微
王思凯
任东
任东一
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Harbin University of Science and Technology
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    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B13/00Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion
    • G05B13/02Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric
    • G05B13/04Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric involving the use of models or simulators
    • G05B13/042Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric involving the use of models or simulators in which a parameter or coefficient is automatically adjusted to optimise the performance

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Abstract

Decoupling control method between a kind of hydraulic-driven joint type legged type robot joint, machine, liquid coupled in common are studied as the coupling behavior of hydraulic-driven joint type legged type robot, the interarticular coupling model of robot leg is set up;The degree of coupling of each branch road in leg joint is calculated, the interarticular coupled characteristic of hydraulic-driven joint type legged type robot is studied;According to the interarticular coupled relation in hydraulic-driven joint type legged type robot leg, the mechanism dynamic bonding force of each movement branched chain of robot is converted to the hydraulic servo driving system for decomposing each joint by Jacobian matrix, and as the perturbed force of hydraulic system, then uneoupled control is carried out to electrohydraulic servo system again, to eliminate the crosslinking coupling influence of whole robot system.The present invention is studied machine, liquid coupled in common as robot coupling behavior, design Decoupling Control, the control accuracy of robot is improved, holding system has good control performance, promotes the lifting of hydraulic-driven joint type legged type robot dynamic property and automatization level.

Description

Decoupling control method between a kind of hydraulic-driven joint type legged type robot joint
Technical field
The present invention relates to hydraulic-driven prosthetic robot control technology field, more particularly to a kind of hydraulic-driven articulated type Decoupling control method between joint of robot.
Background technology
Hydraulic-driven joint type every leg of legged type robot is a multivariant serial mechanism of multi-joint, leg system With non-linear and strong coupling, the multifreedom motion coupling being not only present between each movement branched chain of leg mechanism is coupled, also It is present in the hydraulic drive mechanism in each joint, therefore, the coupling between each joint of hydraulic pressure quadruped robot is machine, liquid collective effect Result.Coupling between this joint produced jointly by mechanical structure and the multiple variables of hydraulic-driven so that system Control becomes sufficiently complex.During robot actual motion, want to be controlled one of joint, it is necessary to by leg Other all joints in portion are all locked, once these joints are unlocked, mutual infection is there is between each joint, because This, in robot normal motion, each joint motion can by other joints coupling influence.This gives hydraulic pressure Coordinated movement of various economic factors control brings very big difficulty between quadruped robot multi-joint, thus, between reduction hydraulic pressure quadruped robot joint Mutual infection, carrying out uneoupled control to robot each joint becomes very necessary.
The content of the invention
Decoupling control method between a kind of hydraulic-driven joint type legged type robot joint
Decoupling control method is realized according to the following steps between hydraulic-driven joint type legged type robot joint:
Step A, set up between joint and be crosslinked coupling model:
The application is studied the coupling behavior of machine, liquid coupled in common as hydraulic-driven joint type legged type robot, Based on the leg mechanical structure to hydraulic-driven joint type legged type robot and the analysis of hydraulic servo driving system, according to mechanism Dynamics and hydraulic principle, set up the kinetic model and leg hydraulic servo driving system of leg mechanism of robot respectively Model, finally set up the interarticular coupling model of hydraulic-driven joint type legged type robot, be that the uneoupled control of robot is carried For foundation.
Because in motion process, the motion in each joint of hydraulic-driven joint type legged type robot belongs to low-speed motion, Therefore, interarticular motion is influenceed smaller by coriolis force and centripetal force, can be neglected, but influenceed by inertia force and gravity It is larger, for the ease of analyzing and solving problem, it is necessary to catch the principal contradiction of problem, therefore only consider the shadow of inertia force and gravity Ring, ignore the influence of coriolis force and centripetal force, so, hydraulic-driven joint type legged type robot leg power model be changed into as Lower form:
Then, the kinetics relation exerted oneself between hydraulic cylinder displacement in any two joint is as follows:
In formula,For inertial matrix,For gravity.
Laplace transformation is carried out to above formula, coupled relation formula can be obtained as follows:
All there is obvious coupling between hydraulic-driven joint type legged type robot any two joint it can be seen from formula Close.
Then, kinetic model is brought into hydraulic system model, the model that just can obtain whole control system is as follows:
In formula, the elements in a main diagonal product represents the transmission function of single joint respectively, rather than diagonal term is joint Between coupling terms.
Step B, the degree of coupling for calculating each branch road in leg joint:
It is provided with n input, the n coupling object exported:
Y (s)=C (s) R (s)
In formula:
Y (s)=[y1(s),y2(s)…yn(s)]T
R (s)=[r1(s),r2(s)…rn(s)]T
Wherein, R (s) is the input of object, and Y (s) is the output of object, and C (s) is coupling object matrix.
Object C (s) is divided into four parts, obtained:
In formula:
Wherein, C11(s) it is [y1(s) r1(s) controlling brancher].
If K is C (s) static gain matrix, i.e.,:
Then [y1(s) r1(s)] degree of coupling of branch road is defined as:
Similarly, [yi(s) rj(s)] degree of coupling of branch road is defined as:
In formula,K is scratched for the i-th row vector of matrix KijFormer tactic row vector is pressed afterwards;For matrix K Jth column vector scratches KijFormer tactic column vector is pressed afterwards;KPFor matrix K scratch after the i-th row and jth row remaining element by Former tactic matrix.
The summation of all pairing coupling factor of branch is the degree of coupling of system, then the degree of coupling of system is:
η=Σ Pij
Asked for the degree of coupling of each branch road, it is possible to understand the coupled characteristic of system, judged according to its coupled characteristic be Whether system needs to be decoupled.The coupled characteristic that the degree of coupling is reflected can be summarized as follows:
Work as PijWhen=0, no coupling, it is not necessary to use decoupling measure;
Work as PijDuring > 0, there is coupling, coupling reduces the control action of the passage, it is necessary at this moment to take decoupling measure 's;
Work as PijDuring=∞, superpower coupling, system is not normally functioning.
Decoupling control method between step C, design hydraulic-driven joint type legged type robot joint:
Under motion state, the coupling between each joint of hydraulic-driven joint type legged type robot is actually that machine, liquid are common The result of same-action, according to the coupling model set up, the application is converted by Jacobian matrix, by the mechanism of robot system Dynamics Coupling power decomposes each joint fluid cylinder pressure, by the Dynamics Coupling masterpiece of mechanism be hydraulic system outer perturbed force, so Uneoupled control is carried out to electrohydraulic servo system again afterwards, to reduce the crosslinking coupling influence of whole robot system.
There is the kinetic model of coupling according to hydraulic-driven joint type legged type robot leg, will be main in M (y), G (y) Cornerwise non-coupled item removes, then can obtain corresponding bonding force and be:
In formula,For inertial matrix,For gravity.
FdAs bonding force decomposes the perturbed force in each fluid power system.
So converted by Jacobian matrix, regard the mechanism dynamic bonding force of each movement branched chain of robot as outer interference Power is transformed into each joint fluid cylinder pressure, and control variable is transformed into joint space from working space, then hydraulic system carried out again Uneoupled control, to realize the decoupling of whole robot system.
Invention effect:
The present invention is directed to the crosslinking coupled problem existed between each joint in hydraulic-driven joint type legged type robot leg, will Machine, liquid coupled in common are studied as the coupling behavior of hydraulic-driven joint type legged type robot, are set up between joint of robot Coupling model;Calculate each branch road in leg joint the degree of coupling, illustrate hydraulic-driven joint type legged type robot uneoupled control must The property wanted;The interarticular coupled characteristic of hydraulic-driven joint type legged type robot is studied, the robot that changes commanders is become by Jacobian matrix The mechanism dynamic bonding force of system is controlled as the outer perturbed force of hydraulic system, realizes the sufficient formula of hydraulic-driven joint type Each interarticular uneoupled control of robot leg, improves the control accuracy of robot, and holding system has good control performance, Promote the lifting of hydraulic pressure quadruped robot dynamic property and automatization level.
Brief description of the drawings
Fig. 1 is thigh and calf articular couple relation principle block diagram;
Fig. 2 is Decoupling Control figure between each joint in hydraulic-driven joint type legged type robot leg;
Embodiment
With reference to embodiments and accompanying drawing is described in further detail to the present invention, but the present invention embodiment Not limited to this.
Embodiment:Uneoupled control problem between hydraulic-driven joint type legged type robot size leg joint
Step A, set up coupling model is crosslinked between thigh and calf joint:
The application is studied the coupling behavior of machine, liquid coupled in common as hydraulic-driven joint type legged type robot, Based on the leg mechanical structure to hydraulic-driven joint type legged type robot and the analysis of hydraulic servo driving system, according to mechanism Dynamics and hydraulic principle, set up the kinetic model and leg hydraulic servo driving system of leg mechanism of robot respectively Model, finally set up the coupling model in two joints of robot thigh and shank, foundation provided for the uneoupled control of robot, The theory diagram of its coupled relation is as shown in Figure 1.
In accompanying drawing 1, u2For thigh joint servo valve input voltage;u3For calf joint servo valve input voltage;y2For thigh The output displacement in joint;y3For the output displacement of calf joint.
From accompanying drawing 1 as can be seen that the output y of big leg joint2By the output y of calf joint3Influence, and calf joint Output y3It is similarly subjected to the output y of big leg joint2Influence, therefore, the big leg joint of hydraulic pressure quadruped robot and calf joint it Between there is obvious coupling, moreover, from coupled relation, coupling influence between two joint not only with mechanism dynamic parameter It is relevant, it is also relevant with hydraulic system parameters.
Step B, the degree of coupling for calculating each branch road in leg joint:
In order to understand the coupled characteristic of system, it is necessary to calculate the degree of coupling of each branch road, judged according to the size of the degree of coupling Whether system, which needs, is decoupled.
The coupling object that can draw hydraulic-driven joint type legged type robot leg thigh and calf according to step A is:
Then static gain matrix K is:
So, obtaining degree of coupling matrix P by calculating is:
From above-mentioned degree of coupling matrix, the robot leg system uses [y2(s) u2(s)]、[y3(s) u3 (s) matching method], the motion with actual robot thigh and calf is consistent, and the degree of coupling of system is η=P11+P22=1.28, coupling It is right larger, it is necessary to carry out uneoupled control, to improve the Control platform of system.
Decoupling control method between step C, design hydraulic-driven joint type legged type robot thigh and calf joint:
Under motion state, the coupling between hydraulic-driven joint type legged type robot thigh and shank be actually machine, The coefficient result of liquid, according to the coupling model set up, the mechanism for becoming robot system of changing commanders using Jacobian matrix is moved Coupling with Mechanics power decomposes each joint fluid cylinder pressure, and the Dynamics Coupling masterpiece of mechanism is come for the outer perturbed force of electrohydraulic servo system It is controlled, uneoupled control then is being carried out to electrohydraulic servo system, to realize the uneoupled control of whole robot system.It is controlled The principle of system is as shown in Figure 2.
According to the coupling model set up, the non-coupled item of leading diagonal in M (y), G (y) is removed, be can obtain corresponding Bonding force is:
In formula,For inertial matrix,For gravity.
FdAs bonding force decomposes the perturbed force in each fluid power system.
Therefore, the bonding force that can further obtain between robot thigh, shank is:
So converted by Jacobian matrix, regard the mechanism dynamic bonding force of each movement branched chain of robot as outer interference Power is transformed into each joint fluid cylinder pressure, and control variable is transformed into joint space from working space, then hydraulic system carried out again Uneoupled control, to realize the decoupling of whole robot system.

Claims (3)

1. decoupling control method between a kind of hydraulic-driven joint type legged type robot joint, it is characterised in that by machine, the common coupling of liquid Cooperate to be studied for the coupling behavior of hydraulic-driven joint type legged type robot, the coupling model set up between joint of robot;Meter The degree of coupling of each branch road in leg joint is calculated, the interarticular coupled characteristic of hydraulic-driven joint type legged type robot is studied;By refined The mechanism dynamic bonding force of robot system is controlled as the outer perturbed force of hydraulic system than matrixing, it is real The existing each interarticular uneoupled control in hydraulic-driven joint type legged type robot leg.
2. decoupling control method between a kind of hydraulic-driven joint type legged type robot joint according to claim 1, it is special Levy and be that coupling of the hydraulic-driven joint type legged type robot under motion state between each joint is actually that machine, liquid are made jointly Result;According to hydraulic servocontrol principle first set up valve core of servo valve displacement and hydraulic cylinder exert oneself between relation, then The kinetics relation set up using Lagrangian method between leg mechanism of robot driving moment and joint rotation angle, it is final to utilize The coupling model that space geometry relational theory is set up between joint of robot;
Coupling model between hydraulic-driven joint type legged type robot any two joint is as follows:
<mrow> <msub> <mi>k</mi> <mn>0</mn> </msub> <mi>J</mi> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mrow> <msub> <mi>u</mi> <mn>2</mn> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>u</mi> <mn>3</mn> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mrow> <msub> <mi>M</mi> <mn>21</mn> </msub> <msup> <mi>s</mi> <mn>3</mn> </msup> <mo>+</mo> <msub> <mi>BM</mi> <mn>21</mn> </msub> <msup> <mi>s</mi> <mn>2</mn> </msup> <mo>+</mo> <mrow> <mo>(</mo> <mrow> <msub> <mi>G</mi> <mn>21</mn> </msub> <mo>+</mo> <mi>E</mi> </mrow> <mo>)</mo> </mrow> <mi>s</mi> <mo>+</mo> <msub> <mi>BG</mi> <mn>21</mn> </msub> </mrow> </mtd> <mtd> <mrow> <mrow> <mo>(</mo> <mrow> <mn>1</mn> <mo>+</mo> <mi>B</mi> </mrow> <mo>)</mo> </mrow> <msub> <mi>M</mi> <mn>22</mn> </msub> <msup> <mi>s</mi> <mn>2</mn> </msup> <mo>+</mo> <mrow> <mo>(</mo> <mrow> <mn>1</mn> <mo>+</mo> <mi>B</mi> </mrow> <mo>)</mo> </mrow> <msub> <mi>G</mi> <mn>22</mn> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mrow> <mo>(</mo> <mrow> <mn>1</mn> <mo>+</mo> <mi>B</mi> </mrow> <mo>)</mo> </mrow> <msub> <mi>M</mi> <mn>31</mn> </msub> <msup> <mi>s</mi> <mn>2</mn> </msup> <mo>+</mo> <mrow> <mo>(</mo> <mrow> <mn>1</mn> <mo>+</mo> <mi>B</mi> </mrow> <mo>)</mo> </mrow> <msub> <mi>G</mi> <mn>31</mn> </msub> </mrow> </mtd> <mtd> <mrow> <msub> <mi>M</mi> <mn>32</mn> </msub> <msup> <mi>s</mi> <mn>3</mn> </msup> <mo>+</mo> <msub> <mi>BM</mi> <mn>32</mn> </msub> <msup> <mi>s</mi> <mn>2</mn> </msup> <mo>+</mo> <mrow> <mo>(</mo> <mrow> <msub> <mi>G</mi> <mn>32</mn> </msub> <mo>+</mo> <mi>E</mi> </mrow> <mo>)</mo> </mrow> <mi>s</mi> <mo>+</mo> <msub> <mi>BG</mi> <mn>32</mn> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mrow> <msub> <mi>y</mi> <mn>2</mn> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>y</mi> <mn>3</mn> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> </mfenced> </mrow>
In formula, the elements in a main diagonal product represents the transmission function of single joint respectively, rather than diagonal term is as interarticular Coupling terms.
3. decoupling control method between a kind of hydraulic-driven joint type legged type robot joint according to claim 1, it is special Levy and be to convert by Jacobian matrix, the mechanism dynamic bonding force of each movement branched chain of robot is converted as outer perturbed force To each joint fluid cylinder pressure, control variable is transformed into joint space from working space, decoupling control then is carried out to hydraulic system again System, to realize the decoupling of whole robot system;
According to the coupling model set up, the non-coupled item of leading diagonal in M (y), G (y) is removed, corresponding coupling is can obtain Power is as follows:
<mrow> <msub> <mi>F</mi> <mi>d</mi> </msub> <mo>=</mo> <msub> <mi>M</mi> <mi>d</mi> </msub> <mrow> <mo>(</mo> <mi>y</mi> <mo>)</mo> </mrow> <mover> <mi>y</mi> <mo>&amp;CenterDot;&amp;CenterDot;</mo> </mover> <mo>+</mo> <msub> <mi>G</mi> <mi>d</mi> </msub> <mrow> <mo>(</mo> <mi>y</mi> <mo>)</mo> </mrow> </mrow>
In formula,For inertial matrix,For gravity;
FdAs bonding force decomposes the perturbed force in each fluid power system.
CN201710407284.XA 2017-06-02 2017-06-02 Decoupling control method between a kind of hydraulic-driven joint type legged type robot joint Pending CN107153356A (en)

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Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20040217498A1 (en) * 2003-05-02 2004-11-04 Ondrus Daniel J. Method for robotically applying large volumes of structural foam within automotive applications
CN105538325A (en) * 2015-12-30 2016-05-04 哈尔滨理工大学 Decoupling control method of single leg joint of hydraulic four-leg robot

Patent Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20040217498A1 (en) * 2003-05-02 2004-11-04 Ondrus Daniel J. Method for robotically applying large volumes of structural foam within automotive applications
CN105538325A (en) * 2015-12-30 2016-05-04 哈尔滨理工大学 Decoupling control method of single leg joint of hydraulic four-leg robot

Non-Patent Citations (3)

* Cited by examiner, † Cited by third party
Title
吴若麟 等: "水压蛇形灭火机器人中部关节解耦特性分析", 《制造业自动化》 *
韩晓建 等: "液压四足机器人的实时分散解耦控制", 《计算机测量与控制》 *
高炳微: "液压四足机器人单腿关节解耦控制及力/位切换控制研究", 《哈尔滨理工大学博士论文》 *

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Application publication date: 20170912