Trajectory Tracking Algorithm for End of Manipulator Based on Zero Space Obstacle Avoidance
A trajectory tracking and manipulator technology, which is applied in manipulators, program-controlled manipulators, manufacturing tools, etc., can solve the problem of large end trajectory tracking errors, achieve good results, simple numerical calculations, and improve trajectory tracking accuracy.
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[0037] The implementation process of the whole invention is shown in figure 1 , the specific implementation details are as follows:
[0038] (1) Establish the positive kinematics equation of the redundant manipulator
[0039] The homogeneous transformation matrix of each link
[0040]
[0041] Among them, q i is the joint angle, ai-1 is the connecting rod length, α i-1 is the torsion angle, d i Offset for the connecting rod. figure 2 It is a 7-DOF manipulator kinematics model diagram.
[0042] The positive kinematic equation of the tool coordinate system at the end of the manipulator relative to the base coordinate system is described as
[0043]
[0044] Among them, q=[q 1 ,q 2 ,q 3 ,q 4 ,q 5 ,q 6 ,q 7 ] T is the joint angle vector, R Tool is the end pose matrix, p Tool is the end position vector. The homogeneous transformation matrix T(q 1 )T(q 2 ),…,T(q 7 ), so that the positive kinematics equation T(q) of the redundant manipulator can be obtained...
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