Six-freedom-degree robot track planning method giving consideration to tail end motion error
A technology of motion error and trajectory planning, applied in the direction of instruments, manipulators, adaptive control, etc., can solve the problems of reducing planning efficiency, continuous trajectory tracking error cannot be controlled, and it is difficult to reflect the real function of interpolation algorithm
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[0016] Step (1) Establish the forward and inverse kinematics model of the robot based on the screw theory
[0017] positive kinematics model
[0018] like figure 2 shown, the position vector r of the i-th joint of the robot in the initial state is known i and the rotation vector ω i as follows:
[0019]
[0020]
[0021] According to the screw theory, the transformation matrix between joints is expressed in the form of exponential product,
[0022]
[0023] in the formula Represents the i-th joint screw, θ i is the angular displacement of the i-th joint; by ω i =[ω 1 ω 2 ω 3 ]defined as but n i is the rotational linear velocity of the i-th joint motion, ν i =-ω i ×r i .
[0024] Then the positive kinematics model g of the robot st (θ) is represented as follows:
[0025]
[0026] Inverse kinematics model
[0027] This method transforms the solution of each joint angle into three Paden-Kahan subproblems, since the position of the robot end ...
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