A motion trajectory planning method in the operating space of a heavy-duty industrial robot
An industrial robot and operating space technology, applied in the direction of instruments, non-electric variable control, position/direction control, etc., can solve the problem of not realizing the smoothness of motion commands, not realizing the best compromise between optimal time and energy consumption, and space Problems such as discontinuous acceleration at the start point and end point of the multi-point spline
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[0052] Embodiment 1: The specific process of the motion trajectory planning method in the operation space of a heavy-duty industrial robot described in this embodiment is as follows:
[0053] Step A. Use the modified spline function to interpolate for multiple points in the space:
[0054] Step A1: Use a cubic spline curve to establish a basic interpolation function, and use a cubic polynomial to interpolate between any two preset points. The expression of the basic interpolation function is as follows:
[0055] S j (t)=a j +b j (t-t j )+c j (t-t j ) 2 +d j (t-t j ) 3
[0056] t∈[t j , t j+1 ], j=0, 1, ..., n-2 (1)
[0057] The time interval between two adjacent preset points is h j =t j+1 -t j ; a j , b j , c j , d j is the coefficient to be determined; n represents the number of preset points;
[0058] Step A2: At the same time, the function value S must be guaranteed at each preset point to ensure continuity j The first derivative value S′ of (t) j (t...
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