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AN2350 датащи(PDF) 29 Page - STMicroelectronics |
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AN2350 датащи(HTML) 29 Page - STMicroelectronics |
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29 / 41 page ![]() Control algorithm AN2350 29/41 Now follows the algorithm used for the motion planning in order to build a trajectory table whose points (as joint variables after the reversal kinematics and expressed as incremental encoder pulses) are given as inputs to the PID control interrupt service routine every TR , (fixed in 20 ms). Let the coordinates of the start point and the coordinates of the stop point, vc the cruising speed and a the acceleration. From the previous equations it is possible to obtain the time t1 and the time t3 , where: Consider as the generic straight-line that intersect the two points and , where is the angular coefficient and is the intersection with the Y axis. It is possible that the cruising speed it is not compatible with the imposed acceleration and the distance to cover: this implies that the velocity profile is not trapezoidal. For this reason a convergent loop procedure has been developed (shown in the following scheme) that redefines the values of t1 , vc , and t3 . ) , ( 1 1 y x ) , ( 2 2 y x 2 1 2 2 1 2 max ) ( ) ( y y x x s − + − = c mx y + = ) , ( 1 1 y x ) , ( 2 2 y x 1 2 1 2 x x y y m − − = ⎟⎟ ⎠ ⎞ ⎜⎜ ⎝ ⎛ − + − − + = ) ( ) )( ( 2 1 1 2 1 2 1 2 2 1 x x x x y y y y c |
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