| 전자부품 데이터시트 검색엔진 |
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AN2350 데이터시트(PDF) 28 Page - STMicroelectronics |
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AN2350 데이터시트(HTML) 28 Page - STMicroelectronics |
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28 / 41 page ![]() Control algorithm AN2350 28/41 gradually ramp-up the motor velocity, until it reaches the desired speed and then, gradually ramp-down it until it stops after the task is complete, as shown in Figure 21: Figure 21. Example of trapezoidal velocity profile The trapezoidal velocity profile is analytically expressed as follows: where t1 is the time slot for the ramp-up, t3 is the total time for the execution of the entire trajectory, and is the time slot during which the end effector moves at desired speed vc (also called the cruising speed). Integrating it respect to the time, it is possible to obtain the function that describes the space covered in the workspace. The time t1 can be obtained from the knowledge of the cruising speed and the acceleration a (that represent the known parameters) and the total time t3 can be obtained from the distance smax between the start point and the stop point as follows: Motor Speed Time Start Accelerate Cruising speed Decelerate Stop t1 t2 t3 ⎪ ⎩ ⎪ ⎨ ⎧ < ≤ − + − − − < ≤ < ≤ = 3 1 3 1 3 1 3 1 1 ) (t ) ( ) ( t t t 0 ) ( t t t t t t a v t t t v at t v c c ) ( t 1 3 2 t t − = ⎪ ⎪ ⎪ ⎩ ⎪ ⎪ ⎪ ⎨ ⎧ < ≤ − + − + − + + − − < ≤ + < ≤ = 3 1 3 2 1 3 1 3 2 1 1 3 1 3 1 2 1 1 2 ) (t ) t - a(t 2 1 ) ( at 2 1 ) 2 ( ) ( t at 2 1 ) t - (t t t 0 2 1 ) ( t t t t t t t v t t v t t t v at t s c c c a v c = 1 t 1 max 3 1 3 3 max t ) ( s t v s t v t v t s c c c + = ⇒ − = = |
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