Quote:
Originally Posted by Jared
However, that's difficult, and you can come up with a simpler equation, v * a = k, where k is some constant specific to your setup. This means you either get a large acceleration or a large velocity, but not both at the same time. This equation is only valid when a is less than the acceleration achieved by stall torque and v is less than the no load speed. This is really easy to add into your calculations for the constant acceleration portion with
If you have a large velocity, you can't accelerate as fast.
This would let you achieve the most aggressive and fastest profile possible for when speed really matters.
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If you can experimentally (or analytically) determine the maximum speed
vmax and the maximum acceleration
amax, you could try using a linear relation:
acceleration = amax*(1-speed/vmax)
... and that would be easy to numerically integrate in a spreadsheet.
When speed=
vmax the acceleration is zero, and when speed=0 the acceleration is
amax.
EDIT: added
screenshot and
XLS for user-selectable accel & speed limiting