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The reason this is required is because if your sample rate is too slow, an analog integrator would have reached the limit which is just as fatal as you large digital value.  It is also a requirement for Nyquist sampling criteria to have 2 samples per sinewave to detect it's presence.

thus dT/Tn <<1 is required. This also transforms into an analog bandwidth with a proportional gain and integrator bandwidth.

 I would expect phase lead/lag compensation or Kd gain factors, but I haven't read the spec yet.