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Control Systems

Proportional Controller

A PID control...

Question

A PID controller has the transfer fucntion $2 + \frac{0.4}{s}$ with the unit of time expressed in minutes. The parameters proportional band and reset time for the above controller are respectively.

A

200% and 0.4 min

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B

50% and 0.4 min

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C

200% and 5 min

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D

50% and 5 min

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Solution

The correct option is D 50% and 5 min
$T (s) = 2 + \frac{0.4}{s} = 2 (1 + \frac{0.2}{s})$
Gain = 2

Proportional band
$= \frac{100}{G a i n} = \frac{100}{2} = 50 %$
$R e s e t t i m e = \frac{1}{0.2} = 5 m i n .$

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