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PI controller

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In control engineering, a PI Controller (proportional-integral controller) is a feedback controller which drives the plant to be controlled with a weighted sum of the error (difference between the output and desired set-point) and the integral of that value. It is a special case of the common PID controller in which the derivative (D) of the error is not used.

Controller output = Constant KI x Summation (Error x Time)


Advantages Of a Proportional Plus Integral Controller

A PI Controller is used to remove steady-state errors.


Disadvantages Of A Proportional Plus Integral Controller

The problem with using a PI controller is that it introduces a phase-lag. This means that on a Nichols Plot, the stability margin (the phase margin) decreases. So careful design considerations with respect to the gain must be considered.


Rectifying The Phase Lag

The phase-lag can be countered/rectified by introduces a Proportional plus Differential Controller (PD Controller).