Discussion
The problem, with PI controller is its response to transients, is
Answer: D
The problem with a PI controller is that its response to transients is sluggish, option (D). The integral action builds up slowly, and it adds a pole at the origin and a phase lag, so the controller is slow to react to a sudden disturbance, although it removes the steady state error. A PI controller is not very fast, option (A), since the lag slows it. It has no dead zone, option (B), which is a nonlinearity of some actuators. It is a linear controller, so option (C) is not right. The derivative action of a PID controller is what is added to speed up the response to transients.
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