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If stability error for step input and speed of response be the criteria for design, what controlled would you recommend

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  1. P controller
  2. PD controller
  3. PI controller
  4. PID controller

Answer (Detailed Solution Below)

Option 4 : PID controller
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Detailed Solution

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If stability error for step input and speed of response be the criteria for design then the PID controller is the best controller to use. Because steady-state error for step input of a PID controller is zero and the speed of the response is high.

Important points

Controller

Transfer function

Application

Proportional (P)

Kp

To change the transient behavior

Integral (I)

KI/s

To decrease the steady-state error

Derivative (D)

KDs

To improve system stability

Proportional Integral (PI)

To decrease the steady-state error without affecting stability

Proportional Derivative (PD)

Kp + KDs

To improve stability without affecting the steady-state error

Proportional Integral Derivative (PID)

To improve stability and decrease steady-state error

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