Question

Which one of the following controllers produces the output in three terms?

• A. Proportional controller
• B. Proportional Derivative controller
• C. Proportional Integral controller
• D. Proportional Integral Derivative controller

Hint:

Controller Types. P: Proportional term only. PI: Proportional + Integral terms. PD: Proportional + Derivative terms. PID: Proportional + Integral + Derivative terms (three terms).

Answer 1

The Correct Option is D

Controllers are named based on the terms they use to calculate the output based on the error signal (e = setpoint - measured value)
- Proportional (P) controller: Output \(\propto\) e (One term)
- Proportional-Integral (PI) controller: Output \(\propto\) e + \(\int e \, dt\) (Two terms)
- Proportional-Derivative (PD) controller: Output \(\propto\) e + \(de/dt\) (Two terms)
- Proportional-Integral-Derivative (PID) controller: Output \(\propto\) e + \(\int e \, dt\) + \(de/dt\) (Three terms)
Therefore, the PID controller produces an output based on three terms: proportional, integral, and derivative of the error