Question:
Which one of the following controllers produces the output in three terms?
Which one of the following controllers produces the output in three terms?
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Controller Types. P: Proportional term only. PI: Proportional + Integral terms. PD: Proportional + Derivative terms. PID: Proportional + Integral + Derivative terms (three terms).
Updated On: May 7, 2025
- Proportional controller
- Proportional Derivative controller
- Proportional Integral controller
- Proportional Integral Derivative controller
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The Correct Option is D
Solution and Explanation
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
- 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
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