Question

PID is a form of control with 3 feedback methods: Proportional, Integral, and Derivative. What is the purpose of each term?

A. P corrects accumulation of errors, D instances of errors, I counteracts overshoot caused by P and D
B. I corrects accumulation of errors, D instances of errors, P counteracts overshoot caused by D and I
C. D corrects accumulation of errors, P instances of errors, I counteracts overshoot caused by D and P
D. D corrects instances of errors, P corrects accumulation of errors, I counteracts overshoot caused by D and P
E. P corrects instances of errors, I corrects accumulation of errors, D counteracts overshoot caused by P and I correct

Answer 1

The purpose of each term in the PID control system is as follows: Proportional (P) corrects the accumulation of errors, Integral (I) corrects the accumulation of errors over time, and Derivative (D) corrects the instances of errors.

Step-by-step explanation:

The purpose of each term in the PID control system is as follows:

1. Proportional (P): The P term corrects the accumulation of errors by providing an output that is directly proportional to the difference between the desired and actual values. It helps in reducing steady-state errors but doesn't eliminate them completely.
2. Integral (I): The I term corrects the accumulation of errors over time. It integrates the error over time and adds a correcting factor to the output. This helps in reducing steady-state errors and eliminates offset errors.
3. Derivative (D): The D term corrects the instances of errors. It calculates the rate of change of the error and adds a correcting factor to the output. It helps in improving the response of the system and reducing overshoot and oscillations.

In PID control, Proportional control responds to current errors, Integral control corrects accumulated errors, and Derivative control counters the rate of change of errors.

In PID control, the purpose of each term is distinct and integral to the overall control strategy. Proportional (P) control responds to the current error, the difference between the desired setpoint and the current process variable. The proportional term's effect is proportional to the size of the error. Integral (I) control is concerned with the accumulation of past errors, effectively summing the error over time, which helps eliminate steady-state error by adjusting the controller output to counteract persistent discrepancies. Lastly, Derivative (D) control looks at the rate of change of the error, predicting the future trend of the error based on its current rate of change, and applies a controlling force to counteract this rate of change, often helping to reduce overshoot and dampen system response.