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11/27/2023

PID control

 PID control, which stands for Proportional-Integral-Derivative control, is a widely used feedback control system in engineering and industrial processes. It is a type of control system that aims to regulate a process by using three control parameters:

1. Proportional (P): The proportional term is directly proportional to the current error, which is the difference between the desired setpoint and the actual process variable. The proportional term contributes to the output signal in proportion to the magnitude of the error. This helps to reduce the steady-state error.

2. Integral (I): The integral term is proportional to the accumulated sum of past errors over time. It is used to eliminate the residual steady-state error and correct for any long-term cumulative effects of the proportional control. The integral term adds up the errors over time and takes action to reduce the accumulated error.

3. Derivative (D): The derivative term is proportional to the rate of change of the error. It anticipates future behavior of the system and is useful in reducing overshoot and damping oscillations. The derivative term helps to provide stability to the system.

The PID controller output is the sum of these three terms:

Output = Kp · Proportional + Ki · Integral + Kd · Derivative

where Kp, Ki, and Kd are the proportional, integral, and derivative gains, respectively. Adjusting these gains allows engineers to tune the PID controller to achieve the desired response in terms of stability, response time, and minimization of overshoot or oscillations.

PID controllers are commonly used in various industrial applications, including temperature control, speed control of motors, pressure regulation, and many other processes where maintaining a desired setpoint is crucial.

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