More properly, a derivative describes the slope or the rate of change of a signal trace at a particular point in time. Accordingly, the derivative term in the PID equation above considers how fast, or the rate at which, error (or PV as we discuss next) is changing at the current moment.
- When derivative gain is used in a PID control system?
- What does the derivative action of a controller respond to?
- What does derivative gain do?
When derivative gain is used in a PID control system?
Derivative is more useful when dead time is not pure dead time but instead a series of small time constants; using derivative “eliminate” one of those small time constants. You should use the derivative time equal to the largest of those small time constants.
What does the derivative action of a controller respond to?
Derivative controllers respond to the change in error with time. If the absolute value of error is rapidly decreasing and the setpoint is near, it is likely that the setpoint will be reached and the error will change sign and increase in the other direction.
What does derivative gain do?
Derivative gain (Kd) represents the damping effects on the system, working with proportional gain to reduce overshoot and oscillations. The term “derivative” is used because this parameter is proportional to the rate of change (derivative) of the error.