<Dd> G / τ = K I (\ displaystyle G / \ tau = K_ (I)) = integral gain </Dd> <P> Setting a value for G (\ displaystyle G) is often a trade off between decreasing overshoot and increasing settling time . </P> <P> The lack of derivative action may make the system more steady in the steady state in the case of noisy data . This is because derivative action is more sensitive to higher - frequency terms in the inputs . </P> <P> Without derivative action, a PI - controlled system is less responsive to real (non-noise) and relatively fast alterations in state and so the system will be slower to reach setpoint and slower to respond to perturbations than a well - tuned PID system may be . </P>

What is the output of a pid controller