I am studying control systems, and I have encountered the definizion of slow zero. I am searching on internet and on books, but I don't understand the meaning this. I know that if a zero is too slow, it introduces a reasonance peak and an overshoot in the step response, but what is a slow zero?
I thiught it was a zero close to the imaginary axis in the root locus, so a zero at low frequencies, but I am not sure, since I cannot find a definition.
I know that a pole that is close from the imaginary axis settle quicker than a pole far from the imaginary axis, but I did some simulations in Matlab, and using a lead compensator, I have seen that if I decrease frequency of the zero in the lead compensator, the overshoot in the step response increases:
where the lead compensators I have used are:
lead = (1+10*0.05*s)/((1+0.05*s)); %red line
lead_2 = (1+30*0.083*s)/((1+0.083*s)); %blu line
lead_3 = (1+50*0.083*s)/((1+0.083*s)); %green line
can somebody help me?