Main Question or Discussion Point
Good afternoon people; recently I decided to give a study break from control engineering; now I'm back. I'm studying again control theory and I see some good results. By the way I got stuck in a topic called root locus method. Now my issue is not about how to sketch the root loci graph (BTW I got a PDF which explains it all as well as Brian Douglas's control engineering videos :) ) My issue is on the following. As far as I have seen the root locus method tell us how the stability of a control system is (i.e. whether if it is stable or unstable) and my teacher said for example: if K is between 1.5 and 1.78 then the step response of a system is overdamped or if K is less than 2.7 then the step response of the system won't present overshoot. Now you may have noticed that I underlined the words "STEP RESPONSE" on the previous quotes. Question: can root locus method tell us about the response of a system whose input is NOT the Heaviside step function (e.g. unit impulse function, sine function, ramp function) or does it only work for step input? I would appreciate your answers people. Thanks.