I'm trying to find a standard in order to identify a system with no overshoot in term of poles. I know that there is something related to dominant poles. I was looking into a particular 4th-order system with the following poles:
0.9155 + 0.0000i
-0.7144 + 0.5750i
-0.7144 - 0.5750i
-0.2244 + 0.0000i
the system's response in the following:
system's reponse and root locus graph
I want to know something like: systems with poles like that have this kind of response with no overshoot. I was looking at other systems and I found that systems with positive and real poles have no overshoot, but it the case of the graph above has no overshoot too but has 2 real poles and a pair of complex poles.
Thanks in advance guys.