## Standard Form for second order systems.

Suppose there's a system with given uncertain parameters. And I would like to obtain certain Rise time, max. over shoot, settling time by adjusting those parameters.

Let's say this is the second order system;

T(s) = (ks + c) / (s2 + as + b)

First of all; for a second order system there is a standard form which is;

Wn2 / s2 + 2ζωns + ωn2

As we have to have the Wn2 in the numerator, it's not that way always. Just like in the example. So, what am I suppose to do at that point ?

If the transfer function T(s) looks like exactly the standard form, I could get the desired values by changing parameters. I think.

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 Quote by zoom1 First of all; for a second order system there is a standard form which is; Wn2 / s2 + 2ζωns + ωn2