tuning transfer function for given dynamic performances
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I want to find a second order transfer function with a non minimum phase zero z=36.6 which has 2% overshooting and a 2% settling time of 0.2s. I created a tunable transfer function but I don’t know how to find the values for the tunable parameters w and xi that allows the performances I want. Is there an automatic way to find them ? I tried to sample the variables and then chose the best function, but I think that this is not the best way to do.
w = realp('w',25);
xi = realp('xi',0.8);
z = 36.6;
G = tf(w^2*[-1/z 1],[1 2*xi*w w^2]);
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