For a standard second order system given by this transfer function: where 0.6 and wn =...

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For a standard second order system given by this transfer function: where 0.6 and wn = = G(s) = w/2/2 s² + 25wns +w² 5. Answer the following questions: Find the rise time, peak time, maximum overshoot, and settling time (the two criterion we discussed in class) if the system input is a unit step function. • Show a plot of how Tr, Tp, and %OS all vary with respect to different values of and wn. Ideally, you should do that on MATLAB. For a standard second order system given by this transfer function: where 0.6 and wn = = G(s) = w/2/2 s² + 25wns +w² 5. Answer the following questions: Find the rise time, peak time, maximum overshoot, and settling time (the two criterion we discussed in class) if the system input is a unit step function. • Show a plot of how Tr, Tp, and %OS all vary with respect to different values of and wn. Ideally, you should do that on MATLAB.