2 consider a plant such that a 0 1 3 5 b 0 1 c 1 0 d 0 assuming a perf

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2. Consider a plant such that A = [0 1;-3 -5]; B = [0; 1]; C = [1 0]; D= 0; Assuming a perfect observer, design a control
system with integrator (i.e. design K and K,) so that for a unit step r the output y(t) reaches 1 with overshoot very
close to 10% and settling time very close to 0.5 s.
a. Explain all the steps you took to find K and Ki
b. Show the response y(t) with settling time and overshoot marked in it. Paste the MATLAB code you used to
generate this response.
c. Write down the closed loop poles, closed look zeros, and closed loop dc gain.