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Use Matlab to obtain insight into the system behavior for first-order systems and second-order systems when the system has (a) one real pole and no finite zero (first-order system response), (generate one step response); (b) real and equal poles and no finite zero (critically damped system), (plot one step response); (c) real and unequal poles and no finite zero (over damped system), (plot one step response); (d) complex poles and no finite zero(under damped), (plot three different step responses); G(s)=\frac{n(s)}{d(s)} a) Let n(s) = 1 and d(s) = (s+1) = s +1 b) Let n(s) = 1 and d(s) = (s + 1)(s + 1) = s² +28+1 c) Let n(s) = 4 and d(s) = (s + 1)(s + 4) = s² + 5s + 4. d) Let n(s) = 1 and d(s) = s² +258 +1, with (i) = 0.707, (ii) = 0.45, and (iii) = 0.1.

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