For the unity feedback system shown in the figure below, where K (s + 1)(s +...

  

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For the unity feedback system shown in the figure below, where K (s + 1)(s + 3) (s + 10) G(s) = (a) Plot the root locus of the system; (b) If the system operates with a damping ratio of 0.5, design a PI controller to drive the step response error to zero; (c) Plot the step response of the uncompensated and compensated systems; (d) Compare the specifications of the uncompensated and compensated systems. (Hint: MATLAB commands you may need to use: tf, rlocus, sgrid, step and control system toolbox.) R(S) E(s) G(s) C(s) For the unity feedback system shown in the figure below, where K (s + 1)(s + 3) (s + 10) G(s) = (a) Plot the root locus of the system; (b) If the system operates with a damping ratio of 0.5, design a PI controller to drive the step response error to zero; (c) Plot the step response of the uncompensated and compensated systems; (d) Compare the specifications of the uncompensated and compensated systems. (Hint: MATLAB commands you may need to use: tf, rlocus, sgrid, step and control system toolbox.) R(S) E(s) G(s) C(s)