Q2 A closed loop sampled data unity feedback system is shown below in Fig. Q2. + R(s) C(s) ZOH G(s) T=0.15 where Gps) K

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Q2 A Closed Loop Sampled Data Unity Feedback System Is Shown Below In Fig Q2 R S C S Zoh G S T 0 15 Where Gps K 1 (90.08 KiB) Viewed 19 times

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Q2 A closed loop sampled data unity feedback system is shown below in Fig. Q2. + R(s) C(s) ZOH G(s) T=0.15 where Gps) K s(s + 10) (a) Using partial fractions find G(z). [10 marks] (b) Using the above G(z), determine the closed loop pulse transfer function. [5 marks] (C) Determine the maximum value of K using the Jury criteria for stability [10 marks] (d) For the maximum value of K found in (c) find the closed loop poles and plot them on the unit circle. Comment on the system stability. [8 marks] (e) Calculate the amplitude of the output c (nT) for the first four sample instants to a unit step input by employing the difference equation method for K = 40. Plot the step response of c(nT) (10 marks] () Briefly describe the advantages of using digital computers in the feedback loop. [7 marks]