Question 2 (a) Consider a unity feedback system as shown in Figure 3. 315 R(s) K sis+ 4s +8s +100) C(s) Figure 3: A unit
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Question 2 (a) Consider a unity feedback system as shown in Figure 3. 315 R(s) K sis+ 4s +8s +100) C(s) Figure 3: A unit
Question 2 (a) Consider a unity feedback system as shown in Figure 3. 315 R(s) K sis+ 4s +8s +100) C(s) Figure 3: A unity feedback system Plot the asymptotic Bode plot for the system it X 500. From the plot, determine the gain margin (GM), phase margin (M), gain cross over frequency (w), phase cross over Irequency (w), and hence state and justify the stability of the system. (10 marks, C4) An open loop transfer function of a unity feedback system is given by GOK s-65 +115+6 i. Sketch the Nyquist diagram for (0<<x) for = 1 ii. Determine the range of K for stability. Determine the frequency of oscillation for marginally stable (b) iii. (7 marks, C4) (2 mark (1 man