Question 4 (25 Marks) i. i. Given the unity feedback system of Figure 2.2 with: a. Plot the Bode diagram of G(s) using a

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Question 4 25 Marks I I Given The Unity Feedback System Of Figure 2 2 With A Plot The Bode Diagram Of G S Using A 1 (32.71 KiB) Viewed 34 times

Question 4 (25 Marks) i. i. Given the unity feedback system of Figure 2.2 with: a. Plot the Bode diagram of G(s) using asymptotes. b. Find the gain and phase margins. Imaginary Axis The Nyquist diagram of the forward-path transfer function G(s)/K of a unity feedback control system is shown in Figure 4.1. Find the following performance characteristics of the system: 1 a. Gain margin (dB) when K=1. b. Phase margin when K=1. c. The value of K so that the gain margin is 20dB. d. The value of K so that the system is marginally stable. e. Steady state error when the reference input is a unit-step function. 0.8 0.6 0.4 0.2 0 -0.2 -04 -0.6 G(s) -0.8 = -1 10(s + 1) s(s+3)(s² + s + 30) -1 Nyquist Diagram -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 RealAxis 0.8 1