Given the unity feedback system of Figure 2.2 with: 10(s + 1) G(s) = s(s+ 3) (s² + s + 30) a. Plot the Bode diagram of G
Posted: Tue Jun 07, 2022 12:34 pm
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Given the unity feedback system of Figure 2.2 with: 10(s + 1) G(s) = s(s+ 3) (s² + s + 30) a. Plot the Bode diagram of G(s) using asymptotes. b. Find the gain and phase margins. i. 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: 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. Nyquist Diagram 1 0.8. 0.6 i. Imaginary Axis 0.4 02 0 1 -0.2 -0,4 -0.6 -0.8 -1 -1 -0.8 -0.6 04 0.2 0 0.2 Real Axis Figure 4.1 0.4 0.6 0.8 1