Question

The open-loop transfer function of a unity-feedback system is given by: \(G(s) = \frac{30000}{(s+6)(s+20)(s+50)}\ a. Generate the Bode diagram for \(G(s)\) using MATLAB (include this diagram in your submission) and determine the gain and phase margins of the system. b. Submit also the Nyquist diagram of \(G(s)\) and verify the gain and phase margins with the ones obtained from the Bode diagram. c. Is the closed-loop system stable? d. Determine the crossover frequency and the bandwidth of the system. e. Determine the steady-state error of the system to a unit-step input.

          The open-loop transfer function of a unity-feedback system is given by:
\(G(s) = \frac{30000}{(s+6)(s+20)(s+50)}\

a. Generate the Bode diagram for \(G(s)\) using MATLAB (include this diagram in your
submission) and determine the gain and phase margins of the system.
b. Submit also the Nyquist diagram of \(G(s)\) and verify the gain and phase margins with the
ones obtained from the Bode diagram.
c. Is the closed-loop system stable?
d. Determine the crossover frequency and the bandwidth of the system.
e. Determine the steady-state error of the system to a unit-step input.

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The open-loop transfer function of a unity-feedback system is given by:
G(s) = (30000)/((s+6)(s+20)(s+50))
a. Generate the Bode diagram for G(s) using MATLAB (include this diagram in your
submission) and determine the gain and phase margins of the system.
b. Submit also the Nyquist diagram of G(s) and verify the gain and phase margins with the
ones obtained from the Bode diagram.
c. Is the closed-loop system stable?
d. Determine the crossover frequency and the bandwidth of the system.
e. Determine the steady-state error of the system to a unit-step input.

Added by Monique G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Dominique Jan Tan

Step 1

To generate the Bode diagram for G(s) using MATLAB, we can use the following code: ```matlab num = 30000; den = [1 76 1200 6000 0]; G = tf(num, den); figure; bode(G); ``` This code creates a transfer function `G` with the given numerator and denominator Show more…

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The open-loop transfer function of a unity-feedback system is given by: 30000 = s(s+6)(s+20)(s+50). a. Generate the Bode diagram for G(s) using MATLAB (include this diagram in your submission) and determine the gain and phase margins of the system. b. Submit also the Nyquist diagram of G(s) and verify the gain and phase margins with the ones obtained from the Bode diagram. c. Is the closed-loop system stable? d. Determine the crossover frequency and the bandwidth of the system. e. Determine the steady-state error of the system to a unit-step input.

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