The Bode diagram of a closed-loop system is shown below
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The Bode diagram of a closed-loop system is shown below

Problem 12.6

The Bode diagram of a closed-loop system is shown below. Assume that the system transfer function T(s) has two dominant complex conjugate poles.

(a) Determine the best second-order model for the system.

(b) Determine the system bandwidth.

(c) Predict the percent overshoot and settling time (with a 2% criterion) for a unit step input.


Hint
EngineeringBode plots show the frequency response, that is, the changes in magnitude and phase as a function of frequency. This is done on two semi-log scale plots. The top plot is typically magnitude or “gain” in dB. The bottom plot is phase, most commonly in degrees. The Bode plot for the open-loop transfer function, i.e. G(s)H(s), gives a convenient way to determine the above parameters and hen...

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