22. The Bode plots for a plant, G(s), used in a unity- feedback system are shown in Figure P10.7. Do the following: 20 log M Phase (degrees) a. Find the gain margin, phase margin, zero dB frequency, 180° frequency, and the closed-loop bandwidth. b. Use your results in Part a to estimate the damping ratio, percent overshoot, settling time, and peak time. 20 0 -20 -40 -60 -80 -100 10-1 -135 -180 -225 -270 10-1 10⁰ 10⁰ Frequency (rad/s) Frequency (rad/s) FIGURE P10.7 10¹ 10¹ 10² 10²

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22. The Bode plots for a plant, G(s), used in a unity-
feedback system are shown in Figure P10.7. Do the
following:
20 log M
Phase (degrees)
a. Find the gain margin, phase margin, zero dB frequency,
180° frequency, and the closed-loop bandwidth.
b. Use your results in Part a to estimate the damping
ratio, percent overshoot, settling time, and peak time.
20
0
-20
-40
-60
-80
-100
10-1
-90
-135
-180
-225
-270
10-1
10⁰
10⁰
Frequency (rad/s)
Frequency (rad/s)
FIGURE P10.7
10¹
10¹
10²
10²
Transcribed Image Text:22. The Bode plots for a plant, G(s), used in a unity- feedback system are shown in Figure P10.7. Do the following: 20 log M Phase (degrees) a. Find the gain margin, phase margin, zero dB frequency, 180° frequency, and the closed-loop bandwidth. b. Use your results in Part a to estimate the damping ratio, percent overshoot, settling time, and peak time. 20 0 -20 -40 -60 -80 -100 10-1 -90 -135 -180 -225 -270 10-1 10⁰ 10⁰ Frequency (rad/s) Frequency (rad/s) FIGURE P10.7 10¹ 10¹ 10² 10²
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