The Bode plots for a plant, G(s), used in a unity feedback system are shown in Figure P10.7. Do the following:
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Find the gain margin, phase margin, zero dB frequency, 180° frequency, and the closed-loop bandwidth.
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Use your results in Part a to estimate the damping ratio, percent overshoot, settling time, and peak time.
ANSWERS GIVEN BY PROFESSOR
1. Gain margin = 20dB, Phase margin = 55 deg, Zero dB frequency = 1rad/s, 180deg frequency = 4.5rad/s, bandwidth (-7dB) closed-loop bandwidth = 2rad/s.
2. Zeta = 0.55, OS% = 12.6, Ts = 4.41s, Tp = 2.28s
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The Bode plots for a plant, G(s), used in a unity feedback system are shown in Figure P10.7. Do the following: Find the gain margin, phase margin, zero dB frequency, 180° frequency, and the closed-l...
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Consider the system given below where K is a constant gain, Gp is the plant, and Ge is a compensator. The Bode Plots of a Gp is given below. Problem 1: Bode Diagram 20 2 40 -60 80 -100 90 135 180 a 225 270 101 10 Frequency (rad/s) 102 a. Looking at the low frequency behavior, determine its number of poles at origin. Explain. b. Looking at the high frequency behavior, determine the number of excess poles. Explain. C....
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The values for y axes for the first graph on the top is the same
as second graph on the bottom.
Figure 1 shows the Bode diagrams for a particular system. a.) Sketch the polar diagram for this system, accurately indicating the location and numerical values for the phase and gain margins. The phase margin should be given in degrees, and the gain margin in actual units (i.e. not dB). Use arrows to indicate the di . rection of increasing...
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