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Example 4b: Find the GM and PM of the following Bode diagram Gain (dB) 5dB 0...
Heading 1 THeading 2 Normal 1No Spa... TitleSubt ont Parageaph Styles Bode Diagram Gm -0.931 dB (...
Find Gp(S)
Heading 1 THeading 2 Normal 1No Spa... TitleSubt ont Parageaph Styles Bode Diagram Gm -0.931 dB (at 17.7 rad/s), Pm0.472 deg (at 18.7 rad/s) 100 50 -50 2 100 -150 -180 E -225 270 10° 10 10 10- 10 10 Frequency (rad/s) ITED KINGDOM
Heading 1 THeading 2 Normal 1No Spa... TitleSubt ont Parageaph Styles Bode Diagram Gm -0.931 dB (at 17.7 rad/s), Pm0.472 deg (at 18.7 rad/s) 100 50 -50 2 100 -150 -180 E -225 270...
show as much work as possible I am stuck on it. E9.5 An integrated CMOS digital...
show as much work as possible I am stuck on it.
E9.5 An integrated CMOS digital circuit can be repre sented by the Bode diagram shown in Figure E9.5. (a) Find the gain and phase margins of the circuit. (b) Estimate how much we would need to reduce the system gain (dB) to obtain a phase margin of 60. 50 9 20 10 1 kHz 10 kHz 100 kHz 10 MHz -20 0 -180 l kHz 10kHz 100 kHz 1...
a. For the following Bode diagram, determine: Bode Diagram (7 marks Magnitude (dB) Phase (deg! Frequency...
a. For the following Bode diagram, determine: Bode Diagram (7 marks Magnitude (dB) Phase (deg! Frequency (rad/s! 1. The gain margin. 2. The phase margin. 3. Gain crossover frequency. 4. Phase crossover frequency. 5. Comment on the stability of this system.
Determine DC gain and crossover frequency from the following Bode plots. Magnitude (dB) Phase (deg) -180...
Determine DC gain and crossover frequency from the following Bode plots. Magnitude (dB) Phase (deg) -180 10-1 100 103 10 Frequency (rad/s) DC gain = 10.8, cr = 1.2 rad/s DC gain = 2.5, wc = 4.2 rad/s DC gain = 5.0 dB, -2.5 rad/s • DC gain = 1.8 dB, -2.1 rad/
5. Consider the feedback system in Figure 4 where! G(s) = 26+10% Figure 4 The Bode...
5. Consider the feedback system in Figure 4 where! G(s) = 26+10% Figure 4 The Bode plot of G is shown in Figure 5. Boda Diagram Magnitude (dB) -100- -156 -135 -root -225 10 Frequency radici Figure 5: Bode plot of G (a) [2 marks] Find the phase margin, gain margin and gain crossover frequency (approximate as needed) for the case when C(s) = 1. PM = GM = wc = You are asked to design a feedback controller C(s)...
12.18 Find the transfer function G(0) using the Bode magnitude plot shown below. Hw G/dB) -20...
12.18 Find the transfer function G(0) using the Bode magnitude plot shown below. Hw G/dB) -20 dB/decade 40 20 100 20 (rad/s) Figure P12.18 12.26 For the following circuit determine the resonant frequency and quality factor. c = 10 nF 2mA R,2k L0.1 mH c
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 2...
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....
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...
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-loop bandwidth.
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...
Figure 1 shows the Bode diagrams for a particular system. a) Sketch the polar diagram for this sy...
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 and the gain margin in absolute units (ie. not dB). Use arrows to indicate the direction of increasing frequency on your diagram b.) Determine numerically the magnitude and gain crossover frequencies for this system. If there are more than one of either,...
752) See Figure 752. D-4. The Bode gain and phase plots for a RC circuit are phase (deg), and frequency B. Also find the other shown in the fig. Determine gain (dB), (rad/sec) for the points la...
752) See Figure 752. D-4. The Bode gain and phase plots for a RC circuit are phase (deg), and frequency B. Also find the other shown in the fig. Determine gain (dB), (rad/sec) for the points labeled A and exponents. Answers: GdBA, phA, wA, GdBB, phB,wB,C, E,F. ans:9 Bode Gain and Phase Plots Gain in dB 6 -10 12.64 10 Frequency in rad/sec 10 10 Phase in deg 765 40 10 F 4764 Frequency in rad/sec Figure 752 10 10...
Find Gp(S)
Heading 1 THeading 2 Normal 1No Spa... TitleSubt ont Parageaph Styles Bode Diagram Gm -0.931 dB (at 17.7 rad/s), Pm0.472 deg (at 18.7 rad/s) 100 50 -50 2 100 -150 -180 E -225 270 10° 10 10 10- 10 10 Frequency (rad/s) ITED KINGDOM
Heading 1 THeading 2 Normal 1No Spa... TitleSubt ont Parageaph Styles Bode Diagram Gm -0.931 dB (at 17.7 rad/s), Pm0.472 deg (at 18.7 rad/s) 100 50 -50 2 100 -150 -180 E -225 270...
show as much work as possible I am stuck on it.
E9.5 An integrated CMOS digital circuit can be repre sented by the Bode diagram shown in Figure E9.5. (a) Find the gain and phase margins of the circuit. (b) Estimate how much we would need to reduce the system gain (dB) to obtain a phase margin of 60. 50 9 20 10 1 kHz 10 kHz 100 kHz 10 MHz -20 0 -180 l kHz 10kHz 100 kHz 1...
a. For the following Bode diagram, determine: Bode Diagram (7 marks Magnitude (dB) Phase (deg! Frequency (rad/s! 1. The gain margin. 2. The phase margin. 3. Gain crossover frequency. 4. Phase crossover frequency. 5. Comment on the stability of this system.
Determine DC gain and crossover frequency from the following Bode plots. Magnitude (dB) Phase (deg) -180 10-1 100 103 10 Frequency (rad/s) DC gain = 10.8, cr = 1.2 rad/s DC gain = 2.5, wc = 4.2 rad/s DC gain = 5.0 dB, -2.5 rad/s • DC gain = 1.8 dB, -2.1 rad/
5. Consider the feedback system in Figure 4 where! G(s) = 26+10% Figure 4 The Bode plot of G is shown in Figure 5. Boda Diagram Magnitude (dB) -100- -156 -135 -root -225 10 Frequency radici Figure 5: Bode plot of G (a) [2 marks] Find the phase margin, gain margin and gain crossover frequency (approximate as needed) for the case when C(s) = 1. PM = GM = wc = You are asked to design a feedback controller C(s)...
12.18 Find the transfer function G(0) using the Bode magnitude plot shown below. Hw G/dB) -20 dB/decade 40 20 100 20 (rad/s) Figure P12.18 12.26 For the following circuit determine the resonant frequency and quality factor. c = 10 nF 2mA R,2k L0.1 mH c
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....
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-loop bandwidth.
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...
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 and the gain margin in absolute units (ie. not dB). Use arrows to indicate the direction of increasing frequency on your diagram b.) Determine numerically the magnitude and gain crossover frequencies for this system. If there are more than one of either,...
752) See Figure 752. D-4. The Bode gain and phase plots for a RC circuit are phase (deg), and frequency B. Also find the other shown in the fig. Determine gain (dB), (rad/sec) for the points labeled A and exponents. Answers: GdBA, phA, wA, GdBB, phB,wB,C, E,F. ans:9 Bode Gain and Phase Plots Gain in dB 6 -10 12.64 10 Frequency in rad/sec 10 10 Phase in deg 765 40 10 F 4764 Frequency in rad/sec Figure 752 10 10...
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