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a. For the following Bode diagram, determine: Bode Diagram (7 marks Magnitude (dB) Phase (deg! Frequency...
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/
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...
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)...
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,...
Consider the system shown as below. Draw a Bode diagram of the open-loop transfer function G(s).
1 Consider the system shown as below. Draw a Bode diagram of the open-loop transfer function G(s). Determine the phase margin, gain-crossover frequency, gain margin and phase-crossover frequency, (Sketch the bode diagram by hand) 2 Consider the system shown as below. Use MATLAB to draw a bode diagram of the open-loop transfer function G(s). Show the gain-crossover frequency and phase-crossover frequency in the Bode diagram and determine the phase margin and gain margin. 3. Consider the system shown as below. Design a...
A bode plot of the transfer function, GS = - 25 $2+45+25, is shown as below....
A bode plot of the transfer function, GS = - 25 $2+45+25, is shown as below. Bode Diagram System sys Frequency (rad/s): 7 Magnitude (dB): -3.4 Magnitude (dB) Phase (deg) Systemt sys Frequency (rad/s): 7 Phase (deg): - 130 - 135 - 180 10 Frequency (rad/s) Determine the frequency response y(t) when a sinusoidal function, X(t) = 10 sin (7t +30) is applied to the transfer function as an input signal. (20 points)
Consider the following magnitude and phase plot of a minimum phase system. Please answer the following and explain. Consider the following magnitude and phase plot of a minimum phase system. Is this...
Consider the following magnitude and phase plot of a minimum
phase system. Please answer the following and explain.
Consider the following magnitude and phase plot of a minimum phase system. Is this system stable or unstable? Explain your answer. Bode Diagram: Minimum-Phase Systenm 100 Gain Crossover 40 -60 80 100 90 135 -180 225 -270 -360 Phase Crossover Op Og Frequency (rad/sec)
Consider the following magnitude and phase plot of a minimum phase system. Is this system stable or unstable?...
You may prepare your answer in softcopy, print out and submit or use hardcopy approach. Put...
You may prepare your answer in softcopy, print out and submit or use hardcopy approach. Put all your MATLAB codes and Simulink Diagram under the appendix. The system below is to be compensated to achieve a phase margin of 50 degrees. s +3 x(t) 5+2s+ 2s E-KH. yệt) Design gain and phase-lead compensator to achieve the desired PM of 45 degrees. +PART A: Uncompensated system analysis % created by Fakhera 2020 Determine the uncompensated PM and GM s=tf('s'); g= (5+3)/...
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...
b) Construct the Bode plot for the transfer function 100(1+0.2s) G(s)(1+0.1s)(1+0.001s)* and H(s) = 1 From...
b) Construct the Bode plot for the transfer function 100(1+0.2s) G(s)(1+0.1s)(1+0.001s)* and H(s) = 1 From the graph determine: Phase crossover frequency i) Gain crossover frequency ii) Phase margin iii) iv) Gain margin Stability of the system v)
b) Construct the Bode plot for the transfer function 100(1+0.2s) G(s)(1+0.1s)(1+0.001s)* and H(s) = 1 From the graph determine: Phase crossover frequency i) Gain crossover frequency ii) Phase margin iii) iv) Gain margin Stability of the system v)
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/
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...
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)...
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,...
A bode plot of the transfer function, GS = - 25 $2+45+25, is shown as below. Bode Diagram System sys Frequency (rad/s): 7 Magnitude (dB): -3.4 Magnitude (dB) Phase (deg) Systemt sys Frequency (rad/s): 7 Phase (deg): - 130 - 135 - 180 10 Frequency (rad/s) Determine the frequency response y(t) when a sinusoidal function, X(t) = 10 sin (7t +30) is applied to the transfer function as an input signal. (20 points)
Consider the following magnitude and phase plot of a minimum
phase system. Please answer the following and explain.
Consider the following magnitude and phase plot of a minimum phase system. Is this system stable or unstable? Explain your answer. Bode Diagram: Minimum-Phase Systenm 100 Gain Crossover 40 -60 80 100 90 135 -180 225 -270 -360 Phase Crossover Op Og Frequency (rad/sec)
Consider the following magnitude and phase plot of a minimum phase system. Is this system stable or unstable?...
You may prepare your answer in softcopy, print out and submit or use hardcopy approach. Put all your MATLAB codes and Simulink Diagram under the appendix. The system below is to be compensated to achieve a phase margin of 50 degrees. s +3 x(t) 5+2s+ 2s E-KH. yệt) Design gain and phase-lead compensator to achieve the desired PM of 45 degrees. +PART A: Uncompensated system analysis % created by Fakhera 2020 Determine the uncompensated PM and GM s=tf('s'); g= (5+3)/...
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...
b) Construct the Bode plot for the transfer function 100(1+0.2s) G(s)(1+0.1s)(1+0.001s)* and H(s) = 1 From the graph determine: Phase crossover frequency i) Gain crossover frequency ii) Phase margin iii) iv) Gain margin Stability of the system v)
b) Construct the Bode plot for the transfer function 100(1+0.2s) G(s)(1+0.1s)(1+0.001s)* and H(s) = 1 From the graph determine: Phase crossover frequency i) Gain crossover frequency ii) Phase margin iii) iv) Gain margin Stability of the system v)
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