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1. Wow ? toजज 20 logM 100. 1001 Frequency (rad) " . . Phase (degrees)...
1. a. Design a bandstop filter with a cutoff frequency of -3dB at w1 = 20 rad/s and w2 = 100 rad/s b. Confirm by plotting the magnitude & phase of the transfer function. 2. Design a 5th order low...
1.
a. Design a bandstop filter with a cutoff
frequency of -3dB at w1 = 20 rad/s and w2 = 100 rad/s
b. Confirm by plotting the magnitude &
phase of the transfer function.
2. Design a 5th order low pass butterworth
filter with wc = 1 rad/s.
Use this equation for both problems.
(jo)
(jo)
40 20 20 -60 -80 -100 0.1 100 10 Frequency (radis) -50 -100 -150 200 250...
40 20 20 -60 -80 -100 0.1 100 10 Frequency (radis) -50 -100 -150 200 250 -300 0.1 10 100 Frequency (rad/s) Phase (degrees) 20 log M O Pictuve UShg upon Bode Plot of KGIS) Closed lop syStem's chaactentic eguation is Des)= 1+KG(S) (4) uhg Magnitude Plot, Detamine the torm of Transfer fevction from slope of HigL fretueney, Slope t low freguency, Cut-aft fefuency an Sretch the Voot -locuS t(wro Miw) 20d8 Vampng atto =1) on a seand -order System)...
8. A second order lag process has a resonant frequency, (o, of 10 rad/sec, a damping ratio of 0.1, and a steady state gain, G, of 1. Use the Bode diagram in figure given to determine the gain, m,...
8. A second order lag process has a resonant frequency, (o, of 10 rad/sec, a damping ratio of 0.1, and a steady state gain, G, of 1. Use the Bode diagram in figure given to determine the gain, m, in decibel, and the phase angle B, in degrees for the following values of the radiant frequency. Convert your decibel gain values, m, to ordinary gain values, g. (a) 0.1 rad/s, (b) 10 rad/s. 20 10 ζ-0.5 2.0 10 () ζ-20.0...
ROOT LOCUS OROSSOVER FREQUENCY 2 150 100 50 -AXIS FREQUENCY (RAD/SEC) Problem 3d. Given the phase...
ROOT LOCUS OROSSOVER FREQUENCY 2 150 100 50 -AXIS FREQUENCY (RAD/SEC) Problem 3d. Given the phase angle for a ropt tocus along the Imaginary anls, what does the labeled point represent when constructing a root lacus? ANS is there a stability concern? if so, what is it? ANS
Design a bandstop filter with a cutoff frequency of -3dB at w1 = 20 rad/s and...
Design a bandstop filter with a cutoff frequency of -3dB at w1 = 20 rad/s and w2 = 100 rad/s
What is the damped natural frequency, in rad/s, for a transfer function of 100 32+as+ for...
What is the damped natural frequency, in rad/s, for a transfer function of 100 32+as+ for a step input? Use a = 7 and b = 13.
An RLC in series is connected to a 100 bar 0 degrees V source. If the...
An RLC in series is connected to a 100 bar 0 degrees V source. If the value of angular frequency is 1000 rad/s, R is 50 ohms and L is 100 mH, solve for the value of C so that the current's phase angle is -45 degrees. Please list all equations used with explanations for each step, please do not skip steps so I can understand it and do it on my own.
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...
Q2. Fill in the following table based on the magnitude and phase plots shown below. Freq...
Q2. Fill in the following table based on the magnitude and phase plots shown below. Freq (rad/s) Mag (dB) Mag Phase 40 20 0 -20 -40 .1 Magnitude (dB) 1 2 100 10 Frequency w rad/s) 5 90 10 45 0 Phase (deg) 40 -45 -90 -135 -180 100 10 100 Frequency w rad/s)
Question ④ (20 marks) Consider a control system shown in Fig. I has an open loop TF-G(s) H (s)--( A-Prove that the gain margin-infinite db at infinite rad/sec. and the phase margin 62.1 degrees at...
Question ④ (20 marks) Consider a control system shown in Fig. I has an open loop TF-G(s) H (s)--( A-Prove that the gain margin-infinite db at infinite rad/sec. and the phase margin 62.1 degrees at 2.65 rad/sec.? B-Sketch the polar plot? 15 S(S+5) C- Sketch the Bode plot and show gain margin and phase margin? D-Sketch the Nichols plot? E-Write short MATLAB program to solve a, b, C and D? Best Wishes for all, Examiners
Question ④ (20 marks) Consider...
1.
a. Design a bandstop filter with a cutoff
frequency of -3dB at w1 = 20 rad/s and w2 = 100 rad/s
b. Confirm by plotting the magnitude &
phase of the transfer function.
2. Design a 5th order low pass butterworth
filter with wc = 1 rad/s.
Use this equation for both problems.
(jo)
(jo)
40 20 20 -60 -80 -100 0.1 100 10 Frequency (radis) -50 -100 -150 200 250 -300 0.1 10 100 Frequency (rad/s) Phase (degrees) 20 log M O Pictuve UShg upon Bode Plot of KGIS) Closed lop syStem's chaactentic eguation is Des)= 1+KG(S) (4) uhg Magnitude Plot, Detamine the torm of Transfer fevction from slope of HigL fretueney, Slope t low freguency, Cut-aft fefuency an Sretch the Voot -locuS t(wro Miw) 20d8 Vampng atto =1) on a seand -order System)...
8. A second order lag process has a resonant frequency, (o, of 10 rad/sec, a damping ratio of 0.1, and a steady state gain, G, of 1. Use the Bode diagram in figure given to determine the gain, m, in decibel, and the phase angle B, in degrees for the following values of the radiant frequency. Convert your decibel gain values, m, to ordinary gain values, g. (a) 0.1 rad/s, (b) 10 rad/s. 20 10 ζ-0.5 2.0 10 () ζ-20.0...
ROOT LOCUS OROSSOVER FREQUENCY 2 150 100 50 -AXIS FREQUENCY (RAD/SEC) Problem 3d. Given the phase angle for a ropt tocus along the Imaginary anls, what does the labeled point represent when constructing a root lacus? ANS is there a stability concern? if so, what is it? ANS
What is the damped natural frequency, in rad/s, for a transfer function of 100 32+as+ for a step input? Use a = 7 and b = 13.
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...
Q2. Fill in the following table based on the magnitude and phase plots shown below. Freq (rad/s) Mag (dB) Mag Phase 40 20 0 -20 -40 .1 Magnitude (dB) 1 2 100 10 Frequency w rad/s) 5 90 10 45 0 Phase (deg) 40 -45 -90 -135 -180 100 10 100 Frequency w rad/s)
Question ④ (20 marks) Consider a control system shown in Fig. I has an open loop TF-G(s) H (s)--( A-Prove that the gain margin-infinite db at infinite rad/sec. and the phase margin 62.1 degrees at 2.65 rad/sec.? B-Sketch the polar plot? 15 S(S+5) C- Sketch the Bode plot and show gain margin and phase margin? D-Sketch the Nichols plot? E-Write short MATLAB program to solve a, b, C and D? Best Wishes for all, Examiners
Question ④ (20 marks) Consider...
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