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6. Quiz W/Th: Consider the system G()(s 40) (s +4) s S- (a) Fill out the...
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)...
consider a negative unity feedback system whose feedforward transfer function is: (s) - 1/((s+0.11(s+1)(s+10) Brawa Bode...
consider a negative unity feedback system whose feedforward transfer function is: (s) - 1/((s+0.11(s+1)(s+10) Brawa Bode plot of the open loop transfer function that includes an asymptotic and approximate estimate for both magnitude and phase. Answer he following questions Asymptotic phase lag at 1 rad/sec is _ degrees 0 -45 -90 0-135 -180 225 270 325 -360 Asymptotic phase lag at 10 rad/sec is _ degrees 0 -45 -90 0 -135 -180 -225 -270 360 none of these Asymptotic phase...
consider a negative unity feedback system whose feedforward transfer function is: (s) + 1/[(s+0.11(s+1)(s+10)] Braw a...
consider a negative unity feedback system whose feedforward transfer function is: (s) + 1/[(s+0.11(s+1)(s+10)] Braw a Bode plot of the open loop transfer function that includes an asymptotic and approximate estimate for both magnitude and phase. Answer he following questions D Question 1 5 pts Low frequency DC gain is_db 00 0 1 10 100 none of these Question 2 Low frequency DC phase lag is _ degrees 0 -90 -180 -270 -360 none of these Question 3 Asymptotic magnitude...
For the system transfer function given by: s +10 $2 x (82100.+10) 1. Identify each term in the tr...
For the system transfer function given by: s +10 $2 x (82100.+10) 1. Identify each term in the transfer function (constant, poles, zeros) (a) For any constant terms, what is the dB magnitude? What is the phase angle? (b) For any real poles not at the origin, what is the break frequency? (c) For any real zeros not at the origin, what is the break frequency? 2. Give the value of the DB magnitude and phase angle at w =...
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)
For all problems -given a transfer function G(s) sketch the magnitude and phase characteristics in the...
For all problems -given a transfer function G(s) sketch the magnitude and phase characteristics in the logarithmic scale (i.e. Bode-plots) of the system using the following rules-of-thumb: i. "Normalize" the G(s) by extracting poles/zeros, substituting s-jw and writing the TF using DC-gain KO and time-constants i. Arange break-points (poles, zeros or on for complex-conjugate poles) in ascending order ii Based on the term Ko(ju)Fk, determine: initial slope of the magnitude-response asymptote for low frequencies as F k 20 dB/dec (e.g....
QUESTION 2 Consider this 2" order transfer function which was discussed in lecture G(s) 10s+9 The Bode plots (magnitude, phase) for this G(s) are provided in this handout. For the following...
QUESTION 2 Consider this 2" order transfer function which was discussed in lecture G(s) 10s+9 The Bode plots (magnitude, phase) for this G(s) are provided in this handout. For the following frequency (i.e."o") values, do complex number calculations as performed in lecture, to verify that this magnitude curve (in decibels) and phase curve (in degrees) are correct “o',-0.03, 0.2, 1, 6, 20, and 60 rad/sec Be sure to show your work CLEARLY, and indicate on the Bode plots the magnitude/phase...
System dynamics and control 4. A Controller K is used to control the angle y, of...
System dynamics and control
4. A Controller K is used to control the angle y, of a motor by providing the required voltage to the motor. The bode plot of the openloop system GK is shown below: a. What happens to the phase margin of the system as the time delay increases? Explain why. b. If there is time delay between the controller and the plant, what is that maximum time delay this controller can handle before it becomes unstable....
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 values for y axes for the first graph on the top is the same as second graph on the bottom.
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...
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)...
consider a negative unity feedback system whose feedforward transfer function is: (s) - 1/((s+0.11(s+1)(s+10) Brawa Bode plot of the open loop transfer function that includes an asymptotic and approximate estimate for both magnitude and phase. Answer he following questions Asymptotic phase lag at 1 rad/sec is _ degrees 0 -45 -90 0-135 -180 225 270 325 -360 Asymptotic phase lag at 10 rad/sec is _ degrees 0 -45 -90 0 -135 -180 -225 -270 360 none of these Asymptotic phase...
consider a negative unity feedback system whose feedforward transfer function is: (s) + 1/[(s+0.11(s+1)(s+10)] Braw a Bode plot of the open loop transfer function that includes an asymptotic and approximate estimate for both magnitude and phase. Answer he following questions D Question 1 5 pts Low frequency DC gain is_db 00 0 1 10 100 none of these Question 2 Low frequency DC phase lag is _ degrees 0 -90 -180 -270 -360 none of these Question 3 Asymptotic magnitude...
For the system transfer function given by: s +10 $2 x (82100.+10) 1. Identify each term in the transfer function (constant, poles, zeros) (a) For any constant terms, what is the dB magnitude? What is the phase angle? (b) For any real poles not at the origin, what is the break frequency? (c) For any real zeros not at the origin, what is the break frequency? 2. Give the value of the DB magnitude and phase angle at w =...
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)
For all problems -given a transfer function G(s) sketch the magnitude and phase characteristics in the logarithmic scale (i.e. Bode-plots) of the system using the following rules-of-thumb: i. "Normalize" the G(s) by extracting poles/zeros, substituting s-jw and writing the TF using DC-gain KO and time-constants i. Arange break-points (poles, zeros or on for complex-conjugate poles) in ascending order ii Based on the term Ko(ju)Fk, determine: initial slope of the magnitude-response asymptote for low frequencies as F k 20 dB/dec (e.g....
QUESTION 2 Consider this 2" order transfer function which was discussed in lecture G(s) 10s+9 The Bode plots (magnitude, phase) for this G(s) are provided in this handout. For the following frequency (i.e."o") values, do complex number calculations as performed in lecture, to verify that this magnitude curve (in decibels) and phase curve (in degrees) are correct “o',-0.03, 0.2, 1, 6, 20, and 60 rad/sec Be sure to show your work CLEARLY, and indicate on the Bode plots the magnitude/phase...
System dynamics and control
4. A Controller K is used to control the angle y, of a motor by providing the required voltage to the motor. The bode plot of the openloop system GK is shown below: a. What happens to the phase margin of the system as the time delay increases? Explain why. b. If there is time delay between the controller and the plant, what is that maximum time delay this controller can handle before it becomes unstable....
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 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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