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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)...
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...
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/
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....
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...
ASAP ble 3 20 Pts. A transfer function Bode p ots are shown below. Answer the...
ASAP
ble 3 20 Pts. A transfer function Bode p ots are shown below. Answer the following questions; please eatly draw the appropriate lines as needed, show your work and write your answers in the provided table a. What is the gain margin in dB? b. What is the phase margin in degrees? c. What is the ultimate gain Keu in dB? Also, convert Kc back from dB to a regular gain value. d. What is the ultimate frequency wy...
please show steps 5. GH(s) is a minimum-phase system which has the Bode plot shown below. It is desired to increase the phase margin by 40 degrees and also increase the closed-loop system bandwidth....
please show steps
5. GH(s) is a minimum-phase system which has the Bode plot shown below. It is desired to increase the phase margin by 40 degrees and also increase the closed-loop system bandwidth. Design a lead compensator for this purpose. Determine (1) the ratio of the pole to the zero, α , (2) the frequency where the maximum phase shift from the compensator should be placed, and then (3) the pole and zero. You need not draw the Bode...
7.5 (2 points) Given the Bode plot shown below: Bode Diagram 50 -50 E -100 150 O 45 a -90 135 180...
7.5 (2 points) Given the Bode plot shown below: Bode Diagram 50 -50 E -100 150 O 45 a -90 135 180 10 102 Frequency (radis) 103 10 10 10 Find the associated transfer function Gs).Enter your answer symbolically in terms of s. For proper grading, do not factor out terms in the numerator or denominator, e.g., enter 5-+1015 and not5- (+2+3. G(s)-
7.5 (2 points) Given the Bode plot shown below: Bode Diagram 50 -50 E -100 150 O...
Question 13 10 poi Given the open loop gan Bode plot diagram of a system, Chose...
Question 13 10 poi Given the open loop gan Bode plot diagram of a system, Chose the best sentonce that describes the closed loop system Bode Diagram 50 45 35 30 25 20 15 45 30 15 0 -15 -30 45. -60 75 -105 -120 -135 10 10 10 Frequency (radsec) O The system is stable O The system is unstable only because the gain is greater than 0 when the phase is-180 O The system is unstable only because...
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)...
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...
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/
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....
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...
ASAP
ble 3 20 Pts. A transfer function Bode p ots are shown below. Answer the following questions; please eatly draw the appropriate lines as needed, show your work and write your answers in the provided table a. What is the gain margin in dB? b. What is the phase margin in degrees? c. What is the ultimate gain Keu in dB? Also, convert Kc back from dB to a regular gain value. d. What is the ultimate frequency wy...
please show steps
5. GH(s) is a minimum-phase system which has the Bode plot shown below. It is desired to increase the phase margin by 40 degrees and also increase the closed-loop system bandwidth. Design a lead compensator for this purpose. Determine (1) the ratio of the pole to the zero, α , (2) the frequency where the maximum phase shift from the compensator should be placed, and then (3) the pole and zero. You need not draw the Bode...
7.5 (2 points) Given the Bode plot shown below: Bode Diagram 50 -50 E -100 150 O 45 a -90 135 180 10 102 Frequency (radis) 103 10 10 10 Find the associated transfer function Gs).Enter your answer symbolically in terms of s. For proper grading, do not factor out terms in the numerator or denominator, e.g., enter 5-+1015 and not5- (+2+3. G(s)-
7.5 (2 points) Given the Bode plot shown below: Bode Diagram 50 -50 E -100 150 O...
Question 13 10 poi Given the open loop gan Bode plot diagram of a system, Chose the best sentonce that describes the closed loop system Bode Diagram 50 45 35 30 25 20 15 45 30 15 0 -15 -30 45. -60 75 -105 -120 -135 10 10 10 Frequency (radsec) O The system is stable O The system is unstable only because the gain is greater than 0 when the phase is-180 O The system is unstable only because...
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