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Problem Three: Estimating a Transfer Function from a Bode Plot Based on the Bode Plot below,...
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)
Problem 6 (5 marks) Draw the Bode plots for the system G(s) = 10 Bode Plot...
Problem 6 (5 marks) Draw the Bode plots for the system G(s) = 10 Bode Plot .... 1- - .... ... . 20 log M - - - 1111-... - - TH .. 101 100 102 --- - Phase (degrees) .... 101 10 10° Frequency (rad/s)
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....
Problem 3 (20 points) A Bode plot is a graph of the frequency response of a system. It is a combi...
Problem 3 (20 points) A Bode plot is a graph of the frequency response of a system. It is a combination of a magnitude plot, expressing the magnitude in dB of the frequency response, and a phase plot expressing the phase shift. Both quantities are plotted on a horizontal axis proportional to the logarithm of the frequency. Below is an example of a Bode plot created in Matlab. Bode Diagram 0 -20 3-40 E-60 -80 180 90 10 10 10...
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...
Let a transfer function H be 1000s + 10) 100+1000 Use H to respond to the following questions and...
System dynamics course.
Let a transfer function H be 1000s + 10) 100+1000 Use H to respond to the following questions and imperatives a. Write H as a product of standard-form transfer functions Find the frequency response function H(jaw) without simplifying c. Use the axes below to sketch the Bode plot of H. 20 -20 10-1 10° 101 102 103 10 w (rad/s) 90 45 45 -90 -135 -180 10-T 100 101 102 103 101 w (rad/s)
Let a transfer...
Problem 3. Sketch the Bode plot (magnitude only) for the following transfer function. Label all slopes...
Problem 3. Sketch the Bode plot (magnitude only) for the following transfer function. Label all slopes (dB/dec): (s 1000)(s 10,000) (s/100+1) (s/1000+1)(s/10,000+1) 7(s) T(s)- 0 dB 20 dB 0 40 dB 3 60 dB -80 dB -100 dB 10 10 103 104 105 106
QUESTION 4 This question will reinforce how the Bode plot provides the steady-state response for ...
QUESTION 4 This question will reinforce how the Bode plot provides the steady-state response for a linear system in response to a sinusoidal input. Consider this forced mass-spring-damper system: Let M 6, B-48, K-72 Part a) As you did for HW 1, determine steady-state solution "x,()" when FC) 3120 cos(4b) Part b) Determine the transfer function Part c) The Bode plots for the transfer function of Part b are provided in this handout. with the parameter values of Part a....
From the partial Bode diagram, determine the transfer function (Assume a minimum phase system) 100 dB...
From the partial Bode diagram, determine the transfer function (Assume a minimum phase system) 100 dB -40 dB/dedc Not to scale 50 dB... -20 dB/dec -20 dB/dec 10 dB -40 dB/dedc 0.5 40 300 wig w (rad/sec)
-... Find the transfer function H(w) with the Bode magnitude plot shown in Fig. 14.74 H...
-... Find the transfer function H(w) with the Bode magnitude plot shown in Fig. 14.74 H (dB)参 20 20 dB/decade 0 -20L 2 20 100 a) (rad/s)
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)
Problem 6 (5 marks) Draw the Bode plots for the system G(s) = 10 Bode Plot .... 1- - .... ... . 20 log M - - - 1111-... - - TH .. 101 100 102 --- - Phase (degrees) .... 101 10 10° Frequency (rad/s)
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....
Problem 3 (20 points) A Bode plot is a graph of the frequency response of a system. It is a combination of a magnitude plot, expressing the magnitude in dB of the frequency response, and a phase plot expressing the phase shift. Both quantities are plotted on a horizontal axis proportional to the logarithm of the frequency. Below is an example of a Bode plot created in Matlab. Bode Diagram 0 -20 3-40 E-60 -80 180 90 10 10 10...
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 course.
Let a transfer function H be 1000s + 10) 100+1000 Use H to respond to the following questions and imperatives a. Write H as a product of standard-form transfer functions Find the frequency response function H(jaw) without simplifying c. Use the axes below to sketch the Bode plot of H. 20 -20 10-1 10° 101 102 103 10 w (rad/s) 90 45 45 -90 -135 -180 10-T 100 101 102 103 101 w (rad/s)
Let a transfer...
Problem 3. Sketch the Bode plot (magnitude only) for the following transfer function. Label all slopes (dB/dec): (s 1000)(s 10,000) (s/100+1) (s/1000+1)(s/10,000+1) 7(s) T(s)- 0 dB 20 dB 0 40 dB 3 60 dB -80 dB -100 dB 10 10 103 104 105 106
QUESTION 4 This question will reinforce how the Bode plot provides the steady-state response for a linear system in response to a sinusoidal input. Consider this forced mass-spring-damper system: Let M 6, B-48, K-72 Part a) As you did for HW 1, determine steady-state solution "x,()" when FC) 3120 cos(4b) Part b) Determine the transfer function Part c) The Bode plots for the transfer function of Part b are provided in this handout. with the parameter values of Part a....
From the partial Bode diagram, determine the transfer function (Assume a minimum phase system) 100 dB -40 dB/dedc Not to scale 50 dB... -20 dB/dec -20 dB/dec 10 dB -40 dB/dedc 0.5 40 300 wig w (rad/sec)
-... Find the transfer function H(w) with the Bode magnitude plot shown in Fig. 14.74 H (dB)参 20 20 dB/decade 0 -20L 2 20 100 a) (rad/s)
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