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4. Vo(s) Find the transfer function g(s) and find the frequency is rad/s at which the...
1. A unity feedback system has open-loop transfer function given by an 100 G(s)s2)(s +4) a....
1. A unity feedback system has open-loop transfer function given by an 100 G(s)s2)(s +4) a. Use analytical techniques (i.e. without using any plots) to estimate the closed-loop: i. Resonant frequency, w (8 marks) ii. Resonance peak, Mp (in decibels) (2 marks) i. Phase at w = 3rad/s (2 marks) b. Obtain a table for the response of the open-loop transfer function for a set S of frequency values, where S {1.5,3,5,7, 10, 15, 20} rad/s (8 marks) Hence draw...
1. A unity feedback system has open-loop transfer function given by an 100 G(s)s2)(s +4) a....
1. A unity feedback system has open-loop transfer function given by an 100 G(s)s2)(s +4) a. Use analytical techniques (i.e. without using any plots) to estimate the closed-loop: i. Resonant frequency, w (8 marks) ii. Resonance peak, Mp (in decibels) (2 marks) i. Phase at w = 3rad/s (2 marks) b. Obtain a table for the response of the open-loop transfer function for a set S of frequency values, where S {1.5,3,5,7, 10, 15, 20} rad/s (8 marks) Hence draw...
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...
Problem 6: Gain Given the transfer function of an amplifier is j0.003 G(w) = 600 ·...
Problem 6: Gain Given the transfer function of an amplifier is j0.003 G(w) = 600 · (1+ j0.003w) Find the magnitude |G(w)| of the gain. The decibel gain G(dB), is defined as G(dB) = 20log10|G (@)| Find the gain in decibels at: a) w = 0, b) w = 103 c) w = 106 Make a rough plot of G(db) vs frequency.
QUESTION 1 Given the transfer function for a control system: 10 G(s) (1 + s)(0.5s +...
QUESTION 1 Given the transfer function for a control system: 10 G(s) (1 + s)(0.5s + 1) 1.1 Determine the polar representation: Magnitude (gain) and Phase (polar form), as a function of angular frequency w. Show steps. (6) 1.2 Make use of the table below and determine the Magnitude, Magnitude (in dB) and phase for the indicated frequencies. (rad/sec) G(jw)- Magnitude Gain [dB] = 20 log10 Magnitude Phase [degrees] 0.5 5 50
12.18 Find the transfer function G(0) using the Bode magnitude plot shown below. Hw G/dB) -20...
12.18 Find the transfer function G(0) using the Bode magnitude plot shown below. Hw G/dB) -20 dB/decade 40 20 100 20 (rad/s) Figure P12.18 12.26 For the following circuit determine the resonant frequency and quality factor. c = 10 nF 2mA R,2k L0.1 mH c
Consider the transfer function of a DC motor given by G(s) = 1 / s(s+2) 3. Consider the transfer function of a DC motor...
Consider the transfer function of a DC motor given by G(s) = 1 /
s(s+2)
3. Consider the transfer function of a DC motor given by 1 G(s) s (s2) The objective of this question is to consider the problem of control design for this DC motor, with the feedback control architecture shown in the figure below d(t r(t) e(t) e(t) C(s) G(s) Figure 4: A feedback control system (a) Find the magnitude and the phase of the frequency response...
the voltage transfer function Avi) Vo(s)/Vin(s) (s-plane representation) for your selected circuit. What is the frequency...
the voltage transfer function Avi) Vo(s)/Vin(s) (s-plane representation) for your selected circuit. What is the frequency response for this circuit (both magnitude and phase)? What is the corner frequency in Hz and rad/sec? What kind of filter is this? (2+2+1+1) points 1 Vi ?.
3. You are given the following Bode diagrams for different systems. Find the transfer function for...
3. You are given the following Bode diagrams for different systems. Find the transfer function for each one of the systems considering the asymptotes and breaking points. 2.5 An C. - - - Magnitude (dB) Magnitude (dB) 10-1 100 101 10% 10° Frequency (rad/s) Frequency (rad/s) Magnitude (dB) Magnitude (dB) 100 101 101 Frequency (rad/s) 100 101 10² Frequency (rad/s) 103 104
Using Matlab, plot the magnitude and phase of the transfer function (vo/vi) vs. frequency range 1-100...
Using Matlab, plot the magnitude and phase of the transfer
function (vo/vi) vs. frequency range 1-100 kHz. Use log scale for
the frequency axis, dB scale for the magnitude axis, and degrees
for the phase axis. Note dB = 20log10(vo/vi). The 10 stands for
base 10. I need help writing a MATLAB code to output this plot and
also coming up with the vo/vi function itself.
0.1807 H 1402 nF 0.1624 H 1.560nF 1.559 mH
1. A unity feedback system has open-loop transfer function given by an 100 G(s)s2)(s +4) a. Use analytical techniques (i.e. without using any plots) to estimate the closed-loop: i. Resonant frequency, w (8 marks) ii. Resonance peak, Mp (in decibels) (2 marks) i. Phase at w = 3rad/s (2 marks) b. Obtain a table for the response of the open-loop transfer function for a set S of frequency values, where S {1.5,3,5,7, 10, 15, 20} rad/s (8 marks) Hence draw...
1. A unity feedback system has open-loop transfer function given by an 100 G(s)s2)(s +4) a. Use analytical techniques (i.e. without using any plots) to estimate the closed-loop: i. Resonant frequency, w (8 marks) ii. Resonance peak, Mp (in decibels) (2 marks) i. Phase at w = 3rad/s (2 marks) b. Obtain a table for the response of the open-loop transfer function for a set S of frequency values, where S {1.5,3,5,7, 10, 15, 20} rad/s (8 marks) Hence draw...
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...
Problem 6: Gain Given the transfer function of an amplifier is j0.003 G(w) = 600 · (1+ j0.003w) Find the magnitude |G(w)| of the gain. The decibel gain G(dB), is defined as G(dB) = 20log10|G (@)| Find the gain in decibels at: a) w = 0, b) w = 103 c) w = 106 Make a rough plot of G(db) vs frequency.
QUESTION 1 Given the transfer function for a control system: 10 G(s) (1 + s)(0.5s + 1) 1.1 Determine the polar representation: Magnitude (gain) and Phase (polar form), as a function of angular frequency w. Show steps. (6) 1.2 Make use of the table below and determine the Magnitude, Magnitude (in dB) and phase for the indicated frequencies. (rad/sec) G(jw)- Magnitude Gain [dB] = 20 log10 Magnitude Phase [degrees] 0.5 5 50
12.18 Find the transfer function G(0) using the Bode magnitude plot shown below. Hw G/dB) -20 dB/decade 40 20 100 20 (rad/s) Figure P12.18 12.26 For the following circuit determine the resonant frequency and quality factor. c = 10 nF 2mA R,2k L0.1 mH c
Consider the transfer function of a DC motor given by G(s) = 1 /
s(s+2)
3. Consider the transfer function of a DC motor given by 1 G(s) s (s2) The objective of this question is to consider the problem of control design for this DC motor, with the feedback control architecture shown in the figure below d(t r(t) e(t) e(t) C(s) G(s) Figure 4: A feedback control system (a) Find the magnitude and the phase of the frequency response...
the voltage transfer function Avi) Vo(s)/Vin(s) (s-plane representation) for your selected circuit. What is the frequency response for this circuit (both magnitude and phase)? What is the corner frequency in Hz and rad/sec? What kind of filter is this? (2+2+1+1) points 1 Vi ?.
3. You are given the following Bode diagrams for different systems. Find the transfer function for each one of the systems considering the asymptotes and breaking points. 2.5 An C. - - - Magnitude (dB) Magnitude (dB) 10-1 100 101 10% 10° Frequency (rad/s) Frequency (rad/s) Magnitude (dB) Magnitude (dB) 100 101 101 Frequency (rad/s) 100 101 10² Frequency (rad/s) 103 104
Using Matlab, plot the magnitude and phase of the transfer
function (vo/vi) vs. frequency range 1-100 kHz. Use log scale for
the frequency axis, dB scale for the magnitude axis, and degrees
for the phase axis. Note dB = 20log10(vo/vi). The 10 stands for
base 10. I need help writing a MATLAB code to output this plot and
also coming up with the vo/vi function itself.
0.1807 H 1402 nF 0.1624 H 1.560nF 1.559 mH
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