Homework Answers
matlab verification:
clc;
clear all;
close all;
s=tf('s');
g=180/(s^2+0.6*s+9);% plant transfer function
margin(g);grid
Add Answer to:
4 Consider the transfer function 180 G(s) = s2+0.6s+9 Hint: this problem considers a pair of comp...
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....
105- Problem #4 - Given the transfer function T(s)- ***(1+%o1+%0011+%00) A) Find the Poles and Zeros....
105- Problem #4 - Given the transfer function T(s)- ***(1+%o1+%0011+%00) A) Find the Poles and Zeros. B) Sketch the Bode plots for the magnitude and phase of the function. C) From the plot estimate the gain and phase at 1000 rad/s and compare to actual calculated values.
1. (20 points). A transfer function has the following zeros and poles: zero at s=-105 and s= poles at s-100 and s--1000. The magnitude of the transfer function at ω= 105 rad/s is equal 100. Find the...
1. (20 points). A transfer function has the following zeros and poles: zero at s=-105 and s= poles at s-100 and s--1000. The magnitude of the transfer function at ω= 105 rad/s is equal 100. Find the transfer function T(s) and sketch Bode plots for the magnitude and phase, ˇ
1. (20 points). A transfer function has the following zeros and poles: zero at s=-105 and s= poles at s-100 and s--1000. The magnitude of the transfer function at ω=...
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...
find Consider the Transfer Function Shown Below: G(S) = (s +2) s(s + 3)(s + 5)2...
find
Consider the Transfer Function Shown Below: G(S) = (s +2) s(s + 3)(s + 5)2 a. Plot the magnitude and phase plots for each element of the above transfer function. (1 b. Plot the Bode magnitude and phase plots of the system in the given logarithmic paper. Use the plotted Bode plots to estimate the gain and phase margins of the system. (10 P d. Is the system stable or not? Explain why? (5 Pts) C.
Sketch the Bode magnitude and phase plots for the following transfer function: G(s)=- a fimction: G(9)=...
Sketch the Bode magnitude and phase plots for the following transfer function: G(s)=- a fimction: G(9)= (s+2016+4) (s + 2)(+4)
25 G(s) draw the bode (magnitude and [13] For the system with transfer function s2+4s+25 phase) plot on the semi-log pa...
25 G(s) draw the bode (magnitude and [13] For the system with transfer function s2+4s+25 phase) plot on the semi-log paper
25 G(s) draw the bode (magnitude and [13] For the system with transfer function s2+4s+25 phase) plot on the semi-log paper
Consider the system shown as below. Draw a Bode diagram of the open-loop transfer function G(s).
1 Consider the system shown as below. Draw a Bode diagram of the open-loop transfer function G(s). Determine the phase margin, gain-crossover frequency, gain margin and phase-crossover frequency, (Sketch the bode diagram by hand) 2 Consider the system shown as below. Use MATLAB to draw a bode diagram of the open-loop transfer function G(s). Show the gain-crossover frequency and phase-crossover frequency in the Bode diagram and determine the phase margin and gain margin. 3. Consider the system shown as below. Design a...
7 11. If a particular network is described by transfer function H(s), use MATLAB to plot the magnitude and phase Bode plot for H(s) equal to (a) 300 (s2 7s +7 s(5s +8s(2s + 4) 7 11. If a particu...
7 11. If a particular network is described by transfer function H(s), use MATLAB to plot the magnitude and phase Bode plot for H(s) equal to (a) 300 (s2 7s +7 s(5s +8s(2s + 4)
7 11. If a particular network is described by transfer function H(s), use MATLAB to plot the magnitude and phase Bode plot for H(s) equal to (a) 300 (s2 7s +7 s(5s +8s(2s + 4)
Consider a negative feedback system whose open-loop transfer function is: G(s)H(s)=K/(s(s+1)) Write a MATLAB program to...
Consider a negative feedback system whose open-loop transfer function is: G(s)H(s)=K/(s(s+1)) Write a MATLAB program to obtain the root-locus plot of G(s)H(s). [2 marks] What are the locations of poles when K = 0.19. [2 marks] When K = 0.4, what are the locations of poles? [3 marks] Find values of the damping ratio, % overshoot and frequency when K = 0.4. [3 marks] Write a MATLAB program to obtain a bode plot of G(s)H(s) when K = 1. [2...
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....
105- Problem #4 - Given the transfer function T(s)- ***(1+%o1+%0011+%00) A) Find the Poles and Zeros. B) Sketch the Bode plots for the magnitude and phase of the function. C) From the plot estimate the gain and phase at 1000 rad/s and compare to actual calculated values.
1. (20 points). A transfer function has the following zeros and poles: zero at s=-105 and s= poles at s-100 and s--1000. The magnitude of the transfer function at ω= 105 rad/s is equal 100. Find the transfer function T(s) and sketch Bode plots for the magnitude and phase, ˇ
1. (20 points). A transfer function has the following zeros and poles: zero at s=-105 and s= poles at s-100 and s--1000. The magnitude of the transfer function at ω=...
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...
find
Consider the Transfer Function Shown Below: G(S) = (s +2) s(s + 3)(s + 5)2 a. Plot the magnitude and phase plots for each element of the above transfer function. (1 b. Plot the Bode magnitude and phase plots of the system in the given logarithmic paper. Use the plotted Bode plots to estimate the gain and phase margins of the system. (10 P d. Is the system stable or not? Explain why? (5 Pts) C.
Sketch the Bode magnitude and phase plots for the following transfer function: G(s)=- a fimction: G(9)= (s+2016+4) (s + 2)(+4)
25 G(s) draw the bode (magnitude and [13] For the system with transfer function s2+4s+25 phase) plot on the semi-log paper
25 G(s) draw the bode (magnitude and [13] For the system with transfer function s2+4s+25 phase) plot on the semi-log paper
7 11. If a particular network is described by transfer function H(s), use MATLAB to plot the magnitude and phase Bode plot for H(s) equal to (a) 300 (s2 7s +7 s(5s +8s(2s + 4)
7 11. If a particular network is described by transfer function H(s), use MATLAB to plot the magnitude and phase Bode plot for H(s) equal to (a) 300 (s2 7s +7 s(5s +8s(2s + 4)
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