Homework Answers
(b) solution :-
matlab code :
num = [0.1 25 1000 0]
den = [1 4 104 200]
h = tf(num,den)
bode(h)
output :-
Add Answer to:
0.1s(s 50)(s 200) G(s) (s+2)(s 2s+100) Consider the transfer function above a) Draw the Bode diagrams...
b) Construct the Bode plot for the transfer function 100(1+0.2s) G(s)(1+0.1s)(1+0.001s)* and H(s) = 1 From...
b) Construct the Bode plot for the transfer function 100(1+0.2s) G(s)(1+0.1s)(1+0.001s)* and H(s) = 1 From the graph determine: Phase crossover frequency i) Gain crossover frequency ii) Phase margin iii) iv) Gain margin Stability of the system v)
b) Construct the Bode plot for the transfer function 100(1+0.2s) G(s)(1+0.1s)(1+0.001s)* and H(s) = 1 From the graph determine: Phase crossover frequency i) Gain crossover frequency ii) Phase margin iii) iv) Gain margin Stability of the system v)
Sketch the approximate Bode magnitude and phase plots for the following transfer functions by hand. a....
Sketch the approximate Bode magnitude and phase plots for the following transfer functions by hand. a. G(s) b. G(s)- 200 (s2 +2s)(0.1s +1) s+1 s2 +2s +100
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...
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...
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
4 Consider the transfer function 180 G(s) = s2+0.6s+9 Hint: this problem considers a pair of comp...
4 Consider the transfer function 180 G(s) = s2+0.6s+9 Hint: this problem considers a pair of complex conjugate poles. Use the steps presented in class for complex poles. Put G(s) in the standard form for Bode plots. Find the initial constant magnitude. Sketch the full Bode plot (both magnitude and phase plots) for G(s). Hint: You can check your answer using the bode (sys) command in MATLAB, where sys G(s).
4 Consider the transfer function 180 G(s) = s2+0.6s+9 Hint:...
7. Consider the system with transfer function 100 G(s) = (s + 202 (a) Sketch the...
7. Consider the system with transfer function 100 G(s) = (s + 202 (a) Sketch the bode plot and Nyquist diagrams and determine the range of proportional closed loop gain K for stability. (b) What positive gain K will yield a phase margin of 30 degrees ?
Q13,Q14 please. 25 For the system with transfer function G(S) [13] draw the bode (magnitude and s2+4s+25 phase)...
Q13,Q14 please.
25 For the system with transfer function G(S) [13] draw the bode (magnitude and s2+4s+25 phase) plot on the semi-log paper. [14] The frequency response test ona system yielded the following data: db 0.1 -14 900 610 450 0.5 1 5 5 10 00 10 7.5 -450 50 19 -1360 100 -31 -1800 Plot the data on a semi-log graph sheet. And, also determine the system transfer function in a frequency domain.
25 For the system with transfer...
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.
P4) Consider a system with open loop transfer function of G(s) ? a) Sketch the Bode...
P4) Consider a system with open loop transfer function of G(s) ? a) Sketch the Bode plot. b) Design a PI controller to make the system have a phase margin of 45°. Assume that the open loop s+1)3 gain results in acceptable steady-state error
b) Construct the Bode plot for the transfer function 100(1+0.2s) G(s)(1+0.1s)(1+0.001s)* and H(s) = 1 From the graph determine: Phase crossover frequency i) Gain crossover frequency ii) Phase margin iii) iv) Gain margin Stability of the system v)
b) Construct the Bode plot for the transfer function 100(1+0.2s) G(s)(1+0.1s)(1+0.001s)* and H(s) = 1 From the graph determine: Phase crossover frequency i) Gain crossover frequency ii) Phase margin iii) iv) Gain margin Stability of the system v)
Sketch the approximate Bode magnitude and phase plots for the following transfer functions by hand. a. G(s) b. G(s)- 200 (s2 +2s)(0.1s +1) s+1 s2 +2s +100
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...
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
4 Consider the transfer function 180 G(s) = s2+0.6s+9 Hint: this problem considers a pair of complex conjugate poles. Use the steps presented in class for complex poles. Put G(s) in the standard form for Bode plots. Find the initial constant magnitude. Sketch the full Bode plot (both magnitude and phase plots) for G(s). Hint: You can check your answer using the bode (sys) command in MATLAB, where sys G(s).
4 Consider the transfer function 180 G(s) = s2+0.6s+9 Hint:...
7. Consider the system with transfer function 100 G(s) = (s + 202 (a) Sketch the bode plot and Nyquist diagrams and determine the range of proportional closed loop gain K for stability. (b) What positive gain K will yield a phase margin of 30 degrees ?
Q13,Q14 please.
25 For the system with transfer function G(S) [13] draw the bode (magnitude and s2+4s+25 phase) plot on the semi-log paper. [14] The frequency response test ona system yielded the following data: db 0.1 -14 900 610 450 0.5 1 5 5 10 00 10 7.5 -450 50 19 -1360 100 -31 -1800 Plot the data on a semi-log graph sheet. And, also determine the system transfer function in a frequency domain.
25 For the system with transfer...
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.
P4) Consider a system with open loop transfer function of G(s) ? a) Sketch the Bode plot. b) Design a PI controller to make the system have a phase margin of 45°. Assume that the open loop s+1)3 gain results in acceptable steady-state error
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