Problem 2 (20 pts) Find the transfer function of the following Bode plots a) G(s)- 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...
Find the transfer function H ) that corresponds to the following asymptotic Bode plots. The gains are in dB while the frequencies are in rad/s. Write the transfer functions in the form shown in Problem 1(a)-(h) 2GB +200B/dec/ -2021B/dec 201B/dec IB -201B/dec +10dB/dec/ -OIB/dee 10 104 104 104 10 104 104 104 +204B/dec A +20<B/dec -102B/dec -20B/dec - B OB 2013/dee 10 102 104 10 10 10 10 10 10
Sketch the Bode magnitude and phase plots for the following transfer function: G(s)=- a fimction: G(9)= (s+2016+4) (s + 2)(+4)
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)
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=...
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.
4. Sketch the Bode Plots of the following transfer function + 0.1)(s + 1) s(s+ 10)(s + 100) H(s) = 10,000
2. Given the following transfer function S+ 2 Sketch the Bode plots, by marking the breakpoint frequencies, asymptotes of the log modulus and phase angles. Show, by using complex algebra, that the values you find on the plots are correct 0 0 0 0 2 0 0 5 0 5 5 00000000001 28642 2. Given the following transfer function S+ 2 Sketch the Bode plots, by marking the breakpoint frequencies, asymptotes of the log modulus and phase angles. Show, by...
For the following transfer function, sketch approximate straight-line Bode plots, including magnitude and phase plots. Show all steps clearly 10 4 (A)G(s)-7 s (s 2s +100)
Problem Three: Estimating a Transfer Function from a Bode Plot Based on the Bode Plot below, estimate the transfer function for this system. magnitude plot 20 0 2010g, ((w)) 40 -60 -80 10-2 10-1 10° 101 102 w (rad/s) phase plot 100 50 © -50 -100 102 10" 10° 102 10 101 (rad/s]