Problem 6 (5 marks) Draw the Bode plots for the system G(s) = 10 Bode Plot...
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...
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 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]
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...
Sketch the bode plot of a signal conditioner with the transfer function G(s) in the provided graph and calculate the bandwidth of this signal conditioner. GO 10s +1 S2 + 10s + 24 Table 2 Components in G(S) Asymptotes for Magnitude Asymptotes for Phase 20 log,0 1G(jw) Frequency-rad/sec Phase - degrees Frequency - rad/sec
Draw the Nyquist plot using the bode plot below. G(s)=1/(s+1)^2 1. Draw the Nyquist plot using the bode plot below. G(s)-1/(s+1)*2 Bode Diagram 0 -20 9 .40 -60 -80 -100 .45 -90 -135 180 10 10 10 10 Frequency (rad/sec)
singal and system QUESTION 5 [20 marks] Given transfer function of a networks H(s) transfer function at w = 1000 rad/s. $10+ 52 +10005+7x106 - Evaluate the [10 marks) b) Simplify and obtain the frequency response (magnitude and phase plots) of the 100(5+10) following transfer function H(s) s+10000 [6 marks] Sketch the magnitude and phase plots from (b) using Bode Plot Technique. [4 marks]
5. Consider the feedback system in Figure 4 where! G(s) = 26+10% Figure 4 The Bode plot of G is shown in Figure 5. Boda Diagram Magnitude (dB) -100- -156 -135 -root -225 10 Frequency radici Figure 5: Bode plot of G (a) [2 marks] Find the phase margin, gain margin and gain crossover frequency (approximate as needed) for the case when C(s) = 1. PM = GM = wc = You are asked to design a feedback controller C(s)...
6. Quiz W/Th: Consider the system G()(s 40) (s +4) s S- (a) Fill out the table below with the information you would need to sketch the Bode plot of G(s) Break Freq (rad/s) Type (# of LHP/RHP poles/zeros) Magnitude SlopePhase Slope (deg/dec) Term (dB/dec) (b) Calculate the magnitude (in dB) at 0.1 rad/sec and phase (in degrees) at 4 rad/sec (c) Determine which of the following Bode plots is correct for G(s). For full credit, provide enough explanation to...
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...