Friday, April 29, 2016

Bode Plots (Bode Magnitude and Phase Plots) - Topic wise Questions in Control Systems ( from 1987)


2003
1. The approximate Bode magnitude plot of a minimum phase system is shown in figure. The transfer function of the system is


Answer:A

Solution : https://www.youtube.com/watch?v=BXoIP2em_cc


2004


2. Consider the Bode magnitude plot shown in figure. The transfer function H(s) is


Answer:C

Solution : https://www.youtube.com/watch?v=0K0Ls-_nRDQ


3. A system has poles at 0.01 Hz, 1 Hz and 80 Hz; zeros at 5 Hz, 100 Hz and 200 Hz. The approximate phase of the system response at 20 Hz is
a) - 90o
b) 0o
c) 90o
d) - 180o


Answer:A

Solution : https://www.youtube.com/watch?v=8SWwr0wlV0E

2006


4. Consider two transfer functions G1(s) = 1 / (s2 + as + b) and G2(s) = s / (s2 + as + b). The 3 dB bandwidths of their frequency responses are, respectively


Answer:C

Solution :


2007


5. The asymptotic Bode plot of a transfer function is as shown in figure. The transfer function G(s) corresponding to this Bode plot is


Answer:D

Solution : https://www.youtube.com/watch?v=fpM5ezwr90c

2008


6. The magnitude of frequency response of an under damped second order system is 5 at 0 rad/sec and peaks to 10/√3 at 5√2 rad/sec. The transfer function of the system is


Answer:A

Solution : https://www.youtube.com/watch?v=3a4n-8XUFCg

2010


7. A system with transfer function Y(s)/X(s) = s/(s + p) has an output y(t) = cos(2t – π/3) for the input signal x(t) = p cos(2t – π/2). Then, the system parameter 'p' is
a) √3
b) 2/√3
c) 1
d) √3/2
Answer:B

Solution : https://www.youtube.com/watch?v=3WAIkGRRes4


8. For the asymptotic bode magnitude plot shown below, the system transfer function can be


Answer:A

Solution : https://www.youtube.com/watch?v=Tt58Wfn-dsQ

2013


9. The Bode plot of a transfer function G(s) is shown in the figure below.
The gain (20log|G(s)|) is 32 dB and – 8 dB at 1 rad/sec and 10 rad/sec respectively. The phase is negative for all ω. Then G(s) is
a) 39.8/s
b) 39.8/s2
c) 32/s
d) 32/s2


Answer:B

Solution : https://www.youtube.com/watch?v=YkPfY-Gufmg

2014


10. The Bode asymptotic magnitude plot of a minimum phase system is shown in the figure.
If the system is connected in a unity negative feedback configuration, the steady state error of the closed loop system, to a unit ramp input is _____________
Answer:0.5

Solution : https://www.youtube.com/watch?v=fBTMa-Ql07A

11. In a Bode magnitude plot, which one of the following slopes would be exhibited at high frequencies by a 4th order all pole system?
a) – 80 dB/decade
b) – 40 dB/decade
c) + 40 dB/decade
d) + 80 dB/decade
Answer:A

Solution : https://www.youtube.com/watch?v=bTwOnjuzVX8

2015


12. Consider the Bode plot shown in figure.

Assume that all the poles and zeros are real valued. The value of fH – fL (in Hertz) is ____________________


Answer:8970

Solution : https://www.youtube.com/watch?v=R95T4ztuNQo


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