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Control Systems Practice Test: Frequency Response Analysis
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Frequency Response Analysis topics include: Frequency response, polar and bode plots, pass and minimum phase systems, correlation between time and frequency response and transfer functions. Frequency response analysis (FRA) is a tool that measures the output spectrum of a system relative to a stimulus. It's also known as Transfer Function Analysis.  FRA calculates the response of a structure to steady state oscillatory excitation. The loading is sinusoidal, and the response occurs at the same frequency. The loads can be forces, displacements, velocity, and acceleration.  FRA is used in... Show more
Control Systems Practice Test: Frequency Response Analysis
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25 Questions

1. Nichol’s chart:
2. Statement 1: In constant M circles, as M increases from 1 to 8 radius of circle increases from 0 to 8 and Centre shifts from (-1,0) to (-8,0)
Statement 2: The circle intersects real axis at point (-1/2, 0)
3. The loop transfer function of a system is given by G(s) H(s) =10e-Ls/s. The phase crossover frequency is 5rad/s. The value of the dead time L is
4. The phase angle of the system G(s) =s+5/s2+4s+9;varies between
5. A system with gain margin close to unity and phase margin close to zero is :
6. Consider the function F (s) =5/s (s2+s+2) , where F (s) is the Laplace transform f (t). Then the final value theorem is equal to
7. The range of K for the stability of system is 0
8. Which one of the following statements is correct for gain margin and phase margin of two closed-loop systems having loop functions G(s) H(s) and exp(-s) G(s) H(s)?
9. The open loop transfer function of a system is G(s) H(s)= K / (1+s)(1+2s)(1+3s)
The phase cross over frequency ωc is
10. The gain margin (in dB) of a system having the loop transfer function
G(s) H(s) = 2 / s(s+1) is
11. The polar plot of a transfer function passes through the critical point (-1,0). Gain margin is
12. Assertion (A): The phase angle plot in Bode diagram is not affected by the variation in the gain of the system.
Reason(R): The variation in the gain of the system has no effect on the phase margin of the system.
13. Assertion (A): All the systems which exhibit overshoot in transient response will also exhibit resonance peak in frequency response.
Reason (R): Large resonance peak in frequency response corresponds to a large overshoot in transient response.
14. The frequency at which the Nyquist diagram cuts the unit circle is known as:
15. What is the value of M for the constant M circle represented by the equation 8x2+18x+8y2+9=0?
16. The constant M circle for M=1 is the
17. The corner frequencies are
18. The LVDT is used in the measurement of:
19. In a bode magnitude plot, which one of the following slopes would be exhibited at high frequencies by a 4th order all-pole system?
20. If the Nyquist plot of the loop transfer function G (s)H (s) of a closed-loop system encloses the (1, j0) point in the G (s)H (s) plane, the gain margin of the system is
21. A minimum phase unity feedback system has a bode plot with a constant slope of -20dB/decade for all frequencies. What is the value of the maximum phase margins of the system?
22. The transfer function of a system is given by Y(s)/X(s) = e−0.1s/1+s. If x(t) is 0.5sint, then the phase angle between the output and the input will be:
23. A system has poles at 0.01 Hz, 1 Hz and 80Hz, zeroes at 5Hz, 100Hz and 200Hz. The approximate phase of the system response at 20 Hz is :
24. If the gain of the open loop system is doubled, the gain of the system is :
25. Which one of the following statements is correct? Nichol’s chart is useful for the detailed study analysis of:

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