11. The Nyquist plot of: $$G\left( s \right).H\left( s \right) = \frac{{10}}{{{s^2}\left( {1 + 0.5s} \right).\left( {1 + s} \right)}}$$
12. A phase lead compensating network has its transfer function $${G_C}\left( s \right) = \frac{{10\left( {1 + 0.04s} \right)}}{{\left( {1 + 0.01s} \right)}}.$$ The maximum phase lead occurs at a frequency of:
13. Which one of the following compensation is adopted for improving transient response of a negative unity feedback system?
14. A liquid level controller linearly converts a displacement of 2 m to 3 m into 4-20 mA control signal. A relay serves as two position controller to open and close an inlet valve. Relay closes at 12 mA and opens at 10 mA. The hysteresis zone is:
15. Given the system transfer function $$G\left( s \right) = \frac{{K{e^{ - 0.2s}}}}{{s\left( {s + 2} \right)\left( {s + 8} \right)}},$$ the corner frequencies in rad/s are
16. A second order LTI system is described by the following state equations
\[\frac{{\rm{d}}}{{{\rm{dt}}}}\] x1(t) - x2(t) = 0
\[\frac{{\rm{d}}}{{{\rm{dt}}}}\] x2(t) + 2x1(t) + 3x2(t) = r(t)
where x1(t) and x2(t) are the two state variables and r(t) denotes the input. The output c(t) = x1(t).
The system is
\[\frac{{\rm{d}}}{{{\rm{dt}}}}\] x1(t) - x2(t) = 0
\[\frac{{\rm{d}}}{{{\rm{dt}}}}\] x2(t) + 2x1(t) + 3x2(t) = r(t) where x1(t) and x2(t) are the two state variables and r(t) denotes the input. The output c(t) = x1(t).
The system is
17. Where are the K = ±∞ points on the root loci of the characteristic equation of the closed loop control system located at?
18. The feedback control system in the figure is stable.
19. Consider the characteristic equation of a control system given by s3 + (K + 0.5)s2 + 4Ks + 50 = 0. Find the value of K for the system to have sustained oscillations.
20. The open-loop transfer function of a system is given by $$G\left( s \right)H\left( s \right) = \frac{{100\left( {s + 100} \right)}}{{s\left( {s + 10} \right)}}.$$ In the straight line approximation of the Bode plot, |G(jω) H(jω)| and ∠G(jω) H(jω) at ω = 100 rad/s are:
Read More Section(Control Systems)
Each Section contains maximum 100 MCQs question on Control Systems. To get more questions visit other sections.