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Control Systems

Control Systems
If the magnitude of G(jω)H(jω) at phase crossover frequency is 0.5. Find the gain margin of the given system?

 4
 0.5
 1
 2

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Control Systems
A second order control system is defined by the following equation: 4 d²c(t)/dt² + 8 dc(t)/dt + 16 c(t) = 16 u(t) The damping ratio and natural frequency for this system are respectively

 0.25 and 2 rad/s
 0.25 and 4 rad/s
 0.50 and 4 rad/s
 0.50 and 2 rad/s

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Control Systems
When the polynomial is Routh Hurwitz,

 all zeroes lie in the right half of the s-plane.
 the roots of function have real parts which are to be zero/negative.
 the function is not real.
 none of these.

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Control Systems
The poles of the second order system are at -3 ± j4. The damping ratio of the system is

 3/5
 4/5
 3/7
 3/4

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Control Systems
The following transfer function represents a phase-lead compensator?

 (s+4)/(s+6)
 1/s
 (s+4)/(3s+6)
 (4s+2)/(6s+1)

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Control Systems
Two identical first order systems have been cascaded non interactively. The unit step response of the systems will be

 critical damped
 Over damped
 under damped
 un damped

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