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Control Systems

Control Systems
what is the Laplace transform of a function δ(t-2)?

 2
 0
 e-2s
 2s

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Control Systems
The characteristic equation of a feedback control is 2s4 + s3 + 3s2 + 5s + 10 = 0. The no of roots in the right half of the s-plane is

 2.
 3.
 0.
 4.

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Control Systems
Consider a point S = -3 + j4 in the s-plane. Then for a system with the open loop transfer function ?

 either 1 or 2
None of these
 S is on root locus
 S is not on root locus

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Control Systems
A function y (t) satisfies the following differential equation : Where, δ (t) is the delta function. Assuming zero initial condition and denoting the unit step function by u(t), y(t) can be formed as

 et.
 e-t.
 etu(t).
 e-tu(t).

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

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Control Systems
The value of gain margin of the system having G ( s )H ( s ) = 8 / ( s + 2 )3 is

 2.
  8.
 6.
 4.

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