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Control Systems

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

 3.
 2.
 4.
 0.

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Control Systems
The impulse response of a system is c(t) = -te-t + 2 e-t (t>0). Its open loop transfer function is

 (2s+2)/(s+1)²
 (2s+2)/s²
 (2s+1)/s²
 (2s+1)/(s+1)²

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Control Systems
The error of a system to a ramp input is 1/5, if the type of the system is decreased by one, then the error of unit step input is

 5
 0.2
 6/5
 0.167

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Control Systems
A linear time invariant system has an impulse response e2t for t > 0 . If initial condition are 0 and input is e3t, the output for t > 0 is

  e5t.
  e3t - e2t.
  e2t + e3t.
  e2t - e3t.

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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

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

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Control Systems
Transient response is improved in case of

 both A and B.
 lag network.
 lead network.
 none of these.

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