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Control Systems

Control Systems
Find the Laplace transform for sinωt?

 s/(s²+ω²)
 1/s
 ω/(s²+ω²)
 1/s²

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Control Systems
The transfer function of a plant is T(s) = 5/(s+5)(s² + 5 + 1). The second order approximation of T(s) using dominant pole concept is

 5/(s² + 5 + 1)
 1/(s+1)(s+5)
 5/(s+1)(s+5)
 1/(s² + 5 + 1)

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Control Systems
The open loop transfer function for unity feedback system is given by 5(1+0.1s) / (s(1+5s)(1+20s)) Find the steady state error for a step input of magnitude 10 is equal to

 2.
 infinite.
 5.
 zero.

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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

 0.2
 5
 6/5
 0.167

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

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Control Systems
A proportional plus integral controller

 both 2 and 3
 has high sensitivity
 it increases rise time
 increases the stability of the system

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