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Control Systems

Control Systems
The unit step response of the system is 1 - e-t(1+t). Which is the system?

 critically stable
 oscillatory
 stable
 unstable

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Control Systems
A proportional plus derivative controller

 increases the stability of the system
 improves the steady state accuracy
 has high sensitivity
 both 1 and 2

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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)
 1/(s² + 5 + 1)
 5/(s+1)(s+5)

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Control Systems
Which of the following represents the value of resonant frequency (ωr)?

 2*(ωn) √(1-ζ²)
 (ωn) √(1-2ζ²)
 (ωn) √(1-ζ²/2)
 (ωn) √(1-ζ²)

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Control Systems
Which of the following are the disadvantages of a closed loop control system?

All of these
 Complex and costly.
 Oscillatory response.
 Reduces the overall gain.

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Control Systems
A unity feedback control system has an open loop transfer function G(s) = k/(s(s² + 7s + 12) The gain k for which s = -1 + j1 will lie on the root locus of the system is

 5
 6.5
 10
 4

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