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Control Systems

Control Systems
The characteristic equation has the following roots for over damped stable system?

 -2,-4
 -2,2
 -2,-2
 -2±j4

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Control Systems
Which of the following transfer functions represent under damped second order systems?

 1/(s² + s + 1)
 4/(s² + 2s + 4)
 2/(s² + 2s + 2)
All of these

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

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Control Systems
Consider the function F(s) = ω/(s²+ω²). Where F(s) = Laplace transform of f(t). The final value of f(t) is equal to

 infinite
 finite constant
 a value between -1 and +1
 zero

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Control Systems
If the transfer function of a phase lead compensator is (s+a)/(s+b) and that of a lag compensator is (s+p)/(s+q), then which one of the following sets of conditions must be satisfied?

 a > b, p > q
 a < b, p < q
 a < b, p >q
 a > b, p < q

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Control Systems
Settling time for 5% tolerance band is -------------

 2T.
 4T.
 3T.
 5T.

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