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Control Systems

Control Systems
The closed loop transfer function of a unity feedback control system is 9/(s² + 3s + 9), then the type of the system is

 1
 3
 2
 0

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

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

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Control Systems
When the input to a system was with drawn at t = 0, its output was found to decrease exponentially from 1000 units to 500 units in 1.386 sec. The time constant of the system is

 0.693.
 2.000.
 1.386.
 0.500.

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Control Systems
The transfer function for tachometer E(S)/θ(S) is

 KS2
 K/S
 K
 KS

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Control Systems
Number of sign changes in the entries in 1st column of Routh array denotes the no. of

 zeroes of system in RHP.
 roots of characteristic polynomial in RHP.
 open loop zeroes in RHP.
 open loop poles in RHP.

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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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