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Control Systems

Control Systems
The following transfer function represents a phase-lead compensator?

 1/s
 (4s+2)/(6s+1)
 (s+4)/(s+6)
 (s+4)/(3s+6)

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Control Systems
A unity feedback control system has forward loop transfer function as e-Ts/s(s+1). Its phase value will be zero at frequency ω1. Which of the following equations should be satisfied by ω1?

 ω1 = cot(Tω1)
 Tω1 = cot(ω1)
 Tω1 = tan(ω1)
 ω1 = tan(Tω1)

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Control Systems
A open loop transfer function is given as G(s) = (s+2)/(s+1)(s-1). Find the number of encirclements about '-1+j0'?

 2
 1
 3
 0

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

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

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Control Systems
Time response for a second order control system depends on value of ξ. If ξ>1 then the system is called as

 under damped system.
 over damped system.
 undamped system .
 critically damped system.

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

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