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Control Systems

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

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

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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+1)/(s+1)²
 (2s+2)/s²

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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?

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

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Control Systems
Which of the following statements is/are true?

 nether 1 nor 2
 both 1 and 2
 Centroid may be a part of root locus
 Centroid may not be a part of root locus

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Control Systems
The input-output relationship of a linear time invariant continuous time system is given by r(t) = d²c(t)/dt² + 3 dc(t)/dt + 2 c(t) Where r(t) and c(t) are input and output respectively. What is the transfer function of the system equal to?

 2/(s² + s + 2)
 1/(s² + s + 2)
 1/(s² + 3s + 2)
 2/(s² + 3s + 2)

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Control Systems
A first order control system is initially at 0 V and subjected to a sudden input at t=0. Its output reaches 1.1 V in 4 sec and eventually reaches steady state of 2 V. Find the time constant?

 6 sec
 5 sec
 2 sec
 4 sec

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