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Control Systems

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

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

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Control Systems
What is the type of closed loop system for the plant transfer function G(s) = k/s²(1+Ts) and with unity feedback?

 3
 0
 2
 1

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Control Systems
The poles of the second order system are at -3 ± j4. The damping ratio of the system is

 3/4
 4/5
 3/7
 3/5

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Control Systems
The open loop transfer function of non unity negative feedback system is , then the number of root locus branches equal to

 2.
 3.
 0.
 1.

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

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

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Control Systems
A second order control system is defined by the following equation: 4 d²c(t)/dt² + 8 dc(t)/dt + 16 c(t) = 16 u(t) The damping ratio and natural frequency for this system are respectively

 0.25 and 2 rad/s
 0.25 and 4 rad/s
 0.50 and 2 rad/s
 0.50 and 4 rad/s

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