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Control Systems

Control Systems
A second order control system has F(jω) = 100/(100 - ω² + 10√2 jω). Find the resonant peak?

 1
 1.5
 0.707
 0.5

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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

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

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

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

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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?

 1
 2
 3
 0

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Control Systems
A linear time invariant system has an impulse response e2t for t > 0 . If initial condition are 0 and input is e3t, the output for t > 0 is

  e2t + e3t.
  e5t.
  e3t - e2t.
  e2t - e3t.

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Control Systems
A transfer function has its zero in the right half of the s-plane. The function

 is positive real
 is minimum phase
 is non-minimum phase
 will give stable impulse response

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