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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
 0.5
 0.707
 1.5

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

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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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Control Systems
Which of the following is the analogous quantity for mass element in force-voltage analogy?

 Resistance.
All of these
 Inductance.
 Capacitance.

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Control Systems
The open loop transfer function of a unity feedback control system is given by G(s) = k/s(s+1). If gain k is increased to infinity, then damping ratio will tend to become

 zero
 0.707
 infinite
 unity

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Control Systems
When writing a transfer function which of the following loops are not valid loops?

 Neither 1 nor 2.
 Self loops at input node.
 Both 1 and 2.
 Self loops at output node.

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