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Control Systems

Control Systems
The characteristic equation for closed loop system is given as . The value of k for which the system becomes just stable is

 4
 8
 6
 2

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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?

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

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Control Systems
Which of the following controller has sluggish response?

 integral controller
 derivative controller
 both 2 and 3
 proportional controller

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Control Systems
Differentiation of parabolic response is a -------------- response?

 parabolic
 impulse
 ramp
 step

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Control Systems
The transfer function of a plant is T(s) = 5/(s+5)(s² + 5 + 1). The second order approximation of T(s) using dominant pole concept is

 5/(s² + 5 + 1)
 1/(s+1)(s+5)
 5/(s+1)(s+5)
 1/(s² + 5 + 1)

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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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