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Control Systems

Control Systems
The compensator would provide a maximum phase shift of

 20o.
 30o.
 45o.
 60o.

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

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

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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
Negative feedback in a closed loop control system

 reduces sensitivity to parameter variation.
All of these
 improves disturbance rejection.
 reduces gain.

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Control Systems
A function y (t) satisfies the following differential equation : Where, δ (t) is the delta function. Assuming zero initial condition and denoting the unit step function by u(t), y(t) can be formed as

 etu(t).
 et.
 e-tu(t).
 e-t.

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