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Control Systems

Control Systems
The characteristic equation of a feedback control is 2s4 + s3 + 3s2 + 5s + 10 = 0. The no of roots in the right half of the s-plane is

 0.
 2.
 3.
 4.

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Control Systems
A unity feedback control system has forward loop transfer function as e-Ts/s(s+1). Its phase value will be zero at frequency ω1. Which of the following equations should be satisfied by ω1?

 ω1 = cot(Tω1)
 ω1 = tan(Tω1)
 Tω1 = tan(ω1)
 Tω1 = cot(ω1)

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Control Systems
Type and order of transfer function G (s) = K / {s(s + 2)}

 2, 1.
 0, 2.
 1, 2.
 1, 1.

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Control Systems
A lead compensator used for a closed loop controller has the following transfer function For such a lead compensator

 a > kb.
 b < a.
 a < kb.
 a < b.

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Control Systems
The impulse response of an initally relaxed linear system is e-2tu(t). To produce a response of te-2tu(t), the input must be equal to

 (0.5)e-2tu(t).
 e-tu(t).
 e-2tu(t).
 2e-tu(t).

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Control Systems
The characteristic equation of a control system is given by What are the angles of asymptotes of the root loci for k ≥ 0?

 120°, 180°, 240°
 60°, 180°, 300°
 0°, 180°, 300°
 0°, 120°, 240°

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