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Control Systems

Control Systems
Angle of asymptotes for complimentary root locus is

 (2q+1)*180/(P-Z)
 (2q)*180/(P-Z)
 (2q+1)*180/P
 (2q)*180/P

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Control Systems
The transfer function of a phase lead compensator is given by: G(s) = (1 + 3Ts)/(1 + Ts) where T>0. What is the maximum phase shift provided by such a compensator?

 90°
 60°
 45°
 30°

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

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Control Systems
The transfer function of the system described by d²/dt²(y(t)) + 3d/dt(y(t)) + 2y(t) = 5u(t) with u(t) as input and y(t) as output is

 5/(s²+3s+2)
 5/s(s²+3s+2)
 (s²+3s+2)/5
 s(s²+3s+2)/5

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Control Systems
Which one of the following is the response y(t) of a casual LTI system described by H(s) = (s+1)/(s²+2s+2) for a given input x(t) = e-t u(t)?

 e-t tant*u(t)
 e-t sint*u(t)
 e-t cott*u(t)
 e-t cost*u(t)

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Control Systems
Settling time for 5% tolerance band is -------------

 5T.
 3T.
 4T.
 2T.

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