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Control Systems

Control Systems
Which of the following is/are represents the lead compensator?

 both 2 and 3
 (s+2)/(s+1)
 (s+5)/(s+6)
 (s+2)/(s+5)

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Control Systems
Lead network is used to

 improve transient response.
 improve steady state response.
 increase bandwidth.
 both A and C.

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Control Systems
Number of roots in left hand half of s plane if characteristic equation is s3 - 4s2 + s + 6 = 0 ?

 2.
 1.
 3.
 0.

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Control Systems
A transfer function has a zero at s = -1 and poles at s = -1 ± j1. The multiplier being unity, if the input is step function, the steady state response is given by

 2∠90°
 1∠0°
 0.5∠10°
 0.5∠0°

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

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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?

 30°
 60°
 45°
 90°

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