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Control Systems

Control Systems
The transfer function for tachometer E(S)/θ(S) is

 KS2
 KS
 K
 K/S

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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?

 45°
 60°
 90°
 30°

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Control Systems
Given the Laplace transform of f(t) = F(s), the Laplace transform of (f(t)e-at) is equal to

 F(s)/(s+a)
 F(s+a)
 eas*F(s)
 e-as*F(s)

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

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Control Systems
A second order control system has F(jω) = 100/(100 - ω² + 10√2 jω). Find the resonant peak?

 1
 0.707
 0.5
 1.5

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Control Systems
Force balancing equation for elastic element (K) is (where, x = displacement)

 K dx/dt
 K d2x/dt2
 K *x
None of these

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