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Control Systems

Control Systems
Force balancing equation of a mass element is (where, x = displacement)

 M *x
 M dx/dt
 any of the above
 M d2x/dt2

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Control Systems
The characteristic equation for closed loop system is given as . The value of k for which the system becomes just stable is

 8
 2
 6
 4

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Control Systems
Slope of asymptote in Bode plot of 2nd order system is _____________________ per octave.

 12 dB
 3 dB
 6 dB
 18 dB

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Control Systems
The value of gain margin of the system having G ( s )H ( s ) = 8 / ( s + 2 )3 is

 6.
  8.
 2.
 4.

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

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Control Systems
The transfer function of phase lead compensator is given by , where, T > 0, α < 0. What is the maximum phase shift provided by this compensator?

 sin-1((1 - α)/(1 + α)
 both 1 and 3
 cos-1((1 - α)/(1 + α)
 tan-1((1 - α)/(2√α)

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