CONTROL SYSTEMS QUIZ

The open loop transfer function of a unity feedback control system is G(s) = 1/((s(s+0.1s)(s+1)). The value of damping factor for which the resonant peek is equal to 1.4 is

0.707

0.953

0.263

0.386

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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 cost*u(t)

e-t sint*u(t)

e-t cott*u(t)

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Electrical analogous quantity for dash-pot in force-current analogy is

resistance.

conductance.

inductance.

capacitance.

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Find the relation of damped natural frequency (ωd)

(ωn) √(1-1/ζ²)

(ωn) √(1-2ζ²)

(ωn) √(1-4ζ²)

(ωn) √(1-ζ²)

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Find the corner frequency for the following transfer function? G(s) = 1/(s+2)

4 rad/s

1/2 rad/s

1/4 rad/s

2 rad/s

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

2.

3.

0.

1.

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

None of these

K dx/dt

K d2x/dt2

K *x

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In the integral control of the single area system frequency error is reduced to zero. Then

integrator output and speed changer position attain a constant value.

integrator o/p decreases but speed changer position moves up.

integrator o/p increases but speed changer position comes down.

integrator o/p decreases and speed changer position comes down.

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The transfer function of a system is G(s) = 100/((s+1)(s+100)). For unit step input to the system the approximate settling time for 2% criterion is

100 sec

10 sec

4 sec

400 sec

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The impulse response of the system described by the differential equation will be

1/3.

e-3t u(t).

(1/3) × (1-e-3t).

e6t.

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