Electrical Engg (EEE) - MCQ Practice Questions

A unity feedback control system has an open-loop transfer function G(s) = 10/(s(s+2)). What is the steady-state error for a unit ramp input?

In a Bode plot, what is the phase margin when the gain crossover frequency equals the phase crossover frequency?

For a second-order system with ζ = 0.5 and ωn = 4 rad/s, what is the peak overshoot?

What is the effect of adding a pole at the origin to a stable open-loop system?

A lead compensator Gc(s) = K(s+a)/(s+b) where b > a provides maximum phase lead at frequency:

In state-space representation, if eigenvalues of A matrix are at s = -1, -2, -3, the system is:

For an underdamped second-order system, the relationship between settling time ts and damping ratio ζ is:

Which compensator is preferred for improving steady-state error without significantly affecting transient response?

A system has poles at -2±j3. The natural frequency and damping ratio are approximately:

In a unity feedback system, increasing loop gain K generally:

In a compensated system, if phase margin PM = 30° and gain margin GM = 8 dB, this indicates:

For a unity feedback control system with G(s) = 10/[s(s+5)], the static velocity error constant Kv is:

A system exhibits steady-state error of 0.2 for unit ramp input with loop gain K = 50. The static velocity error constant is:

The Nyquist stability criterion states that for stability, the Nyquist plot should not encircle:

A control system with gain margin of 6 dB means:

The settling time of a second-order underdamped system is approximately given by:

In state-space representation, observability matrix rank should be equal to:

A lead compensator with transfer function Gc(s) = (1 + aTs)/(1 + Ts) where a > 1 provides:

A system with transfer function H(s) = 100/(s² + 10s + 100) has natural frequency ωₙ and damping ratio ζ respectively as:

Peak overshoot of underdamped second-order system depends on: