Electrical Engg (EEE) - MCQ Practice Questions

Which of the following correctly represents the Nyquist stability criterion?

For the state-space system: ẋ = Ax + Bu, y = Cx + Du. The controllability matrix rank must equal n for the system to be completely state controllable. What is n?

The transfer function of an ideal derivative controller is:

In a lag-lead compensator design for a Type 1 system, what is the primary purpose of the lag section?

For a system with Gc(s)G(s)H(s) = 100/[s(s+5)], the phase at ω = 5 rad/s is approximately:

Which stability criterion is based on Lyapunov's second method?

In root locus, the breakaway point on the real axis occurs where:

For a system G(s) = K(s+2)/[s(s+1)(s+3)], the number of asymptotes in root locus is:

A proportional controller with Kp = 10 is applied to a unity feedback system with G(s) = 1/[s(s+2)]. The velocity error constant Kv is:

In phase plane analysis, what does a limit cycle represent?

The Bode magnitude plot of G(s) = 100/(s+10) at ω = 10 rad/s shows:

For a cascaded system with G₁(s) = 5/(s+1) and G₂(s) = 2/(s+2), the overall DC gain is:

The sensitivity function S(s) in a feedback control system is defined as:

In digital control systems, the sampling theorem requires sampling frequency to be:

A unity feedback control system has open-loop transfer function G(s) = K/[s(s+2)(s+4)]. For the system to be marginally stable, the value of K should be approximately:

In a lead compensator design, if the phase lead angle required is 45°, the value of α (attenuation factor) in the compensator Gc(s) = (1+αTs)/(1+Ts) should be:

Which of the following statements about state-space representation is INCORRECT?

A second-order system has natural frequency ωn = 10 rad/s and damping ratio ζ = 0.5. The peak overshoot percentage is approximately:

In a Type-2 system with step, ramp, and parabolic inputs, the steady-state error with parabolic input A·t²/2 and loop gain Kv = 5 is:

A PID controller Gc(s) = Kp + Ki/s + Kd·s is applied to a process. Which parameter adjustment would primarily reduce steady-state error without affecting transient response significantly?