BEE Control Systems Theory 2

Question 1

A system has the characteristic equation s³ + 6s² + 11s + 6 = 0. Using the Routh-Hurwitz criterion, how many roots lie in the right-half s-plane?

Accepted Answer

0

Answer

All Routh array elements are positive (1, 6, 11, 6 → row 2: 6, 6; row 3: 10, 0; row 4: 6), so no sign changes and all roots are in the left-half plane.

Question 2

The steady-state error of a Type 1 system to a ramp input is:

Accepted Answer

A finite nonzero constant

Answer

A Type 1 system has one open-loop integrator, so it tracks step inputs perfectly but produces a finite steady-state error proportional to ramp rate divided by velocity constant Kv.

Question 3

On a Bode plot, what is the slope (in dB/decade) introduced by each additional open-loop pole?

Accepted Answer

-20 dB/decade

Answer

Each real open-loop pole adds a -20 dB/decade slope change to the magnitude Bode plot above its break frequency.

Question 4

Which of the following best describes the principle of superposition as it applies to linear control systems?

Accepted Answer

The output for a sum of inputs equals the sum of individual outputs

Answer

Superposition states that for linear systems, the response to a linear combination of inputs equals the same linear combination of individual responses.

Question 5

The transfer function of an ideal PD controller is:

Accepted Answer

Kp(1 + Td·s)

Answer

A PD controller adds proportional and derivative action, yielding the transfer function Kp(1 + Td·s).

BEE - Bachelor of Electrical Engineering Practice Test

BEE - Bachelor of Electrical Engineering Practice Test

BEE Control Systems Theory 2