BME Control Systems

Question 1

What is the primary purpose of a feedback control system?

Accepted Answer

To compare the output with the desired value and reduce error

Answer

To amplify the input signal

Answer

To eliminate all disturbances in the system

Answer

To increase the system response time

Question 2

For a unity-feedback closed-loop system with forward transfer function G(s), the closed-loop transfer function T(s) is:

Accepted Answer

G(s) / (1 + G(s))

Answer

G(s) / (1 - G(s))

Answer

1 / (1 + G(s))

Answer

G(s) · H(s) / (1 + G(s)·H(s))

Question 3

A first-order system reaches what percentage of its final value at exactly one time constant (τ)?

Accepted Answer

63.2%

Answer

50.0%

Answer

86.5%

Answer

98.2%

Question 4

Steady-state error in a feedback control system is defined as:

Accepted Answer

The difference between desired and actual output as time approaches infinity

Answer

The maximum overshoot during the transient response

Answer

The error at the moment the step input is applied

Answer

The time for the error to first reach zero

Question 5

Which system type can track a unit step reference with zero steady-state error without a proportional controller alone?

Accepted Answer

Type 1 system

Answer

Type 0 system

Answer

Type 2 system

Answer

All system types achieve zero steady-state error for step inputs

Question 6

A system is considered BIBO stable if and only if:

Accepted Answer

Every bounded input produces a bounded output

Answer

All closed-loop poles have positive real parts

Answer

The open-loop gain is greater than one at all frequencies

Answer

The steady-state error is finite for any input

Question 7

The Laplace transform of the unit impulse function δ(t) is:

Accepted Answer

1

Answer

1/s

Answer

s

Answer

e^(−s)