BME Control Systems 3

Question 1

In a PID controller, which term is responsible for eliminating steady-state error?

Accepted Answer

Integral (I) term

Answer

Proportional (P) term

Answer

Derivative (D) term

Answer

All three terms contribute equally

Question 2

In state-space representation ẋ = Ax + Bu, y = Cx + Du, the matrix A is called the:

Accepted Answer

System (state) matrix

Answer

Input matrix

Answer

Output matrix

Answer

Feedforward matrix

Question 3

What is the primary practical drawback of applying pure derivative (D-only) control action?

Accepted Answer

It amplifies high-frequency measurement noise

Answer

It increases steady-state error to infinity

Answer

It makes the system response slower

Answer

It removes all damping from the response

Question 4

The Nyquist stability criterion determines closed-loop stability based on:

Accepted Answer

Net encirclements of the −1 + j0 point by the Nyquist plot

Answer

The roots of the characteristic polynomial

Answer

The gain crossover frequency

Answer

The number of open-loop zeros in the right half-plane

Question 5

A system is completely controllable if:

Accepted Answer

Any initial state can be driven to any desired state in finite time via an appropriate input

Answer

The output can always be measured accurately

Answer

The system is stable under all bounded inputs

Answer

The controllability matrix has zero determinant

Question 6

Dominant poles of a higher-order system are those located:

Accepted Answer

Closest to the imaginary axis in the left half-plane

Answer

Farthest from the imaginary axis in the left half-plane

Answer

At the origin of the s-plane

Answer

On the positive real axis

Question 7

For a type-1 feedback control system subjected to a unit ramp input r(t) = t, the steady-state error is:

Accepted Answer

1/Kv, where Kv is the velocity error constant

Answer

Zero

Answer

Infinite

Answer

1/Ka, where Ka is the acceleration error constant