# Concepts of State, State Variables and State Model MCQ’s

This set of Control Systems Multiple Choice Questions & Answers (MCQs) focuses on “Concepts of State, State Variables and State Model”.

1. System transformation on function H(z) for a discrete time LTI system expressed in state variable form with zero initial condition
a) C(zI-A)-1B+D
b) C(zI-A)-1
c) (zI-A)-1z
d) (zI-A)-1

2. State space analysis is applicable for non-linear systems and for multiple input and output systems.
a) True
b) False

3. The transfer function for the state representation of the continuous time LTI system:
dq(t)/dt=Aq(t)+Bx(t)
Y(t)=Cq(t)+Dx(t)
is given by:
a) C(sI-A)-1B+D
b) B(sI-A)-1B+D
c) C(sI-A)-1B+A
d) D(sI-A)-1B+C

4. Assertion (A): Transfer function approach has limitation that it reveals only the system output for a input and provides no information regarding the internal state of the system.
Reason (R): There may be situations where the output of a system is stable and yet some of the system elements may have a tendency to exceed their specified ratings.
a) Both A and R are true and R is correct explanation of A
b) Both A and R are true but R is not correct explanation of A
c) A is true but R is False
d) A is False but R is True

5. For two-phase AC servomotor, if the rotor’s resistance and reactance are respectively R and X, its length and diameter are respectively L and D then,
a) X/R and L/D are both small
b) X/R is large but L/D is small
c) X/R is small but L/D is large
d) X/R and L/D are both large

6. Error detector:
a) Armature controlled FHP DC motor
b) A pair of synchronous transmitter and control transformer
c) Tach generator
d) Amplidyne

7. When human being tries to approach an object, his brain acts as,
a) An error measuring device
b) A controller
c) An actuator
d) An amplifier

8. Consider the following statements relating to synchro’s:
1. The rotor of the control transformer is either disc shaped
2. The rotor of the transmitter is so constructed as to have a low magnetic reluctance
3. Transmitter and control transformer pair is used as an error detector
Which of these statements are correct?
a) 1,2 and3
b) 1 and 2
c) 2 and3
d) 1 and 3

9. Servomotor:
a) Armature controlled FHP DC motor
b) A pair of synchronous transmitter and control transformer
c) Tach generator
d) Amplidyne

10. Amplifier:
a) Armature controlled FHP DC motor
b) A pair of synchronous transmitter and control transformer
c) Tach generator
d) Amplidyne