# Experimentation of Transfer Functions MCQ’s

This set of Control Systems Multiple Choice Questions & Answers (MCQs) focuses on “Experimentation of Transfer Functions”.

1. For a type one system, the steady – state error due to step input is equal to

a) Infinite

b) Zero

c) 0.25

d) 0.5

2. The equation 2s^{4}+s^{3}+3s^{2}+5s+10=0 has roots in the left half of s–plane:

a) One

b) Two

c) Three

d) Four

3. The impulse response of a LTI system is a unit step function, then the corresponding transfer function is

a) 1/s

b) 1/s^{2}

c) 1

d) s

4. If the Nyquist plot of the loop transfer function G (s)H (s) of a closed-loop system encloses the (1, j0) point in the G (s)H (s) plane, the gain margin of the system is

a) Zero

b) Greater than zero

c) Less than zero

d) Infinity

5. The transfer function of a phase-lead controller is given by

a) (1+aTs)/(1+Ts) , a>1 T>0

b) (1+aTs)/(1+Ts) , a<1 T>0

c) (1-aTs)/(1+Ts) , a>1 T>0

d) (1±Ts)/(1+Ts) , a<1 T>0

6. Given a unity feedback control system with G (s) = K/s(s+4), the value of K for which the damping ratio is 0.5.

a) 1

b) 16

c) 64

d) 32

7. Consider the function F (s) =5/s (s^{2}+s+2) , where F (s) is the Laplace transform f (t). Then the final value theorem is equal to

a) 5

b) 5/2

c) Zero

d) Infinity

8. If the system matrix of a linear time invariant continuous system is given by

Its characteristic equation is given by:

a) s^{2}+5s+3=0

b) s^{2}-3s-5=0

c) s^{2}+3s+5=0

d) s^{2}+s+2=0

9. The LVDT is used in the measurement of:

a) Displacement

b) Acceleration

c) Velocity

d) Humidity

10. A system with gain margin close to unity and phase margin close to zero is :

a) Highly stable

b) Oscillatory

c) Relatively stable

d) Unstable