# Integral Square Error & its Minimization MCQ’s

This set of Control Systems Multiple Choice Questions & Answers (MCQs) focuses on “Integral Square Error & its Minimization”.

1. What is the analogous electrical element of Frictional coefficient (B) in Force-Current Analogy for mechanical translational system?
a) Resistance
b) Conductance
c) Flux
d) Voltage

2. What is the response of the feedback function with open loop transfer function G(s) = 4/s(s+5) and input is input step?
a) 1-1/3(4e-t – e-4t)
b) 1-1/2(6e-t – e-4t)
c) 1-1/3(6e-t – e-4t)
d) 1-1/2(4e-t – e4t)

3. A unity feedback system has an open loop transfer function G(s) =25/s(s+8). What is the percentage of it’s peak overshoot?
a) 0.13%
b) 1.13%
c) 1.26%
d) 1.52%

4. The response of a servomechanism is 1+0.2e-60t-1.2e-10t when subjected to a unit step input. What is the damping ratio?
a) 1.21
b) 1.43
c) 1.59
d) 1.74

5. A performance index must offer selectivity.
a) True
b) False

6. Actuator is the basic component of an automatic control system.
a) False
b) True

7. The open loop transfer function for a unit feedback system is G(s) = K/s(sT+1). By what factor the amplitude gain K should be reduced so that the peak overshoot becomes 25% from 75%?
a) 75
b) 25
c) 20
d) 10

8. For a unity feedback control system, the open loop transfer function G(s) = 10(s+2)/s2(s+1). What is the acceleration error constant?
a) Infinity
b) 5
c) 10
d) 20

9. What is the need for a controller?