CONTROL SYSTEM – STEADY STATE ERROR MCQs

1. When the gain of the control system increases, the steady-state error of the system:

A) Decreases
B) Increase
C) Remains unchanged
D) May increase or decrease

2. For type-2 system the steady state error due unit ramp input is:

A) Infinite
B) One
C) Zero
D) 10

3.Type-1 system gives infinite steady state error for the………….input.

A) Impulse function
B) Unit step
C) Unit ramp
D) Unit parabolic

4.The open-loop gain for a unity feedback system is G(s) = 10/s(s+2), the velocity error constant of the system is:

A) 1
B) 0
C) 5
D) Infinite

ANSWER= (C) 5
Explanation:- The velocity error constant is calculated by using the formula given below 

5.Determine the type of the system for the G(s)= 10/s and H(s)=3/s .

A) Type-0 system
B) Type-1 system
C) Type-2 system
D) None

6.For a unity feedback system having G(s)=35(s+6)/s(s+1)(s+7),determine steady state error for ramp input with magnitude 10.

A) 1.24
B) 0.81
C) 2.46
D) 0.33

ANSWER= (D) 0.33
Explanation:-Use the formula for velocity error coefficient as shown below and then calculate steady-state error (e_ss) by using formula e_{ss= A/}K_{v    = 10/30= 0.33.}  

7.The forward path transfer function of a unity feedback control system is given by G(s)=5(s²+ 2s+200) / s²(s+5)( s2+3s+10) .Determine the step,ramp and parabolic error coefficients.

A) ∞, ∞, 20
B) ∞, 0 ,20
C) 0, ∞,10
D) ∞, ∞,10

ANSWER= (A) ∞, ∞,20
Explanation:- By using the following formula we can calculate the step, ramp, and parabolic error coefficients

8. Which input is not acceptable for the Type-1 system?

A) Parabolic input
B) Step input
C) Ramp input
D)All of the above

9. static error coefficient method is applicable only to the three input signals i.e step, ramp, and parabolic, and cannot give an error coefficient for other input signals.

A) True
B) False

10. Static error coefficient method is applicable only to:

A) Stable system
B) Unstable system
C) Both
D) None