Steady-State Error MCQs

Practice Steady-State Error MCQs with four options, answers and explanations for focused Electronics & Telecommunication Engineering revision.

Question 1

Control SystemsSteady-State Error

Steady-state error is the difference between reference input and output-related response as time approaches?

AZero only
BInfinity
COne second always
DThe natural period only

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Correct Answer: B. Infinity

Explanation: Steady-state error is the limiting error after transients have died out, typically e_ss=lim(t→∞)e(t) when the limit exists.

Reference: Standard control systems: steady-state error

Question 2

Control SystemsSteady-State Error

For a Type 1 unity-feedback system, the steady-state error to a unit-step input is?

AZero
BFinite nonzero
CInfinite
DEqual to Kv

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Correct Answer: A. Zero

Explanation: A Type 1 system has one integrator, giving infinite Kp and therefore zero steady-state error for a step input.

Reference: Standard control systems: steady-state error

Question 3

Control SystemsSteady-State Error

For a Type 1 unity-feedback system, the steady-state error to a unit-ramp input is?

A1/Kp
B1/Kv
C1/Ka
DAlways zero

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Correct Answer: B. 1/Kv

Explanation: For a ramp input, the steady-state error of a Type 1 system is ess=1/Kv when Kv is finite and nonzero.

Reference: Standard control systems: steady-state error

Question 4

Control SystemsSteady-State Error

For a Type 2 unity-feedback system, the steady-state error to a unit-ramp input is?

AZero
B1/Kv
C1/Ka
DInfinite

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Correct Answer: A. Zero

Explanation: A Type 2 system has two integrators, giving infinite velocity error constant and zero ramp steady-state error.

Reference: Standard control systems: steady-state error

Question 5

Control SystemsSteady-State Error

A unity-feedback system has G(s)=10/(s+2). Its Kp is?

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Correct Answer: B. 5

Explanation: Kp=lim(s→0)10/(s+2)=10/2=5.

Reference: Standard control systems: steady-state error

Question 6

Control SystemsSteady-State Error

For G(s)=10/(s+2) with unity feedback, the steady-state error to a unit-step input is?

A1/5
B1/6
C1/10
D0

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Correct Answer: B. 1/6

Explanation: Kp=5, so ess=1/(1+Kp)=1/6.

Reference: Standard control systems: steady-state error

Question 7

Control SystemsSteady-State Error

A unity-feedback system has G(s)=20/[s(s+4)]. Its velocity error constant Kv is?

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Correct Answer: B. 5

Explanation: Kv=lim(s→0)sG(s)=20/(s+4)|s=0=5.

Reference: Standard control systems: steady-state error

Question 8

Control SystemsSteady-State Error

For G(s)=20/[s(s+4)] with unity feedback, the unit-ramp steady-state error is?

A0
B0.2
C4
D5

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Correct Answer: B. 0.2

Explanation: For a Type 1 system, ess=1/Kv=1/5=0.2.

Reference: Standard control systems: steady-state error

Question 9

Control SystemsSteady-State Error

For a Type 0 unity-feedback system, the steady-state error to a unit-step input is generally?

AZero
BFinite and nonzero
CInfinite in every case
DAlways -1

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Correct Answer: B. Finite and nonzero

Explanation: A Type 0 system has finite position error constant Kp, so for a unit step ess=1/(1+Kp), generally finite and nonzero.

Reference: Standard control systems: steady-state error