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SarkariResultOutBMS · 2024

Previous Year Question

Consider the following statements regarding time-domain analysis of a control system:Statement 1:Derivative control improves the system’s transient performance.Statement 2:Integral control does not improve system’s steady state performance.Choose the correct options from the following:
  1. Both statement 1 and statement 2 are correct.
  2. Statement 1 is correct, but statement 2 is incorrect.
  3. Statement 2 is correct, but statement 1 is incorrect.
  4. Both statement 1 and statement 2 are incorrect.

Correct answer: B

Explanation

Derivative action anticipates changes in error and generally improves damping and transient response. Integral action accumulates error and is specifically used to improve steady-state accuracy, often eliminating step steady-state error. Hence statement 1 is true and statement 2 is false.

Formula

PID: u=Kp e+Ki∫e dt+Kd de/dt

Step-by-step solution

Derivative and Integral Control Effects explanatory diagram

Correct Answer

B — Statement 1 is correct, but statement 2 is incorrect.

Statement-wise Analysis

Statement 1: True

Statement 2: False

Concept and Reasoning

Derivative action anticipates changes in error and generally improves damping and transient response. Integral action accumulates error and is specifically used to improve steady-state accuracy, often eliminating step steady-state error. Hence statement 1 is true and statement 2 is false.

Calculation / Key Relation

PID: u=Kp e+Ki∫e dt+Kd de/dt

Exam Takeaway

D → transient/damping; I → steady-state accuracy.

Common Mistake

Do not say integral control has no steady-state benefit.

Common mistake

Do not say integral control has no steady-state benefit.

Exam tip

D → transient/damping; I → steady-state accuracy.

Quick method

D → transient/damping; I → steady-state accuracy.