Derivative and Integral Control Effects

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.