ISE and ITAE Criteria

Correct Answer

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

Statement-wise Analysis

Statement 1: False

Statement 2: True

Concept and Reasoning

ISE squares the error and therefore penalizes large errors strongly; it is not specifically preferred because the error is very small. ITAE multiplies absolute error by time, so errors that persist for a long time receive a large penalty. Thus statement 1 is false and statement 2 is true.

Calculation / Key Relation

ISE=∫e²(t)dt

ITAE=∫t|e(t)|dt

Exam Takeaway

ISE emphasizes magnitude; ITAE emphasizes late/persistent error.

Common Mistake

Do not treat every integral performance index as equivalent.