Question

Arrange correct sequence of time domain specifications of a second order system in ascending order of values: A. Rise time B. Settling time C. Delay time D. Peak time

• A. B, D, A, C
• B. C, D, A, B
• C. C, A, D, B
• D. C, A, D, B

Hint:

Order: Delay < Rise < Peak < Settling.

Answer 1

The Correct Option is C

Concept: Time domain specifications for second-order systems follow a general order:
• Delay time ($t_d$)
• Rise time ($t_r$)
• Peak time ($t_p$)
• Settling time ($t_s$)

Step 1: Understand each parameter
• Delay time: Time to reach 50% of final value → smallest
• Rise time: Time to go from 10% to 90% → larger than delay
• Peak time: Time to reach maximum overshoot
• Settling time: Time to remain within tolerance band → largest

Step 2: Arrange \[ t_d < t_r < t_p < t_s \] \[ C \rightarrow A \rightarrow D \rightarrow B \] \[ \therefore \text{Correct answer is (C)} \]