TIME RESPONSE OF SECOND ORDER SYSTEM

Question 1

Write down formula for Second order system

Answer 1

C(s)/R(s) = (ω^2) / (s^2+ 2ζωs+ ω^2)

C(s)/R(s) –> Output / Input
ω –> Natural Frequency
ζ –> Damping factor

Question 2

Write down the Characteristic equation

Answer 2

s^2 + ζωs + ω^2

Question 3

Explain Rise time and write it’s equation.

Answer 3

It is time required for the response to rise from 10% to 90% of its final value for over-damped systems and 0 to 100% for under-damped systems.