Can you draw and describe the response to a step input of a second order system that has a damping coefficient of 0.7 (optimally-damped)?

Optimal Damping
(Damping Coefficient (ζ) = 0.64-0.71)
  • The most suitable combination of a rapid response to a change in the input value, with minimal overshoot
  • The response is fairly rapid with no more than two oscillations around the baseline before attaining the new value
  • This is the level of damping that is desirable in modern measuring systems