Can you draw and describe the response to a step input of a second order system that has a damping coefficient of >1 (over-damped)?

Over Damping
(Damping Coefficient (ζ) > 1)
  • The system response is overly blunted in response to a step change in the input value, leading to inaccuracy
  • This time the curve falls extremely slowly towards the new value
  • Given enough time, it will reach the baseline with no overshoot but clearly this type of response is unsuitable for measurement of a rapidly changing variable such as blood pressure