Consider a second-order process, where the transfer function is given by ... , where ... is the process time constant and ... is the damping coefficient. This Demonstration shows the response of this process when subject to a step input of amplitude ... (i.e., ... , where ... is the unit step function) or an impulse input of amplitude ... (i.e., ... , where ... is the Dirac delta function). The response is obtained by Laplace inversion using the Mathematica built-in function, ... . When ... , one gets an underdamped response with oscillatory behavior. Critically damped and overdamped systems result when ... and ... , respectively. For these last two cases, the response does not exhibit oscillations. A critically damped response returns to steady state faster than an overdamped response when the system is subject to an impulse input.


    Education Levels:


      EUN,LOM,LRE4,work-cmr-id:398511,http://demonstrations.wolfram.com:http://demonstrations.wolfram.com/StepAndImpulseResponseOfASecondOrderSystem/,ilox,learning resource exchange,LRE metadata application profile,LRE


      Access Privileges:

      Public - Available to anyone

      License Deed:

      Creative Commons Attribution 3.0


      This resource has not yet been aligned.
      Curriki Rating
      'NR' - This resource has not been rated
      'NR' - This resource has not been rated

      This resource has not yet been reviewed.

      Not Rated Yet.

      Non-profit Tax ID # 203478467