LTI 1st order system Response Time

Discussion in 'Homework Help' started by Musab, Oct 29, 2010.

  1. Musab

    Thread Starter Member

    Sep 20, 2008
    25
    0
    Hello,

    For a LTI first order system, the transfer function is H(s)= 1/(s+a).
    Determine wither the system response time will increase or decrease, when the pole is moved further away from the origin.

    Attempt:
    the constant a is the inverse of the settling time. so as a is increased, the system respond quicker.
    The pole of the system is jw= - a. Therefore as a is increased, the pole is moved away from the origin (assuming is +ve), and the system respond quicker.


    Is my answer correct ?


    Thanks,
     
  2. Georacer

    Moderator

    Nov 25, 2009
    5,142
    1,266
    The distance alone cannot tell us about the system responce. If the pole is a=r+jw the response time is dependant on r alone. The more negative r is the faster the system is. But if r is positive then the system is driven in instability and will never settle.
     
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