Routh–Hurwitz stability criterion

Discussion in 'Homework Help' started by xxxyyyba, Dec 5, 2015.

  1. xxxyyyba

    Thread Starter Member

    Aug 7, 2012
    249
    2
    I'm learning control theory and I have to solve one example from book.
    Using Routh criterium, test stability of system which has characteristic equation f(s)=s^{3}+(a+6)s^{2}+(5a+10)s+6a+3.
    Any idea?
    Thanks in advance.
     
  2. Papabravo

    Expert

    Feb 24, 2006
    10,144
    1,790
    Make the tableau, do the calculations, and you have your answer.
     
  3. xxxyyyba

    Thread Starter Member

    Aug 7, 2012
    249
    2
    Here is table and conditions for system to be stable:

    routh.png

    Is it ok?
     
  4. Papabravo

    Expert

    Feb 24, 2006
    10,144
    1,790
    Did the problem have any restrictions on the value of the parameter a?
     
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