Routh–Hurwitz stability criterion

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

Aug 7, 2012
265
5
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?

2. Papabravo Expert

Feb 24, 2006
10,694
1,983

Aug 7, 2012
265
5
Here is table and conditions for system to be stable:

Is it ok?

4. Papabravo Expert

Feb 24, 2006
10,694
1,983
Did the problem have any restrictions on the value of the parameter a?