## Trending News

# Using the Routh-Hurwitz Criterion, test the stability conditions of the following closed-loop systems.?

Using the Routh-Hurwitz Criterion, test the stability conditions of the following closed-loop systems in (a), (b), and (c) indicating how many poles in the RHP, LHP, and on the jω-axis?

These are the equations within each of those closed loop sytems.

a. 3/(S(S+1)(S+2))

b. 7/ ( S(S+1)(S+2))

c. 1000/((S+2)(S+3)(S+5))

### 2 Answers

- 9 years agoFavorite Answer
a & b. The system is marginally stable.It has all roots to the Left side of the real axis, but one on the jω axis, so it will be stable if the zero is placed intentionally.

c. The system is stable.All roots are on the LHS of the real axis!!

Source(s): Automatic Control Systems - B.C. Kuo & Farid Golnaraghi http://books.google.co.in/books?id=_txWwGvjeE8C&pr...- Login to reply the answers

- demouraLv 43 years ago
in case you be attentive to the function equation, you ought to use the Routh-Horwitz stability criterion to make certain if the device is reliable. it won't show you how to be attentive to something approximately earnings and area margin.

- Login to reply the answers