Register to reply

Test Stability using Routh Stability Method

by mym786
Tags: method, routh, stability, test
Share this thread:
mym786
#1
Jul17-11, 02:06 AM
P: 11
1. The problem statement, all variables and given/known data

For a control system that has G(s)H(s) = [itex]\frac{1}{s^{2}*(s+\alpha)}[/itex]


2. Relevant equations

1 + G(s)H(s) = 0

3. The attempt at a solution

Exam question i messed up . I really need to know the answer.
Phys.Org News Partner Science news on Phys.org
Flapping baby birds give clues to origin of flight
Prions can trigger 'stuck' wine fermentations, researchers find
Socially-assistive robots help kids with autism learn by providing personalized prompts
CEL
#2
Jul18-11, 01:28 PM
P: 639
Quote Quote by mym786 View Post
1. The problem statement, all variables and given/known data

For a control system that has G(s)H(s) = [itex]\frac{1}{s^{2}*(s+\alpha)}[/itex]


2. Relevant equations

1 + G(s)H(s) = 0

3. The attempt at a solution

Exam question i messed up . I really need to know the answer.
i + G(s)H(s) = 0 means:
[tex]s^3+\alpha s^2 + 1 = 0[/tex]
Since the polynomial is incomplete (there is no term in [tex]s^1[/tex]) there is at least one root in the RHP and the system is unstable. No need to use Routh algorithm.
mym786
#3
Jul19-11, 01:05 AM
P: 11
I forgot one more thing. It also says find the value of [itex]\alpha[/itex] for which the system can be classified in the critically stable state.


Register to reply

Related Discussions
To test the stability of a reference electrode in a 3 electrode setup Chemistry 0
Stability conditions for finite difference method to solve coupled equations Differential Equations 0
Stability of polynomials, what does it practiacallly imply and hurwitz-routh & more Engineering, Comp Sci, & Technology Homework 2
Electrochemistry: Stability test of reference electrode Chemistry 5
Routh stability test question. Electrical Engineering 7