Test Stability using Routh Stability Method

  • Thread starter mym786
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  • #1
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Homework Statement



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


Homework Equations



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

The Attempt at a Solution



Exam question i messed up . I really need to know the answer.
 

Answers and Replies

  • #2
CEL
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Homework Statement



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


Homework Equations



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

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.
 
  • #3
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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.
 

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