Stabilize problem properties in controlsystem

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Discussion in 'Homework Help' started by Chrill3, Oct 12, 2011.

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  1. Oct 12, 2011 #1
    Chrill3

    Thread Starter New Member

    Mar 8, 2010
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    I have a characteristic equation that yields
    s^3+as^2+s+b=0
    I am supposed to determine the areas in ab-plane that correspond to a stabile system, I just dont know how to begin with, is it Ruth Hurwitz Iam supposed to use?, any hint is welcome:)
     
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  2. Oct 12, 2011 #2
    t_n_k

    AAC Fanatic!

    Mar 6, 2009
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    You can certainly use Routh-Hurwitz criterion. Presumably you are considering a linear time-invariant system.

    For your case

    s^3+as^2+s+b=0

    Two conditions must be met


    1. the coefficients of all terms on the LHS of the equation must be greater than zero. So in particular a and b must be greater than zero.
    2. a>b
     
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