Questions tagged [routh]

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Ziegler Nichols for second order transfer function

I have a second order overdamped transfer function as follows - $$ \frac{1}{(70s+1)(50s+1)} $$ and now I want to use a PID controller and tune it using Ziegler-Nichols. I have worked with Ziegler ...
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Parameter range to ensure stability using Routh Criterion

I have a question regarding Routh Stability for a characteristic equation of the form, $$ 2S^4 + 2S^3 + 4S^2 + (k+1)S + 4 = 0 $$ I need to find the range of K for which the system will be stable. ...
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Root locus vs routh hurwitz criteria?

What is the difference between root locus and routh hurwitz criteria? As according to layman knowledge, both techniques are used somehow to determine
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Effect of zero coefficient in polynomial in Routh Hurwitz?

Consider this polynomial: \$s^4+2s^3+3s^2+4s+5\$ What happens if we have zero in place of any coefficient in our polynomial? Will that indicate that the system is unstable? Let say we have zero ...