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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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 ...