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Please note that the recommended version of Scilab is 2025.0.0. This page might be outdated.
See the recommended documentation of this function
routh_t
Routh's table
Calling Sequence
r=routh_t(p) r=routh_t(h [,k])
Arguments
- p
a real polynomial
- h
a real SISO transfer system
- k
a real polynomial or a scalar
- r
a matrix
Description
r=routh_t(p)
computes Routh's table of the
polynomial h
.
r=routh_t(h,k)
computes Routh's table of
denominator of the system described by transfer matrix SISO
h
with the feedback by the gain
k
.
If k=poly(0,'k')
we will have a polynomial matrix
with dummy variable k
, formal expression of the Routh
table.
Examples
s=%s; P=5*s^3-10*s^2+7*s+20; routh_t(P) //transfer function with formal feedback routh_t((1+s)/P,poly(0,'k')) // One of the coefficients in the polynomial equals zero P1=2*s^3-24*s+32; routh_t(P1) // A row full of zeros P2=s^4-6*s^3+10*s^2-6*s+9; routh_t(P2)
Bibliography
http://controls.engin.umich.edu/wiki/index.php/RouthStability
http://www.jdotec.net/s3i/TD_Info/Routh/Routh.pdf
Comments on the Routh-Hurwitz criterion, Shamash, Y.,Automatic Control, IEEE T.A.C Volume 25, Issue 1, Feb 1980 Page(s): 132 - 133
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