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author | Shashank | 2017-05-29 12:40:26 +0530 |
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committer | Shashank | 2017-05-29 12:40:26 +0530 |
commit | 0345245e860375a32c9a437c4a9d9cae807134e9 (patch) | |
tree | ad51ecbfa7bcd3cc5f09834f1bb8c08feaa526a4 /modules/cacsd/macros/krac2.sci | |
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-rwxr-xr-x | modules/cacsd/macros/krac2.sci | 41 |
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diff --git a/modules/cacsd/macros/krac2.sci b/modules/cacsd/macros/krac2.sci new file mode 100755 index 000000000..2053329c9 --- /dev/null +++ b/modules/cacsd/macros/krac2.sci @@ -0,0 +1,41 @@ +// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +// Copyright (C) INRIA - Serge Steer +// +// This file must be used under the terms of the CeCILL. +// This source file is licensed as described in the file COPYING, which +// you should have received as part of this distribution. The terms +// are also available at +// http://www.cecill.info/licences/Licence_CeCILL_V2.1-en.txt + +function [kp,s]=krac2(sys) + //The denominator of the closed loop system is den(s)+K*num(s). So the + // the closed loops poles verify K(s)=-den(s)/num(s) + //The real axis breakaway points occurs at the extrema of the K(s) + // so at the point where K'=dK/ds = 0 + // K'=-(den'*num-den*num')/num^2 + // K'= 0 --> den'*num-den*num'=0 + // http://www.scribd.com/doc/21374148/An-Introduction-to-Control-Systems + select typeof(sys) + case "rational" then + case "state-space" then + sys=ss2tf(sys); + else + error(msprintf(gettext("%s: Wrong type for input argument #%d: Linear state space or a transfer function expected.\n"),"krac2",1)) + end + if size(sys,"*")<>1 then + error(msprintf(gettext("%s: Wrong size for input argument #%d: Single input, single output system expected.\n"),"krac2",1)) + end + num=sys.num + den=sys.den + s=roots(derivat(num)*den-derivat(den)*num,"e") + //collect the real roots only + i=find(abs(imag(s))<=10*%eps) + if i==[] then kp=[],s=[];return,end + s=s(i)'; + s=s(horner(num,s)<>0); + + kp=-real(freq(den,num,real(s))); + i=find(kp>=0); + kp=kp(i) + s=s(i) +endfunction |