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authorShashank2017-05-29 12:40:26 +0530
committerShashank2017-05-29 12:40:26 +0530
commit0345245e860375a32c9a437c4a9d9cae807134e9 (patch)
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+// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+// Copyright (C) 2010 - 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 [sl]=tf2ss(h,tol)
+ // Transfer function to state-space.
+ //Syntax : sl=tf2ss(h [,tol])
+ // h = transfer matrix
+ // sl = linear system in state-space representation (syslin list)
+ //!
+
+ [lhs,rhs]=argn(0)
+
+ if type(h)<=2 then
+ sl=syslin([],[],[],[],h);
+ return;
+ end
+ [num,den]=h(["num","den"]);
+ //
+ [nd,md]=size(den)
+ a=[];b=[];c=[];d=[];n1=0; // s=[]
+ for k=1:md
+ for l=1:nd
+ [r,q]=pdiv(num(l,k),den(l,k));
+ dk(l)=q;
+ num(l,k)=r;
+ end
+ if nd<>1 then
+ [nk,pp]=cmndred(num(:,k),den(:,k));
+ else
+ pp=den(k);nk=num(k);
+ end;
+
+ slk=cont_frm(nk,pp);
+ [ak,bk,ck,dk1]=slk(2:5);
+ // [s sk]
+ [n2,m2]=size(bk);
+ if n2<>0 then
+ a(n1+1:n1+n2,n1+1:n1+n2)=ak;
+ b(n1+1:n1+n2,k)=bk;
+ c=[c ck];
+ n1=n1+n2;
+ else
+ if n1<>0 then b(n1,k)=0;end
+ end;
+ d=[d dk];
+ end;
+
+ if degree(d)==0 then d=coeff(d),end
+
+ if n1<>0 then
+ nrmb=norm(b,1);
+ nrmc=norm(c,1);
+ fact=sqrt(nrmc*nrmb);
+ b=b*fact/nrmb;
+ c=c*fact/nrmc;
+ atmp=a;
+ [a,u]=balanc(a);
+ //next lines commented out to fix bug 3796
+ // if rcond(u)< %eps*n1*n1*100
+ // nn=size(a,1);u=eye(nn,nn);a=atmp;
+ // end
+
+ //apply transformation u without matrix inversion
+ [k,l]=find(u<>0) //get the permutation
+ u=u(k,l);c=c(:,k)*u; b=diag(1 ./diag(u))*b(k,:);
+
+ if rhs<2 then
+ [no,u]=contr(a',c',%eps);
+ else
+ [no,u]=contr(a',c',tol);
+ end
+ u=u(:,1:no);
+ a=u'*a*u;b=u'*b;c=c*u;
+ sl=syslin(h("dt"),a,b,c,d);
+ else
+ sl=syslin(h("dt"),[],[],[],d)
+ end
+endfunction