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authorShashank2017-05-29 12:40:26 +0530
committerShashank2017-05-29 12:40:26 +0530
commit0345245e860375a32c9a437c4a9d9cae807134e9 (patch)
treead51ecbfa7bcd3cc5f09834f1bb8c08feaa526a4 /modules/cacsd/macros/minss.sci
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+// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+// Copyright (C) INRIA -
+//
+// 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 Slmin=minss(Sl,tol)
+
+ [lhs,rhs]=argn(0)
+
+ if typeof(Sl)<>"state-space" then
+ error(msprintf(gettext("%s: Wrong type for input argument #%d: State-space form expected.\n"),"minss",1));
+ end
+
+ [a,b,c,d,x0,dom]=Sl(2:7)
+ //observability
+ if rhs<2 then tol=1.d-10*norm([a;c],1),end
+ [nc,u1]=contr(a',c',tol)
+ u=u1(:,1:nc)
+ c=c*u;a=u'*a*u;b=u'*b,x0=u'*x0;
+
+ //controllability
+ if rhs<2 then tol=1.d-10*norm([a,b],1),end
+ [no,u2]=contr(a,b,tol)
+ u=u2(:,1:no)
+ a=u'*a*u;b=u'*b;c=c*u
+
+ //form the result
+ Slmin=syslin(dom,a,b,c,d,u'*x0)
+ //Would be nice to return U=U1*U2
+endfunction