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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) 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 Sli=invrs(Sl,alfa);
+ // Sli=invrs(Sl,alfa) computes Sli, the PSSD
+ // inverse of PSSD Sl.
+ //!
+ if typeof(Sl)<>"state-space" then
+ error(msprintf(gettext("%s: Wrong type for input argument #%d: Linear state space expected.\n"),"invrs",1))
+ end
+
+ D=Sl.D;
+ if type(D)==2 then
+ s=poly(0,varn(D));
+ Sl.D=horner(Sl.D,s+alfa);
+ end
+ Sl.A=Sl.A-alfa*eye(Sl.A); //Slnew(s)=Slold(s+alfa)
+
+ [Sreg,Wss]=rowregul(Sl,0,0);
+ if rcond(Sreg.D) >1.d-6 then
+ Sli=invsyslin(Sreg)*Wss;
+ else
+ error(msprintf(gettext("%s: Square but singular system.\n"),"invrs"));
+ end
+ [Q,M]=pbig(Sli.A,0.001,"d");
+ Sli=projsl(Sli,Q,M);//Remove poles at zero.
+
+ if Sli.A~=[] then Sli.A=Sli.A+alfa*eye();end
+ if type(Sli.D)==2 then
+ Sli.D=horner(Sli.D,s-alfa);
+ end
+endfunction