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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 [Se,R,T]=sensi(G,Sk,flag)
+ // [Se,R,T]=sensi(G,Sk) computes sensitivity functions
+ // If flag='o' or no flag:
+ // [Se;R;T]= [inv(eye+G*K);K*inv(eye+G*K);G*K*inv(eye+G*K)];
+ //
+ // flag='i'
+ // [Si,Ri,Ti]= [inv(eye+K*G);G*inv(eye+K*G);K*G*inv(eye+K*G)];
+ //!
+
+ [LHS,RHS]=argn(0);
+ if RHS==2 then flag="o";end
+ select flag
+ case "o"
+ G1=G(1);Sk1=Sk(1);
+ ssflag=0;
+ if G1(1)=="r" then G=tf2ss(G);ssflag=1;end
+ if Sk1(1)=="r" then Sk=tf2ss(Sk);ssflag=ssflag+1;end
+ [ny,nu]=size(G);Iu=eye(nu,nu);Iy=eye(ny,ny);
+ Ouy=zeros(nu,ny);Oyu=zeros(ny,nu);Ouu=zeros(nu,nu);
+ Oyy=zeros(ny,ny);
+ W1=[Iy,Oyu,Oyy;
+ Ouy,Iu,Ouy;
+ -Iy,Oyu,Iy;
+ Iy,Oyu,Oyy];
+ W2=[Iy,-G;
+ Ouy,Iu;
+ Iy,Oyu];
+ SRT=lft(W1*W2,Sk);
+ Se=SRT(1:ny,:);
+ R=SRT((ny+1):(ny+nu),:);
+ T=SRT((nu+ny+1):(nu+ny+ny),:);
+ if ssflag >0 then
+ Se=ss2tf(Se);R=ss2tf(R);T=ss2tf(T);
+ end
+ case "i"
+ G1=G(1);Sk1=Sk(1);
+ ssflag=0;
+ if G1(1)=="r" then G=tf2ss(G);ssflag=1;end
+ if Sk1(1)=="r" then Sk=tf2ss(Sk);ssflag=ssflag+1;end
+ [ny,nu]=size(G);Iu=eye(nu,nu);Iy=eye(ny,ny);
+ Ouy=zeros(nu,ny);Oyu=zeros(ny,nu);Ouu=zeros(nu,nu);
+ Oyy=zeros(ny,ny);
+ W1=[Iu,-Iu;
+ Oyu,Oyu;
+ Ouu,Iu;
+ Oyu,Oyu];
+ W2=[Ouy;Iy;Ouy;Iy];
+ W3=[Iu,-Iu];
+ P=W1+W2*G*W3;
+ SRT=lft(P,Sk);
+ Se=SRT(1:nu,:);
+ R=SRT((nu+1):(ny+nu),:);
+ T=SRT((nu+ny+1):(nu+ny+nu),:);
+ if ssflag >0 then
+ Se=ss2tf(Se);R=ss2tf(R);T=ss2tf(T);
+ end
+ end
+endfunction