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//
// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) ????-2008 - INRIA
//
// This file is distributed under the same license as the Scilab package.
//
function demo_mixed()
mode(-1)
lines(0);
//display the diagram
x=[5,10,20,40,50,70,80,90];xmin=-10;xmax=100;
y=[22,28,30,32];ymin=12;ymax=40;
xx=[xmin,xmin,x([1 2 2 7 4 6 3 4 5 6 3 3 5 5]);xmax,xmax,x([3,2,7,7,5,8,3,4,5,6,4,4,6,6])];
yy=[ymin,ymax,y([3,1,1,1,3,3,2,2,2,2,2,4,2,4]);ymin,ymax,y([3,3,1,3,3,3,4,4,4,4,2,4,2,4])];
scf(100001);clf();show_window();
plot2d(xx,yy,ones(1,16),'022');
xstring(28,30,'K');xstring(56,30,'Plant');xstring(12,28.80,'-');
xtitle('PLANT and CONTROLLER')
mode(2)
path=get_absolute_file_path('mixed.dem');
messagebox(['Mixed Sensitivity Controller Design';
'file: '+path+'mixed.dem'],"modal");
mode(1)
s=poly(0,'s');
str='[(s-1)/((s-1)^2*(s+2))]';
rep=x_dialog('Nominal plant?',str)
if rep==[] then return,end
Plant=evstr(rep);Plant=syslin('c',Plant);
//Nominal Plant
P22=tf2ss(Plant); //...in state-space form
[ny,nu,nx]=size(P22);
[Pms,r]=augment(P22);
txt=['W1 (sensitivity function S)';'W2 (K*S)';'W3 (complementary sensitivity T)'];
default=['s';'1';'1'];
while %t
rep=x_mdialog('Set weighting functions',txt,default);
if rep==[] then return;end
W1=evstr(rep(1));W2=evstr(rep(2));W3=evstr(rep(3));
default=rep;
Pms=sysdiag(W1,W2,W3,eye(P22))*Pms;
gms=['gamma min= ';'gamma max= ';'# iterations'];
vals=['0.01';'1000';'50'];
reps=x_mdialog('Set interval for gamma and #iterations',gms,vals);
if reps==[] then return;end
mumin=1/evstr(reps(2))^2;
mumax=1/evstr(reps(1))^2;
iter=evstr(reps(3));
[K,mu]=h_inf(Pms,r,mumin,mumax,iter);
if K~=[] then break;end
end
disp(spec(h_cl(Pms,r,K)),'closed loop eigenvalues') //Check internal stability
[Ssens,Rsens,Tsens]=sensi(P22,K); //Sensitivity functions
messagebox('Singular values plot',"modal");
fcts=['S function';'R (=K*S) function';'T function'];
www=x_mdialog('Select sensitivity function',fcts,['Yes';'No';'Yes']);
if www==[] then return,end
ww1=part(www(1),1)=='Y';
if ww1 then
scf(100002);clf();show_window();
gainplot(Ssens);
xtitle('S = Sensitivity function');
end
ww2=part(www(2),1)=='Y';
if ww2 then
scf(100003);clf();show_window();
gainplot(Rsens);
xtitle('R (=G*S) Sensitivity function');
end
ww3=part(www(3),1)=='Y';
if ww3 then
scf(100004);clf();show_window();
gainplot(Tsens);
xtitle('T = Complementary Sensitivity function');
end
endfunction
demo_mixed();
clear demo_mixed;
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