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function [txtdo]=lmidem(PROBNAME,XNAME,DNAME)
// Copyright INRIA
[LHS,RHS]=argn(0);
txtdo=[]
if RHS ~=3 then
PROBNAME1='foo';
XNAME1='X1,X2,...';
DNAME1='D1,D2,...';
if RHS==1 then
tt=read(PROBNAME,-1,1,'(a)');
tt=stripblanks(tt);
mat=str2vec(tt);
[q1,p1]=find(mat'=='[');
[q2,p2]=find(mat'==']');
XNAME1=mat(p1(1),q1(1)+1:q2(1)-1);
XNAME1=strcat(XNAME1);
[q1,p1]=find(mat'=='(');
[q2,p2]=find(mat'==')');
DNAME1=mat(p1(1),q1(1)+1:q2(1)-1);
DNAME1=strcat(DNAME1);
[q2,p2]=find(mat'=='=');
PROBNAME1=mat(p2(1),q2(1)+1:q1(1)-1);
PROBNAME1=strcat(PROBNAME1);
end
labels=['LMI problem name: ';'Names of unknown matrices: ';...
'Names of data matrices: '];
// [ok,PROBNAME,XNAME,DNAME]=getvalue(['Problem definition';
// 'LMITOOL will generate for you a skeleton of the functions needed';
// ' (see User''s Guide for details). For that, you need to specify:';
// '1- Name of you problem which will be given to the solver function,';
// '2- Names of unknown matrices or list of unknown matrices,';
// '3- Names of data matrices or list of data matrices.'],labels,...
// list('str',1,'str',1,'str',1),...
// [PROBNAME1+' ',XNAME1+' ',DNAME1+' ']);
ok=%t
PROBNAME=PROBNAME1;XNAME=XNAME1;DNAME=DNAME1;
if ok==%f then
txtdo='Try again';return;
end
end
// PROBNAME=stripblanks(PROBNAME);
// XNAME=stripblanks(XNAME);
// DNAME=stripblanks(DNAME);
pathname=getcwd();
fname = pathname+'/'+PROBNAME+'.sci';
txt0='function ['+XNAME+']='+PROBNAME+'('+DNAME+')'
txt0=[txt0;'/'+'/ Generated by lmitool on ';' '];
txt0=[txt0;
' Mbound = 1e3;';
' abstol = 1e-10;';
' nu = 10;';
' maxiters = 100;';
' reltol = 1e-10;';
' options=[Mbound,abstol,nu,maxiters,reltol];'
' ']
nv=length(XNAME);
index_commas=[];
for k=1:nv
if part(XNAME,k)==',' then index_commas=[index_commas,k],end
end
vnum = length(index_commas)+1;
index_commas = [0 index_commas length(XNAME)+1];
txt1=[];txt2=[];
for i = 1:vnum,
vname = part(XNAME,index_commas(i)+1:index_commas(i+1)-1);
if RHS<>1 then
txt1 = [txt1;
vname+'_init=...']
end
txt2=[txt2,vname+'_init'];
end
txts1=['function [LME,LMI,OBJ]='+PROBNAME+'_eval(XLIST)';
'['+XNAME+']=XLIST(:)']
if RHS ~= 1 then
txts2=['LME=...';'LMI=...';'OBJ=...']
else
[p,q]=size(mat);
ind=[]
for i=1:p
if mat(i,2:7)==['/','/','/','/','/','/'] then
ind=[ind i];
end
end
if prod(size(ind))<>4 then
error('File not generated by lmitool or badly modified');
end
txt1=[];
for i=ind(1)+1:ind(2)-1
txt1=[txt1;strcat(mat(i,:))];
end
txts2=[];
for i=ind(4)+1:p
txts2=[txts2;strcat(mat(i,:))];
end
end
sep11=['/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'...
+'/'+'INITIAL GUESS']
sep12=['/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'...
+'/'+' ']
sep13=['/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'...
+'/'+'LME, LMI and OBJ']
sep2=['/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'...
+'/'+'EVALUATION FUNCTION'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/']
txt2=[
'XLIST0=list('+strcat(txt2,',')+')';
'XLIST=lmisolver(XLIST0,'+PROBNAME+'_eval,options)';
'['+XNAME+']=XLIST(:)'];
txt4=[txt0;sep11;txt1;sep12;' ';txt2;' ';' ';' ';...
sep2;' ';txts1;' ';sep13;txts2];
if RHS==0|RHS==1 then
select %demo_
case 1
txtdem=['The problem is here:';
'Minimize gama under the constraints:'
' X''-X = 0';
' and '
'[A X + X A'''+', B, X C'']';
'[ B'''+', -gama I, D'']';
'[C X, D, -gama I] < 0';
' ';
'This problem is solved by the function below (do not edit)'
]
case 2
txtdem=['The problem is here:';
'Minimize trace(P+Q) under the constraints:'
' P''-P = 0';
' Q''-Q = 0';
' and '
' NB'' (A Q + Q A'' + Q) NB < 0';
' NC'' (A P + P A'' + P) NC < 0';
' [P I; I Q] > 0'
' where NB=kernel(B) and NC=kernel(C'')'
' ';
'This problem is solved by the function below (do not edit)'
]
case 3
txtdem=['The problem is here:';
'Find X such that A*X+X*B-C (continuous time)'
'or Find X such that A*X*B-C (discrete time)'
]
end
[txt4]=x_dialog(txtdem,[txt4]);
end
if txt4==[] then txtdo='Try again';return;end
txt=[txt4];
n=1;
function [vec]=str2vec(str)
w=length(str);
[p,q]=size(w);ma=max(w);
vec=[];
for i=1:ma
vec=[vec part(str,i)]
end
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