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cugbwangyang

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[ÇóÖú] LMI¹¤¾ßÏä±à³ÌÇóÖú

±¾È˳õѧMATLABµÄLMI¹¤¾ßÏ䣬ÇëÎÊÄÄλ´óÉñÖ¸µ¼ÏÂÃæµÄ³ÌÐòΪʲôûÓнâÄØ£¿ÊDZà³Ì³öÎÊÌâÁËÂð£¿Õâ¸öÊÇһƪÎÄÕÂÀïµÄÀý×Ó£¬Ó¦¸ÃÊÇÓнâµÄ°¡¡£Ð»Ð»´ó¼ÒÁË£¡

A1=[0 1.0000 0 0; 1.9600 0 -0.4000 -0.6000; 0 0 0 1.0000; 1.9600 0 -2.4000 -3.6000];
A2=[0 1.0000 0 0; 0 0 -0.4000 -0.6000; 0 0 0 1.0000; 0 0 -2.4000 -3.6000];
B1=[0; 0; 0; -1];
B2=[0; 0; 0; -1];

x1=[1.0000 0 0 0]';

setlmis([]);%³õʼ»¯
%¶¨Ò徨Õó±äÁ¿
X=lmivar(2,[4,4]);
M1=lmivar(2,[1,4]);
M2=lmivar(2,[1,4]);
K1=lmivar(2,[1,4]);
K2=lmivar(2,[1,4]);
P=lmivar(2,[4,4]);

%ÃèÊöµÚÒ»¸ö¾ØÕó
lmiterm([1 1 1 X],A1,1,'s');
lmiterm([1 1 1 M1],B1,1,'s');
%ÃèÊöµÚ¶þ¸ö¾ØÕó
lmiterm([2 1 1 X],A2,1,'s');
lmiterm([2 1 1 M2],B2,1,'s');
%ÃèÊöµÚÈý¸ö¾ØÕó
lmiterm([3 1 1 X],A1,1,'s');
lmiterm([3 1 1 M2],B1,1,'s');   
lmiterm([3 1 1 X],A2,1,'s');
lmiterm([3 1 1 M1],B2,1,'s');

lmisys=getlmis;
[r,xfeas]=gevp(lmisys,3,[0, 0, 0, 0, 1]);
X=dec2mat(lmisys, xfeas, X);
M1=dec2mat(lmisys, xfeas, M1);
M2=dec2mat(lmisys, xfeas, M2);
P=inv(X);
K1=M1*P;
K2=M2*P;
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