How to solve this linear matrix inequality?

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msh jgtu 2020-4-16

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/518384-how-to-solve-this-linear-matrix-inequality

评论： Ashik Rahman 2021-12-21

I tried to solve this LMI but the result isn't as expected, i don't know if the code is completely correct.I want to find F, here is my code

% Model parameters of example 8 page 44
global A; global B;
A1=[1 -.5;1 0]; B1=[1;1];
A2=[-1 -.5;1 0]; B2=[-2;1];
% Calculus of P, F1, F2.
setlmis([]);
M1=lmivar(2,[1 2]) ;
M2=lmivar(2,[1 2]) ;
X=lmivar(1,[2 1]) ;
%LMI 1,2
lmiterm([1 1 1 X],1,A1','s');
lmiterm([1 1 1 M1],B1,-1,'s');
lmiterm([2 1 1 X],1,A2','s');
lmiterm([2 1 1 M2],B2,-1,'s');
%__________
lmiterm([3 1 1 X],1,A1','s');
lmiterm([3 1 1 X],1,A2','s');
%_________
lmiterm([3 1 1 M1],B2,-1,'s');
lmiterm([3 1 1 M2],B1,-1,'s');
lmiterm([4 1 1 X],1,-1);
lmis=getlmis;
[tmin,xfeas]=feasp(lmis)
m1=dec2mat(lmis,xfeas,M1)
 m2=dec2mat(lmis,xfeas,M2)
 x=dec2mat(lmis,xfeas,X)
P=inv(x)
F1=m1*P
F2=m2*P