Hi, I have entered the data of theory 3 of this article in MATLAB software. But LMIs are not feasible. Can anyone help me?
%without noise_Example1_Event-triggered H-infinity stabilization for singular systems with state delay
clc;clear all;
E=[1 0;0 0];A1=[0 0.4;1 -1];A2=[0.3 0;1 0];B=[1.2;1];C=[-0.3 0.1];D=0.4;tau=0.1;sigma=0.2;ro=1;
n=size(A1,1);m=rank(E);
%Theorem 3.
setlmis([]);
[P1,n1,sP1]=lmivar(1, [m 1]) ;
[P2, n2, sP2]=lmivar(2, [n-m m]);
[P3, n2, sP3]=lmivar(1, [n-m 1]);
[P,n1,sP]=lmivar(3,[sP1,zeros(m(1),n-m(1));sP2,sP3])
omega=lmivar(1,[2 1]);
Q=lmivar(1,[2 1]);
Z=lmivar(1,[2 1]);
X=lmivar(1,[2 1]);
Y=lmivar(2,[2 2]);
W=lmivar(2,[1 2]);
lmiterm([-1,1,1,Q],1,1);%Q>0
lmiterm([-2,1,1,Z],1,1);%Z>0
lmiterm([-3,1,1,omega],1,1);%Omega>0
lmiterm([-4,1,1,P1],1,1);%P1>0
lmiterm([-7,1,1,P3],1,1,'s');%P3+P3'>0
lmiterm([-5,1,1,X],1,1);%X>0
lmiterm([-5,1,2,Y],1,1);%Y>0
lmiterm([-5,2,2,-P],ro*E',E');%roE'P'E'>0
lmiterm([-5,2,2,P],ro*E,E);%roEPE>0
lmiterm([-5,2,2,-Z],-ro*ro*E',E);%-ro^2E'Z'E>0
lmiterm([6,1,1,P],A1,1,'s');%A1P+P'A1'
Hi, Sorry, I don't know how to work with MATLAB, I worked with Mathematica and not Matlab.
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