# How can I translate the YALMIP expression to LMILAB expression?

1 vue (au cours des 30 derniers jours)
Robert Ungi le 20 Août 2015
I have the following optimization problem implemented by the use of the YALMIP library:
R11 = sdpvar(n_p, n_p);
S11 = sdpvar(n_cl/2, n_cl/2);
S12 = sdpvar(n_cl/2, n_cl/2);
S22 = sdpvar(n_cl/2, n_cl/2);
S = [S11 S12; S12' S22];
gamma=sdpvar(1);
% Positovity
constr = [R11 > 0, S > 0, R11 - S11 > 0];
% Open loop condition
M = [R11*Ap'+Ap*R11 Bpw R11*Cpz';
Bpw' -gamma*eye(size(Bpw)) Dpzw';
Cpz*R11 Dpzw -gamma*eye(size(Dpzw))]
constr = [constr, M < 0];
% Closed loop condition
M = [S*Acl'+Acl*S Bclw S*Cclz';
Bclw' -gamma*eye(size(Bclw',1)) Dclzw';
Cclz*S Dclzw -gamma*eye(size(Dclzw'))]
I would like to compare the solution by using the tools provided MATLAB (LMILAB), however I am stucked with the first step:
What is the equivalent expression for this:
S = [S11 S12; S12' S22];
gamma=sdpvar(1);
% Positovity
constr = [R11 > 0, S > 0, R11 - S11 > 0];
Should `S` be declared as a new lmi variable?
So far I started with this
setlmis([]);
R11=lmivar(1,[n_p, 1]);
S11=lmivar(1,[n_cl/2, 1]);
S12=lmivar(1,[n_cl/2, 1]);
S22=lmivar(1,[n_cl/2, 1]);
S=lmivar(1,[n_cl, 1]);
gamma=lmivar(1,[1, 0]);
lmiterm([-1 1 1 R11],1,1);
lmiterm([-2 1 1 S],1,1);
lmiterm([-3 1 1 R11],1,1);
lmiterm([-3 1 1 S11],1,-1);
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