[Ak,Bk,Ck,Dk]=kit; %Find the optimal H-infinity controller for fixed %D1(s), D2(s). load_system('ps10b_2') %This is a SIMULINK model which computes the %closed-loop dynamics of a modified block diagram %that can be used to find a new D1(s), D2(s) for a %given K(s). assignin('base','Ak',Ak); %give the the SIMULINK model the controller assignin('base','Bk',Bk); %parameters! assignin('base','Ck',Ck); assignin('base','Dk',Dk); [A,B,C,D]=linmodv5('ps10b_2'); %closed-loop state-space description m=size(A); n=m(1); C1=C(1,:); %Define Ci, Di for each output yi, i=1...8 C2=C(2,:); C3=C(3,:); C4=C(4,:); C5=C(5,:); C6=C(6,:); C7=C(7,:); C8=C(8,:); D1=D(1,:); D2=D(2,:); D3=D(3,:); D4=D(4,:); D5=D(5,:); D6=D(6,:); D7=D(7,:); D8=D(8,:); abst_init_lmi a1=symmetric; %a1,b1 are related to coeffs of numerator of D1(s), a2,b2 are a2=symmetric; %related to coeffs of numerator of D2(s) b1=symmetric; b2=symmetric; gamma=symmetric; P=symmetric(n); a1>0; a2>0; b1>0; b2>0; I=eye(2); J=%%%%%%%%%%%FILL IN HERE%%%%%%%%%%%%%%%%%% K=%%%%%%%%%%%FILL IN HERE%%%%%%%%%%%%%%%%%% L=%%%%%%%%%%%FILL IN HERE%%%%%%%%%%%%%%%%%% [J K;K' L]>0; lmi_mincx_tbx(%%%%%%%%%%%%%FILL IN HERE%%%%%%%%%%%%%%%%%) a1opt=value(a1) a2opt=value(a2) b1opt=value(b1) b2opt=value(b2) gammaopt=value(gamma) %Now, using the values of a1opt,b1opt,a2opt,b2opt, compute the new D1(s), %D2(s). Plug these into the SIMULINK model ps10b_3.mdl to check the Hinfinity %norm.