Error using fmincon MATLAB function in simulink

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Hallo everyone,
I have this optimisation code which is simply maximize the volume of a cube within a surface are does not exceel 10 cm. but I have to run it in Simulink using MATLAB function block (as in the fig). there are two errors:
1- if i run the code as shown below: FMINCON requires 10 input arguments. Must set option Algorithm to 'sqp' and pass to solver.
2-if add coder.extrinsic('fmincon') below function y = fcn(x): Function handles cannot be passed to extrinsic functions.
Thanks in adevance
function y = fcn(x)
% L_G=1;
% W_G=1;
% H_G=1;
% X0=[ L_G W_G H_G 5 6 ]
X0=[x];
xopt=fmincon(@objective,X0,[],[],[],[],[],[],@contraints)
v=calcvolume(xopt)
a=area_surf(xopt)
function volume= calcvolume(x)
L=x(1);
W=x(2);
H=x(3);
volume= L*W*H
end
function surface= area_surf(x)
L=x(1);
W=x(2);
H=x(3);
surface = 2*L*H + 2*L*W + 2*W*H;
end
function obj =objective(x)
obj=-calcvolume(x)
end
function [c, ceq]= contraints(x)
c=area_surf(x)-10
ceq=[];
end

Accepted Answer

Jesús Zambrano
Jesús Zambrano on 6 Jan 2021
Edited: Jesús Zambrano on 6 Jan 2021
Hi Ayman,
Could you try the following:
function [v,a] = fcn(x)
myopts = optimoptions('fmincon','Algorithm','sqp');
xopt=fmincon(@objective,X0,[],[],[],[],[],[],@(x) contraints(x),myopts);
v=calcvolume(xopt);
a=area_surf(xopt);
I just specified v and a as the two outputs of the fcn function. Then, I used optimoptons command to create/modify optimization options and applied it to the fmincon. I got a=10 and v= 2.1517. See image enclosed.
Hope it helps!

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