define nonlcon in fmincon

Hey,

I am trying to finc the minimum of a 4 variable equation using fmincon. Looking at the solution fmincon presents and saw that I gorgot to implement some nonlinear side conditions.

Normly those would be implemented via "nonlcon".

So I am not sure since I have noot found anything about tht in a documentary:

-how many nonlcon can I implement? Just 1? I would need 4...

- would those be implemented by

x = fmincon(@myfun,x0,A,b,Aeq,beq,lb,ub,@mycon1,@mycon2,..)

or like

x = fmincon(@myfun,x0,A,b,Aeq,beq,lb,ub,@mycon)

where @mycon is a normal function with 4 outputs like

function [c1,c2,c3,c4] = mycon(x)
c1 = nonlinearfunction1     % Compute nonlinear inequalities at x.
c2
c3
c4
end

Last but not least.

inequalities in the conditions have always the form <=. So if c1 needs to be c1>=0 at x i would just write it as

c1=(theoretical max of nonlinearfunction1)-nonlinearfunction1

?

Many thanks in advance and best regards

Answer 1

[Catalytic]

function [c, ceq] = mycon(x)

ceq=[];

c(1) = -nonlinearfunction1     % Compute nonlinear inequalities at x.
c(2)
c(3)
c(4)
end