MATLAB: Define functional bounds in FMINCON optimization

Question

Hello

I'm using FMINCON and I would like to define a lower and upper bound for the variables on the basis of a certain function.

For example,in a 2D optimization, if I want my points being in a circle, I would like to define the x(1)^2 + x(2)^2 = r equation and then to use this equation as bound.

Is it possilbe and, eventually, how could I do that?

Thanks for supporting

Simone

Answer 1

Define them as nonlinear constraint function:

https://de.mathworks.com/help/optim/ug/fmincon.html?s_tid=doc_ta#busog7r-nonlcon

https://de.mathworks.com/help/optim/ug/nonlinear-constraints.html