Would CVX be appropriate for my problem?

Hello everyone. Currently, my problem is to implement a controller (computed through SDP) in real-time target hardware.
I had the controller programmed with Yalmip and SeDuMi, however, the Simulink cannot compile it. Even using the Lmilab, with extrinsic functions, it is not possible to compile.
Lately, the CVX was recommended for me, but I am not sure if it can compile the controller in C and SDP solver for the real-time application.

Thanks in advance,

You should not expect to be able to compile anything developed in CVX.