Iterative learning - Simulink

The figure shows a conceptual block diagram of an iterative learning algorithm, for the k'th iteration.

The process model is a dynamic Simulink model with simulation time t, from 0 to T.

I want to find the value such that output from the process model is equal to .

What are the recommended methods to implement the iterative learning in Simulink ?

I know that it is possible to do this by running the process model multiple times in a for-loop in MATLAB.

Are there more convenient ways, using Simulink only ?