Do you mean microcontroller-based memristor emulator circuit? or FPGA based emulator? In any case, I think analyze some available microcontroller-based memristor emulator and related articles. That will help you to give an idea how to design your own.
I guess you want to create a model (a program) of memristor-based circuit and run it on a microcontroller.
At first, you need to have a memristor model that can be used in such a program (C++, VHDL, etc.). Usually, memristor based circuits are simulated by circuits simulators like SPICE and Verilog-A model is used.