On the SDP Relaxation of Direct Torque Finite Control Set Model Predictive Control

This repository provides the complete code package for the simulations shown in our paper "On the SDP Relaxation of Direct Torque Finite Control Set Model Predictive Control." It includes a simulation environment for an electric motor, multiple controler configurations, and simulation scenarios as discussed in our paper.

Installation

This code uses the SCS optimizer, version 3.2.9. Its installation instructions can be found under the provided link. Please make sure that the package is added to the MATLAB path and have the correct version is installed before running this code.

Note: We included YALMIP-R20210331 in this repo for ease of use. Due to compatibility issues with the latest version of SCS, we keep a changed version of YALMIP-R20210331 in the git repository. We do not recommend loading any other version of YALMIP.

Citation

If using this code for academic work, please cite us. Here are the Text and BibTex citations:

Luca M. Hartmann, Orcun Karaca, Tinus Dorfling, Tobias Geyer, Adam Kurpisz,
"On the SDP Relaxation of Direct Torque Finite Control Set Model Predictive Control,"
2024, arXiv:2412.11666.

@misc{hartmann2024sdprelaxationdirecttorque,
      title={On the SDP Relaxation of Direct Torque Finite Control Set Model Predictive Control}, 
      author={Luca M. Hartmann and Orcun Karaca and Tinus Dorfling and Tobias Geyer and Adam Kurpisz},
      year={2024},
      eprint={2412.11666},
      archivePrefix={arXiv},
      primaryClass={math.OC},
      url={https://arxiv.org/abs/2412.11666}, 
}

Simulations

The simulations of interest can be found in the src folder and in Numerical_Case_Studies. Make sure to be in the src folder, when starting main.m and run the first section of the scripts in Numerical_Case_Studies, before starting the script if main.m has not been executed before.

main.m in the root folder provides a flexible, single simulation. It is currently set up to simulate a single torque step to show the impact of the SDP relaxations in finding good solutions.

Numerical_Case_Studies/main_Simulation_Sweep.m runs an extensive simulation sweep over multiple steps with different controller types.