Implementation of soft-constrained MPC for Tracking using its semi-banded problem structure
<|reference_start|>Implementation of soft-constrained MPC for Tracking using its semi-banded problem structure: Model Predictive Control (MPC) is a popular control approach due to its ability to consider constraints, including input and state restrictions, while minimizing a cost function. However, in practice, these constraints can result in feasibility issues, either because the system model is not accurate or due to the existence of external disturbances. To mitigate this problem, a solution adopted by the MPC community is the use of soft constraints. In this article, we consider a not-so-typical methodology to encode soft constraints in a particular MPC formulation known as MPC for Tracking (MPCT), which has several advantages when compared to standard MPC formulations. The motivation behind the proposed encoding is to maintain the semi-banded structure of the ingredients of a recently proposed solver for the considered MPCT formulation, thus providing an efficient and fast solver when compared to alternative approaches from the literature. We show numerical results highlighting the benefits of the formulation and the computational efficiency of the solver.<|reference_end|>
@article{gracia2024implementation,
    title={Implementation of soft-constrained MPC for Tracking using its
  semi-banded problem structure},
    author={Victor Gracia, Pablo Krupa, Daniel Limon, Teodoro Alamo},
    journal={in IEEE Control Systems Letters, vol. 8, pp. 1499-1504, 2024},
    year={2024},
    doi={10.1109/LCSYS.2024.3407609},
    archivePrefix={arXiv},
    eprint={2403.04601},
    primaryClass={eess.SY cs.SY math.OC}
}