Data-Driven Robust Predictive Control with Interval Matrix Uncertainty Propagation
Abstract
This paper presents a new data-driven robust predictive control law, for linear systems affected by unknown-but-bounded process disturbances. A sequence of input-state data is used to construct a suitable uncertainty representation based on interval matrices. Then, the effect of uncertainty along the prediction horizon is bounded through an operator leveraging matrix zonotopes. This yields a tube that is exploited within a variable-horizon optimal control problem, to guarantee robust satisfaction of state and input constraints. The resulting data-driven predictive control scheme is proven to be recursively feasible and practically stable. A numerical example shows that the proposed approach compares favorably to existing methods based on zonotopic tubes.
Cite
@article{arxiv.2603.15063,
title = {Data-Driven Robust Predictive Control with Interval Matrix Uncertainty Propagation},
author = {Renato Quartullo and Andrea Garulli and Mirko Leomanni},
journal= {arXiv preprint arXiv:2603.15063},
year = {2026}
}