Set-membership identification of continuous-time MIMO systems via Tustin discretization
Systems and Control
2025-08-28 v1 Systems and Control
Optimization and Control
Abstract
In this paper, we deal with the identification of continuous-time systems from sampled data corrupted by unknown but bounded errors. A significant challenge in continuous-time identification is the estimation of the input and output data derivatives. In this paper, we propose a novel method based on set-membership techniques and Tustin discretization, which overcomes the derivative measurement problem and the presence of bounded errors affecting all the measured signals. First, we derive the proposed method and prove that it becomes an affordable polynomial optimization problem. Then, we present some numerical results based on simulation and experimental data to explore the effectiveness of the proposed method.
Keywords
Cite
@article{arxiv.2508.19348,
title = {Set-membership identification of continuous-time MIMO systems via Tustin discretization},
author = {Vito Cerone and Sophie M. Fosson and Simone Pirrera and Diego Regruto},
journal= {arXiv preprint arXiv:2508.19348},
year = {2025}
}