Dissipativity verification with guarantees for polynomial systems from noisy input-state data
Systems and Control
2020-11-11 v2 Systems and Control
Abstract
In this paper, we investigate the verification of dissipativity properties for polynomial systems without an explicitly identified model but directly from noise-corrupted measurements. Contrary to most data-driven approaches for nonlinear systems, we determine dissipativity properties over all finite time horizons using noisy input-state data. To this end, we propose two noise characterizations to deduce two data-based set-membership representations of the ground-truth system. Each representation then serves as a framework to derive computationally tractable conditions to verify dissipativity properties with rigorous guarantees from noise-corrupted data using sum of squares (SOS) optimization.
Cite
@article{arxiv.2008.03231,
title = {Dissipativity verification with guarantees for polynomial systems from noisy input-state data},
author = {Tim Martin and Frank Allgöwer},
journal= {arXiv preprint arXiv:2008.03231},
year = {2020}
}