Data-driven design of safe control for polynomial systems
Systems and Control
2023-11-28 v1 Systems and Control
Dynamical Systems
Optimization and Control
Abstract
We consider the problem of designing an invariant set using only a finite set of input-state data collected from an unknown polynomial system in continuous time. We consider noisy data, i.e., corrupted by an unknown-but-bounded disturbance. We derive a data-dependent sum-of-squares program that enforces invariance of a set and also optimizes the size of the invariant set while keeping it within a set of user-defined safety constraints; the solution of this program directly provides a polynomial invariant set and a state-feedback controller. We numerically test the design on a system of two platooning cars.
Cite
@article{arxiv.2112.12664,
title = {Data-driven design of safe control for polynomial systems},
author = {Alessandro Luppi and Andrea Bisoffi and Claudio De Persis and Pietro Tesi},
journal= {arXiv preprint arXiv:2112.12664},
year = {2023}
}