Geometric control of hybrid systems
Optimization and Control
2021-12-08 v1
Abstract
In this paper, we present a geometric approach for computing controlled invariant sets for hybrid control systems. While the problem is well studied in the ellipsoidal case, this family is quite conservative for constrained or switched linear systems. We reformulate the invariance of a set as an inequality for its support function that is valid for any convex set. This produces novel algebraic conditions for the invariance of sets with polynomial or piecewise quadratic support function.
Keywords
Cite
@article{arxiv.2112.03394,
title = {Geometric control of hybrid systems},
author = {Benoît Legat and Raphaël M. Jungers},
journal= {arXiv preprint arXiv:2112.03394},
year = {2021}
}
Comments
20 pages, 2 figures, submitted to Nonlinear Analysis: Hybrid Systems (NAHS). arXiv admin note: substantial text overlap with arXiv:2101.06990