Peak Estimation for Uncertain and Switched Systems
Optimization and Control
2021-03-25 v1 Systems and Control
Systems and Control
Abstract
Peak estimation bounds extreme values of a function of state along trajectories of a dynamical system. This paper focuses on extending peak estimation to continuous and discrete settings with time-independent and time-dependent uncertainty. Techniques from optimal control are used to incorporate uncertainty into an existing occupation measure-based peak estimation framework, which includes special consideration for handling switching uncertainties. The resulting infinite-dimensional linear programs can be solved approximately with Linear Matrix Inequalities arising from the moment-SOS hierarchy.
Cite
@article{arxiv.2103.13017,
title = {Peak Estimation for Uncertain and Switched Systems},
author = {Jared Miller and Didier Henrion and Mario Sznaier and Milan Korda},
journal= {arXiv preprint arXiv:2103.13017},
year = {2021}
}
Comments
15 pages, 10 figures