New Results on Finite-Time Stability: Geometric Conditions and Finite-Time Controllers
Dynamical Systems
2021-06-11 v5 Systems and Control
Abstract
This paper presents novel controllers that yield finite-time stability for linear systems. We first present a sufficient condition for the origin of a scalar system to be finite-time stable. Then we present novel finite-time controllers based on vector fields and barrier functions to demonstrate the utility of this geometric condition. We also consider the general class of linear controllable systems, and present a continuous feedback control law to stabilize the system in finite time. Finally, we present simulation results for each of these cases, showing the efficacy of the designed control laws.
Keywords
Cite
@article{arxiv.1802.08151,
title = {New Results on Finite-Time Stability: Geometric Conditions and Finite-Time Controllers},
author = {Kunal Garg and Dimitra Panagou},
journal= {arXiv preprint arXiv:1802.08151},
year = {2021}
}
Comments
2018 American Control Conference, Milwaukee, Wisconsin, June 2018