Global stabilization of nonlinear systems via hybrid implementation of dynamic continuous-time local controllers
File(s)Automatica_hybrid.pdf (429.55 KB)
Accepted version
Author(s)
Mylvaganam, Thulasi
Possieri, Corrado
Sassano, Mario
Type
Journal Article
Abstract
Given a continuous-time system and a dynamic control law such that the closed-loop system satisfies standard Lyapunov conditions for local asymptotic stability, we propose a hybrid implementation of the continuous-time control law. We demonstrate that subject to certain “relaxed” conditions, the hybrid implementation yields global asymptotic stability properties. These conditions can be further specialized to yield local/regional asymptotic stability with an enlarged basin of attraction with respect to the original control law. Two illustrative numerical examples are provided to demonstrate the main results.
Date Issued
2019-08-01
Date Acceptance
2019-03-19
Citation
Automatica, 2019, 106 (1), pp.401-405
ISSN
0005-1098
Publisher
Elsevier
Start Page
401
End Page
405
Journal / Book Title
Automatica
Volume
106
Issue
1
Copyright Statement
© 2019 Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence http://creativecommons.org/licenses/by-nc-nd/4.0/
Identifier
https://www.sciencedirect.com/science/article/pii/S0005109819301621
Subjects
Industrial Engineering & Automation
01 Mathematical Sciences
08 Information and Computing Sciences
09 Engineering
Publication Status
Published
Date Publish Online
2019-04-29