Exponential stabilizability and observability at the target imply semiglobal exponential stabilizability by templated output feedback

For nonlinear analytic control systems, we introduce a new paradigm for dynamic output feedback stabilization. We propose to periodically sample the usual observer based control law, and to reshape it so that it coincides with a “control template” on each time period. By choosing a control template...

Full description

Saved in:
Bibliographic Details
Published in:Systems & control letters 2025-01, Vol.195, Article 105971
Main Authors: Andrieu, Vincent, Brivadis, Lucas, Gauthier, Jean-Paul, Sacchelli, Ludovic, Serres, Ulysse
Format: Article
Language:English
Subjects:
Hybrid methods
Observability
Output feedback
Stabilization
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:For nonlinear analytic control systems, we introduce a new paradigm for dynamic output feedback stabilization. We propose to periodically sample the usual observer based control law, and to reshape it so that it coincides with a “control template” on each time period. By choosing a control template making the system observable, we prove that this method allows to bypass the uniform observability assumption that is used in most nonlinear separation principles. We prove the genericity of control templates by adapting a universality theorem of Sussmann.
ISSN:0167-6911
DOI:10.1016/j.sysconle.2024.105971