Symmetry-based observers for ODE systems
Systems and Control
2025-04-02 v1 Systems and Control
Abstract
In this paper we introduce an observer design framework for ordinary differential equation (ODE) systems based on various types of existing or even novel one-parameter symmetries (exact, asymptotic and variational) ending up with a certain number of semi-global and global observers, with bounded or unbounded system's solutions and with infinite- or finite-time convergence. We compare some of these symmetry-based observers with existing observers, recovering for instance the same performances of high-gain semiglobal observers and the finite-time convergence capabilities of sliding mode observers, while obtaining novel global observers where existing techniques are not able to provide any.
Cite
@article{arxiv.2504.00554,
title = {Symmetry-based observers for ODE systems},
author = {Stefano Battilotti},
journal= {arXiv preprint arXiv:2504.00554},
year = {2025}
}
Comments
16 pages, submitted to journal