Data‐Driven Observer Design for Nonlinear Systems Using Automatic Differentiation

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

Abstract

This contribution discusses a method for approximating the observability canonical form of nonlinear systems, circumventing the need for extensive symbolic computations. Instead, we design a high‐gain observer leveraging neural networks and automatic differentiation. The approach aims to address the challenges associated with computing the observability canonical form, and especially the reverse transformation, by utilizing neural networks to approximate the nonlinearities in the observer's differential equation and the inverse observability map. We demonstrate the effectiveness of the method through experimental results on a physical pendulum system.

Details

Original languageEnglish
Article numbere202400115
JournalProceedings in Applied Mathematics and Mechanics: PAMM
Volume25
Issue number1
Publication statusPublished - Mar 2025
Peer-reviewedYes

External IDs

Mendeley af4134ae-7cdd-3e23-8bbf-6567866c3b57
unpaywall 10.1002/pamm.202400115

Keywords