Data‐Driven Observer Design for Nonlinear Systems Using Automatic Differentiation
Research output: Contribution to journal › Research article › Contributed › peer-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 language | English |
|---|---|
| Article number | e202400115 |
| Journal | Proceedings in Applied Mathematics and Mechanics: PAMM |
| Volume | 25 |
| Issue number | 1 |
| Publication status | Published - Mar 2025 |
| Peer-reviewed | Yes |
External IDs
| Mendeley | af4134ae-7cdd-3e23-8bbf-6567866c3b57 |
|---|---|
| unpaywall | 10.1002/pamm.202400115 |