[HTML][HTML] Nonlinear discrete-time observers with physics-informed neural networks

HV Alvarez, G Fabiani, N Kazantzis… - Chaos, Solitons & …, 2024 - Elsevier
We use physics-informed neural networks (PINNs) to numerically solve the discrete-time
nonlinear observer-based state estimation problem. Integrated within a single-step exact …

Further remarks on KKL observers

L Brivadis, V Andrieu, P Bernard, U Serres - Systems & Control Letters, 2023 - Elsevier
We extend the theory of Kazantzis–Kravaris/Luenberger (KKL) observers. These observers
consist in immersing the system into a linear stable filter of the output with sufficiently large …

Towards gain tuning for numerical KKL observers

M Buisson-Fenet, L Bahr, V Morgenthaler… - IFAC-PapersOnLine, 2023 - Elsevier
This paper presents a first step towards tuning observers for general nonlinear systems.
Relying on recent results around Kazantzis-Kravaris/Luenberger (KKL) observers, we …

Deep learning-based output tracking via regulation and contraction theory

S Zoboli, S Janny, M Giaccagli - IFAC-PapersOnLine, 2023 - Elsevier
In this paper, we deal with output tracking control problems for input-affine nonlinear
systems. We propose a deep learning-based solution whose foundations lay in control …

Learning hybrid dynamics models with simulator-informed latent states

K Ensinger, S Ziesche, S Trimpe - … of the AAAI Conference on Artificial …, 2024 - ojs.aaai.org
Dynamics model learning deals with the task of inferring unknown dynamics from
measurement data and predicting the future behavior of the system. A typical approach to …

[PDF][PDF] Synchronization in networks of nonlinear systems: Contraction metric analysis and deep-learning for feedback estimation

M Giaccagli, S Zoboli, D Astolfi, V Andrieu… - Submitted to IEEE …, 2022 - hal.science
In this work, we consider the problem of global exponential synchronization of a network of
identical inputaffine nonlinear time-varying systems. To this end, we tackle the problem with …

Filtered-cophy: Unsupervised learning of counterfactual physics in pixel space

S Janny, F Baradel, N Neverova, M Nadri… - arxiv preprint arxiv …, 2022 - arxiv.org
Learning causal relationships in high-dimensional data (images, videos) is a hard task, as
they are often defined on low dimensional manifolds and must be extracted from complex …

Learning reduced nonlinear state-space models: an output-error based canonical approach

S Janny, Q Possamaï, L Bako, C Wolf… - 2022 IEEE 61st …, 2022 - ieeexplore.ieee.org
The identification of a nonlinear dynamic model is an open topic in control theory, especially
from sparse input-output measurements. A fundamental challenge of this problem is that …

On the existence of KKL observers with nonlinear contracting dynamics

V Pachy, V Andrieu, P Bernard, L Brivadis, L Praly - IFAC-PapersOnLine, 2024 - Elsevier
Abstract KKL (Kazantzis-Kravaris/Luenberger) observers are based on the idea of
immersing a given nonlinear system into a target system that is a linear stable filter of the …

Deep model-free KKL observer: A switching approach

J Peralez, M Nadri - Learning for Dynamics and Control, 2024 - hal.science
This paper presents a new model-free methodology to learn Kazantzis-Kravaris-Luenberger
(KKL) observers for nonlinear systems. We address three major difficulties arising in …