[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 …

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 KKL chain observer for discrete-time nonlinear systems with time-varying output delay

Y Marani, I N'Doye, TM Laleg-Kirati - Automatica, 2025 - Elsevier
This paper proposes a Kazantzis–Kravaris–Luenberger (KKL) observer design for discrete-
time nonlinear systems whose output is affected by a time-varying measurement delay …

Data‐driven state observation for nonlinear systems based on online learning

W Tang - AIChE Journal, 2023 - Wiley Online Library
For controlling nonlinear processes represented by state‐space models, a state observer is
needed to estimate the states from the trajectories of measured variables. While model …

Synthesis of data-driven nonlinear state observers using lipschitz-bounded neural networks

W Tang - 2024 American Control Conference (ACC), 2024 - ieeexplore.ieee.org
This paper focuses on the model-free synthesis of state observers for nonlinear autonomous
systems without knowing the governing equations. Specifically, the Kazantzis …

[PDF][PDF] Stable and safe human-aligned reinforcement learning through neural ordinary differential equations

L Zhao, K Miao, K Gatsis… - arXiv preprint arXiv …, 2024 - harlworkshop.github.io
Reinforcement learning (RL) excels in applications such as video games, but ensuring
safety as well as the ability to achieve the specified goals remains challenging when using …

KKL Observer Synthesis for Nonlinear Systems via Physics-Informed Learning

MUB Niazi, J Cao, M Barreau… - arXiv preprint arXiv …, 2025 - arxiv.org
This paper proposes a novel learning approach for designing Kazantzis-
Kravaris/Luenberger (KKL) observers for autonomous nonlinear systems. The design of a …

Learning Deep Dynamical Systems using Stable Neural ODEs

A Sochopoulos, M Gienger, S Vijayakumar - arXiv preprint arXiv …, 2024 - arxiv.org
Learning complex trajectories from demonstrations in robotic tasks has been effectively
addressed through the utilization of Dynamical Systems (DS). State-of-the-art DS learning …

Towards Optimal Network Depths: Control-Inspired Acceleration of Training and Inference in Neural ODEs

K Miao, K Gatsis - The Symbiosis of Deep Learning and Differential …, 2023 - openreview.net
Neural Ordinary Differential Equations (ODEs) offer potential for learning continuous
dynamics, but their slow training and inference limit broader use. This paper proposes …

Data-Driven Nonlinear State Observation using Video Measurements

C Weeks, W Tang - IFAC-PapersOnLine, 2024 - Elsevier
State observation is necessary for feedback control but often challenging for nonlinear
systems. While Kazantzis-Kravaris/Luenberger (KKL) observer gives a generic design, its …