[HTML][HTML] Nonlinear discrete-time observers with physics-informed neural networks
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 …
nonlinear observer-based state estimation problem. Integrated within a single-step exact …
Further remarks on KKL observers
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 …
consist in immersing the system into a linear stable filter of the output with sufficiently large …
Towards gain tuning for numerical KKL observers
This paper presents a first step towards tuning observers for general nonlinear systems.
Relying on recent results around Kazantzis-Kravaris/Luenberger (KKL) observers, we …
Relying on recent results around Kazantzis-Kravaris/Luenberger (KKL) observers, we …
Deep learning-based output tracking via regulation and contraction theory
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 …
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 …
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
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 …
identical inputaffine nonlinear time-varying systems. To this end, we tackle the problem with …
Filtered-cophy: Unsupervised learning of counterfactual physics in pixel space
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 …
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
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 …
from sparse input-output measurements. A fundamental challenge of this problem is that …
On the existence of KKL observers with nonlinear contracting dynamics
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 …
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
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 …
(KKL) observers for nonlinear systems. We address three major difficulties arising in …