Relation between observability and differential embeddings for nonlinear dynamics

C Letellier, LA Aguirre, J Maquet - … Review E—Statistical, Nonlinear, and Soft …, 2005 - APS
In the analysis of a scalar time series, which lies on an m-dimensional object, a great
number of techniques will start by embedding such a time series in ad-dimensional space …

Observability analysis for dynamic state estimation of synchronous machines

A Rouhani, A Abur - IEEE Transactions on Power Systems, 2016 - ieeexplore.ieee.org
This paper is concerned about the observability analysis of time-varying nonlinear dynamic
model of a synchronous generator with its associated control systems. A byproduct of …

[HTML][HTML] Sensor selection and state estimation for unobservable and non-linear system models

T Devos, M Kirchner, J Croes, W Desmet, F Naets - Sensors, 2021 - mdpi.com
To comply with the increasing complexity of new mechatronic systems and stricter safety
regulations, advanced estimation algorithms are currently undergoing a transformation …

Toward state estimation by high gain differentiators with automatic differentiation

K Röbenack, D Gerbet - Optimization Methods and Software, 2024 - Taylor & Francis
Most applications of automatic differentiation concern the field of optimization in the broadest
sense. This means that many applications only need first and second order derivatives. An …

An approach to determine observability of nonlinear systems using interval analysis

T Paradowski, B Tibken… - 2017 American Control …, 2017 - ieeexplore.ieee.org
This paper provides an iterative interval-based algorithm which determines whether a
nonlinear system is observable on a given hyperrectangle. Many applications work with a …

High gain embedding observer design: combining differential geometry and algebra with machine learning

K Röbenack, J Fiedler, D Gerbet - 2023 27th International …, 2023 - ieeexplore.ieee.org
High gain observers are often used for the real-time estimation of the state of nonlinear
systems. Several design methods are based on normal forms, which are based on …

Observability of nonlinear power system dynamics using synchrophasor data

G Wang, CC Liu, N Bhatt, E Farantatos… - … on Electrical Energy …, 2016 - Wiley Online Library
The increasing availability of high‐resolution, synchronized measurements from phasor
measurement units (PMUs) presents an opportunity to monitor power system dynamics in …

[HTML][HTML] Observability of uncertain nonlinear systems using interval analysis

T Paradowski, S Lerch, M Damaszek, R Dehnert… - Algorithms, 2020 - mdpi.com
In the field of control engineering, observability of uncertain nonlinear systems is often
neglected and not examined. This is due to the complex analytical calculations required for …

[PDF][PDF] LIEDRIVERS-A Toolbox for the Efficient Computation of Lie Derivatives Based on the Object-Oriented Algorithmic Differentiation Package ADOL-C.

K Röbenack, J Winkler, S Wang - EOOLT, 2011 - eoolt.org
LIEDRIVERS --- A Toolbox for the Efficient Computation of Lie Derivatives Based on the
Object-Oriented Algorithmic Differentiati Page 1 LIEDRIVERS — A Toolbox for the Efficient …

Model Predictive Control of a Hybrid Thermal Management System using State of Charge Estimation

U Inyang-Udoh, M Shanks… - 2023 American Control …, 2023 - ieeexplore.ieee.org
In this paper, we consider the problem of controlling a hybrid thermal management system
(TMS) in which thermal energy may be temporarily rejected to a phase change material …