Contributions to numerical differentiation using orthogonal polynomials and its application to fault detection and parameter identification
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Amine Othmane
Amine Othmane worked from 2018 to 2022 at the Chair of Systems Theory and Control Engineering (Prof. Dr.-Ing. habil. Joachim Rudolph) at Saarland University and was a doctoral student at the Laboratoire des Signaux et Système at Université Paris-Saclay, CNRS, CentraleSupélec, in the context of a joint international doctoral supervision (“cotutelle”). His main research topics were numerical differentiation, parameter estimation, fault diagnosis, and model-free control. Since 2023 he works with Prof. Dr. Kathrin Flaßkamp (Systems Modeling and Simulation, Saarland University) on combining physics-based and data-based approaches for wind energy systems.
Abstract
This thesis investigates numerical differentiation methods based on orthogonal polynomials and applies the methods to fault detection and parameter estimation problems. Time-domain and frequency-domain analyses of the differentiators are provided. Tuning guidelines and real-time implementations are proposed.
Zusammenfassung
Diese Arbeit befasst sich mit Methoden zur näherungsweisen numerischen Differentiation mittels orthogonaler Polynome und wendet diese auf Probleme der Fehlererkennung und Parameterschätzung an. Die Ableitungsschätzer werden sowohl im Zeit- als auch im Frequenzbereich untersucht, ebenso wie Parametrierungsansätze und Echtzeitimplementierungen.
About the author
Amine Othmane worked from 2018 to 2022 at the Chair of Systems Theory and Control Engineering (Prof. Dr.-Ing. habil. Joachim Rudolph) at Saarland University and was a doctoral student at the Laboratoire des Signaux et Système at Université Paris-Saclay, CNRS, CentraleSupélec, in the context of a joint international doctoral supervision (“cotutelle”). His main research topics were numerical differentiation, parameter estimation, fault diagnosis, and model-free control. Since 2023 he works with Prof. Dr. Kathrin Flaßkamp (Systems Modeling and Simulation, Saarland University) on combining physics-based and data-based approaches for wind energy systems.
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Dissertation: This dissertation was submitted and accepted in 2022 at Université Paris-Saclay, France, and Saarland University, Germany, in the context of a joint international doctorate (“cotutelle”). The dissertation is available at https://doi.org/10.22028/D291-38806. Members of the jury were: Prof. Dr.-Ing. habil. Joachim Rudolph (reviewer and supervisor), Prof. Dr. Hugues Mounier (reviewer and supervisor), Prof. Dr. Mamadou Mboup (reviewer), Prof. Dr. Cédric Join (reviewer), Prof. Dr. Kathrin Flaßkamp, and Dr.-Ing. Christian Bur.
© 2023 Walter de Gruyter GmbH, Berlin/Boston
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Articles in the same Issue
- Frontmatter
- Methoden
- Bad Smells in Steuerungssoftware für automatisierte Produktionssysteme
- A pattern catalog for augmenting Digital Twin models with behavior
- Architecture-based attack propagation and variation analysis for identifying confidentiality issues in Industry 4.0
- Towards automated risk assessments for modular manufacturing systems
- Time domain design of PI-C controllers
- Tools
- MORpH: Model reduction of linear port-Hamiltonian systems in MATLAB
- Forum
- Cyberangriffe blockierende programmierbare Automatisierungssysteme
- Dissertationen
- Contributions to numerical differentiation using orthogonal polynomials and its application to fault detection and parameter identification
- Mitteilungen
- Vom 57. Regelungstechnischen Kolloquium in Boppard
- Persönliches
- Prof. Dr. Georg Bretthauer bekommt höchste VDI-Auszeichnung verliehen
