BA Elias Baldauf

Bachelor's Thesis Elias Baldauf, 2023

Beiträge zur Kombination von algebraischen Ableitungsschätzern und Beobachtern

Abstract

In control engineering, observers have been used for many years to estimate quantities in dynamic systems that can not be directly measured. Algebraic differentiators provide an alternative approach to this task. While the observer is a self-correcting simulator, the algebraic differentiators are purely signal-based methods. To combine the advantages of both methods, this thesis deals with the development of concepts for combining algebraic differentiators with observers. This includes synchronization of the measurement, reconstruction of the system variables, and prediction of the reconstructed state. The focus is on linear, time-invariant, first- and second-order systems. Furthermore, the developed methods are investigated for their robustness against high-frequency additive perturbations of the measured signal, as well as parameter uncertainties and model perturbations. Comparisons between the combined methods and established methods under suitable evaluation criteria are part of the thesis. An extension of the developed concepts to time-invariant, nonlinear systems of first and second order is performed.

Supervisors

Prof. Dr.-Ing. habil. J. Rudolph
M.Sc. Peter Scherer
M.Sc. Abdurrahman Irscheid