Echtzeit-Implementierung eines algebraischen Ableitungsschätzverfahrens (Realtime Implementation of an Algebraic Derivative Estimation Scheme)

@inproceedings{Zehetner2007EchtzeitImplementierungEA,
  title={Echtzeit-Implementierung eines algebraischen Ableitungssch{\"a}tzverfahrens (Realtime Implementation of an Algebraic Derivative Estimation Scheme)},
  author={Josef Zehetner and Johann Reger and Martin Horn},
  booktitle={Autom.},
  year={2007}
}
In der vorliegenden Arbeit wird die Echtzeitimplementierung eines algebraischen Verfahrens zur Schätzung von Zeitableitungen gemessener Signale vorgestellt. Ausgehend von einer Taylorreihendarstellung des betrachteten Signals werden mit Methoden der Operatorenrechnung Berechnungsvorschriften für Zeitableitungen beliebiger Ordnung hergeleitet. Diese können effizient in Echtzeit ausgewertet werden. Im vorliegenden Fall wird Matlab/Simulink als Werkzeug eingesetzt. Mit Hilfe eines Codegenerators… Expand
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References

SHOWING 1-10 OF 33 REFERENCES
Control via state estimations of some nonlinear systems
This semiplenary talk at the IFAC Symposium on Nonlinear Control Systems (NOLCOS, Stuttgart, September 2004) is proposing state reconstructors for nonlinear systems. Our techniques extend a previousExpand
Solving Problems in Scientific Computing Using Maple and MATLAB®
TLDR
This book teaches students how both systems, MATLAB and Maple, may be used to solve problems interactively in an elegant way and readers will learn to solve similar problems by understanding and applying the techniques presented in the book. Expand
On non-asymptotic observation of nonlinear systems
In this contribution, we use the so-called algebraic derivative method for a non-asymptotic state observation of nonlinear SISO systems. We derive a general formula of a time-varying filter thatExpand
Analyse et représentation de signaux transitoires : application à la compression, au débruitage et à la détection de ruptures
Noise removal, detection of abrupt changes and compression are studied via an unusual approach of signal analysis and representation. Differential algebra, noncommutative algebra and operationalExpand
A global exponential observer based on numerical differentiation
The extended Kalman filter is known to have excellent filtering characteristics, but its convergence is guaranteed only if it is initialized close enough to the true state value. NumericalExpand
Robust algebraic state estimation of chaotic systems
We propose an improvement of a recently introduced algebraic approach for the non-asymptotic state and parameter estimation of nonlinear systems. In particular, we increase the robustness of theExpand
Synthesis of nonlinear observers via structural analysis and numerical differentiation
TLDR
Any observable, autonomous system admitting an equilibrium point can be expressed as a state-affine system parameterized by the output and its derivatives, and a class of (single-output) systems is identified that admit parameterizations with fewer than n - 1 derivatives. Expand
A stable finite difference ansatz for higher order differentiation of non-exact data
If standard central diierence formulas are used to compute second or third order derivatives from measured data even quite precise data can lead to totally unusable results due to the basicExpand
An algebraic framework for linear identification
A closed loop parametrical identification procedure for continuous-time constant linear systems is introduced. This approach which exhibits good robustness properties with respect to a large varietyExpand
Introduction to Wavelets and Wavelet Transforms: A Primer
1. Introduction to Wavelets. 2. A Multiresolution Formulation of Wavelet Systems. 3. Filter Banks and the Discrete Wavelet Transform. 4. Bases, Orthogonal Bases, Biorthogonal Bases, Frames, TightExpand
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4
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