Algebrische Ableitungsschätzung im Kontext der Rekonstruierbarkeit

Translated title of the contribution: Algebraic time-derivative estimation in the context of reconstructibility

Johann Reger, Jerome Jouffroy

Research output: Contribution to journalJournal articleResearchpeer-review


The algebraic approach to time-derivative estimation of measurement signals, proposed by Fliess and Sira-Ramirez, is developed our of classical results from optimal estimation theory. By means of simple calculations it is shown that the algebraic method may be obtained as a special case of state reconstruction using reconstructibility Gramians. The paper concludes with links to further estimation methods, as least-squares estimation and Kalman-filtering, and briefly points out practical implications.
Translated title of the contributionAlgebraic time-derivative estimation in the context of reconstructibility
Original languageGerman
Issue number6
Publication statusPublished - 2008


  • state estimation
  • deadbeat observers
  • FIR-filtering
  • operational calculus


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