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 contribution||Algebraic time-derivative estimation in the context of reconstructibility|
|Publication status||Published - 2008|
- state estimation
- deadbeat observers
- operational calculus