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.
Automatisierungstechnik, 2008, Issue 6
state estimation; deadbeat observers; FIR-filtering; operational calculus