Title :
Differentiation with High-Gain Observers the Presence of Measurement Noise
Author :
Vasiljevic, Luma K. ; Khalil, Hassan K.
Author_Institution :
Dept. of Electr. Eng., Michigan State Univ., East Lansing, MI
Abstract :
The error in estimating the derivative(s) of a noisy signal by using a high-gain observer is studied and quantified. The error is bounded in terms of the infinity norms of the noise and a derivative of the signal. The error bound is independent of the frequency or derivatives of the noise. Guidelines are presented for the observer gain design when it is used for on-line differentiation. Analytical and simulation results are presented
Keywords :
difference equations; noise; observers; derivative estimation; high-gain observers; measurement noise; observer gain design; online differentiation; Error correction; Frequency; Gain measurement; Guidelines; H infinity control; Noise measurement; Observers; Polynomials; Signal analysis; USA Councils;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377230