TY - JOUR
T1 - Robust exact filtering differentiators
AU - Levant, Arie
AU - Livne, Miki
N1 - Publisher Copyright:
© 2019 European Control Association
PY - 2020/9
Y1 - 2020/9
N2 - Filtering differentiators are capable both of rejecting large noises and exactly differentiating smooth signals. Even unbounded noises are rejected provided their local average is small. A special type constitute tracking filtering differentiators producing smooth outputs being derivatives one of another. Discrete filter versions are proposed, and the accuracy asymptotics are studied in the presence of noises and discrete sampling. Extensive computer simulation confirms the theoretical results.
AB - Filtering differentiators are capable both of rejecting large noises and exactly differentiating smooth signals. Even unbounded noises are rejected provided their local average is small. A special type constitute tracking filtering differentiators producing smooth outputs being derivatives one of another. Discrete filter versions are proposed, and the accuracy asymptotics are studied in the presence of noises and discrete sampling. Extensive computer simulation confirms the theoretical results.
KW - Homogeneity
KW - Nonlinear observation
KW - Sampled systems
KW - Sliding mode control
UR - http://www.scopus.com/inward/record.url?scp=85072247900&partnerID=8YFLogxK
U2 - 10.1016/j.ejcon.2019.08.006
DO - 10.1016/j.ejcon.2019.08.006
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AN - SCOPUS:85072247900
SN - 0947-3580
VL - 55
SP - 33
EP - 44
JO - European Journal of Control
JF - European Journal of Control
ER -