TY - GEN
T1 - Globally convergent fast exact differentiator with variable gains
AU - Levant, Arie
N1 - Publisher Copyright:
© 2014 EUCA.
PY - 2014/7/22
Y1 - 2014/7/22
N2 - A new modification of the popular finite-time-convergent robust exact sliding-mode-based differentiator is proposed. Such nth-order differentiator provides for the fast global convergence of its outputs to the first n exact derivatives of its input, provided a time-variable local Lipschitz constant of the input's nth derivative is available and has a bounded logarithmic derivative. It features the standard asymptotic accuracy of the homogeneous differentiator in the presence of noises and discrete-time sampling. Special discretization preserves the same accuracy, when the differentiator is realized as a discrete-time system.
AB - A new modification of the popular finite-time-convergent robust exact sliding-mode-based differentiator is proposed. Such nth-order differentiator provides for the fast global convergence of its outputs to the first n exact derivatives of its input, provided a time-variable local Lipschitz constant of the input's nth derivative is available and has a bounded logarithmic derivative. It features the standard asymptotic accuracy of the homogeneous differentiator in the presence of noises and discrete-time sampling. Special discretization preserves the same accuracy, when the differentiator is realized as a discrete-time system.
UR - http://www.scopus.com/inward/record.url?scp=84911495481&partnerID=8YFLogxK
U2 - 10.1109/ECC.2014.6862576
DO - 10.1109/ECC.2014.6862576
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AN - SCOPUS:84911495481
T3 - 2014 European Control Conference, ECC 2014
SP - 2925
EP - 2930
BT - 2014 European Control Conference, ECC 2014
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 13th European Control Conference, ECC 2014
Y2 - 24 June 2014 through 27 June 2014
ER -