Exact differentiation of signals with unbounded higher derivatives

Arie Levant; Miki Livne

doi:https://doi.org/10.1109/TAC.2011.2173424

Exact differentiation of signals with unbounded higher derivatives

Arie Levant, Miki Livne

School of Mathematical Sciences

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

Arbitrary-order homogeneous differentiators based on high-order sliding modes are generalized to ensure exact robust kth-order differentiation of signals with a given functional bound of the(κ+1) th derivative. The asymptotic accuracies in the presence of noises and discrete sampling are estimated. The results are applicable for the global observation of system states with unbounded dynamics. Computer simulation demonstrates the applicability of the modified differentiators.

Original language	English
Article number	6060865
Pages (from-to)	1076-1080
Number of pages	5
Journal	IEEE Transactions on Automatic Control
Volume	57
Issue number	4
DOIs	https://doi.org/10.1109/TAC.2011.2173424
State	Published - Apr 2012

Keywords

High-order sliding mode
homogeneity
nonlinear observers
robustness

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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https://doi.org/10.1109/TAC.2011.2173424

Cite this

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AB - Arbitrary-order homogeneous differentiators based on high-order sliding modes are generalized to ensure exact robust kth-order differentiation of signals with a given functional bound of the(κ+1) th derivative. The asymptotic accuracies in the presence of noises and discrete sampling are estimated. The results are applicable for the global observation of system states with unbounded dynamics. Computer simulation demonstrates the applicability of the modified differentiators.

KW - High-order sliding mode

KW - homogeneity

KW - nonlinear observers

KW - robustness

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Exact differentiation of signals with unbounded higher derivatives

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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