Sliding-Mode-Based Differentiation and Its Application

Arie Levant; Miki Livne; Xinghuo Yu

doi:10.1016/j.ifacol.2017.08.495

Sliding-Mode-Based Differentiation and Its Application

Arie Levant, Miki Livne, Xinghuo Yu

School of Mathematical Sciences

Tel Aviv University

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

Abstract

Sliding-mode (SM) based differentiation is exact on a large class of functions and robust to the presence of input noises. The best-possible differentiator accuracy is for the first-time calculated. A few differentiators and their discretizations are presented. As an important application of the differentiation technique we propose the first robust exact method for the estimation of the equivalent control and of a number of its derivatives from a SM control input.

Original language	English
Pages (from-to)	1699-1704
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	50
Issue number	1
DOIs	https://doi.org/10.1016/j.ifacol.2017.08.495
State	Published - Jul 2017

Keywords

Sliding mode control
discrete event modeling
filter design
nonlinear observers
robustness analysis
simulation

All Science Journal Classification (ASJC) codes

Control and Systems Engineering

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10.1016/j.ifacol.2017.08.495

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AB - Sliding-mode (SM) based differentiation is exact on a large class of functions and robust to the presence of input noises. The best-possible differentiator accuracy is for the first-time calculated. A few differentiators and their discretizations are presented. As an important application of the differentiation technique we propose the first robust exact method for the estimation of the equivalent control and of a number of its derivatives from a SM control input.

KW - Sliding mode control

KW - discrete event modeling

KW - filter design

KW - nonlinear observers

KW - robustness analysis

KW - simulation

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Sliding-Mode-Based Differentiation and Its Application

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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