Fixed-time estimators of derivatives of unknown maps

Libin Wang; Songlin Chen; Miroslav Krstic; Hui Zhao

doi:10.1016/j.ifacol.2020.12.2012

Fixed-time estimators of derivatives of unknown maps

Libin Wang^*
, Songlin Chen^*
, Miroslav Krstic
, Hui Zhao^*

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology
University of California at San Diego

Research output: Contribution to journal › Conference article › peer-review

2 Scopus citations

Abstract

A systematic and generalized asymptotic derivative estimator design method is first presented for unknown maps by adding a sinusoidal excitation signal to the argument of the map. Then, based on the proposed asymptotic derivative estimator approach and based on the existing design methods for both finite-time and fixed-time state observers, finite-time and fixed-time derivative estimators are designed. The sufficient conditions for finite-time and fixed-time input-to-state stable of the finite-time and fixed-time derivative estimators are given respectively when a bounded disturbance input exists.

Original language	English
Pages (from-to)	1530-1535
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	53
DOIs	https://doi.org/10.1016/j.ifacol.2020.12.2012
State	Published - 2020
Event	21st IFAC World Congress 2020 - Berlin, Germany Duration: 12 Jul 2020 → 17 Jul 2020

Keywords

Derivative estimator
Extremum seeking
Finite-time
Fixed-time
Input-to-state stability

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10.1016/j.ifacol.2020.12.2012

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title = "Fixed-time estimators of derivatives of unknown maps",

abstract = "A systematic and generalized asymptotic derivative estimator design method is first presented for unknown maps by adding a sinusoidal excitation signal to the argument of the map. Then, based on the proposed asymptotic derivative estimator approach and based on the existing design methods for both finite-time and fixed-time state observers, finite-time and fixed-time derivative estimators are designed. The sufficient conditions for finite-time and fixed-time input-to-state stable of the finite-time and fixed-time derivative estimators are given respectively when a bounded disturbance input exists.",

keywords = "Derivative estimator, Extremum seeking, Finite-time, Fixed-time, Input-to-state stability",

author = "Libin Wang and Songlin Chen and Miroslav Krstic and Hui Zhao",

note = "Publisher Copyright: Copyright {\textcopyright} 2020 The Authors. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0); 21st IFAC World Congress 2020 ; Conference date: 12-07-2020 Through 17-07-2020",

year = "2020",

doi = "10.1016/j.ifacol.2020.12.2012",

language = "英语",

volume = "53",

pages = "1530--1535",

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publisher = "Elsevier B.V.",

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TY - JOUR

T1 - Fixed-time estimators of derivatives of unknown maps

AU - Wang, Libin

AU - Chen, Songlin

AU - Krstic, Miroslav

AU - Zhao, Hui

PY - 2020

Y1 - 2020

N2 - A systematic and generalized asymptotic derivative estimator design method is first presented for unknown maps by adding a sinusoidal excitation signal to the argument of the map. Then, based on the proposed asymptotic derivative estimator approach and based on the existing design methods for both finite-time and fixed-time state observers, finite-time and fixed-time derivative estimators are designed. The sufficient conditions for finite-time and fixed-time input-to-state stable of the finite-time and fixed-time derivative estimators are given respectively when a bounded disturbance input exists.

AB - A systematic and generalized asymptotic derivative estimator design method is first presented for unknown maps by adding a sinusoidal excitation signal to the argument of the map. Then, based on the proposed asymptotic derivative estimator approach and based on the existing design methods for both finite-time and fixed-time state observers, finite-time and fixed-time derivative estimators are designed. The sufficient conditions for finite-time and fixed-time input-to-state stable of the finite-time and fixed-time derivative estimators are given respectively when a bounded disturbance input exists.

KW - Derivative estimator

KW - Extremum seeking

KW - Finite-time

KW - Fixed-time

KW - Input-to-state stability

UR - https://www.scopus.com/pages/publications/85108114320

U2 - 10.1016/j.ifacol.2020.12.2012

DO - 10.1016/j.ifacol.2020.12.2012

M3 - 会议文章

AN - SCOPUS:85108114320

SN - 2405-8971

VL - 53

SP - 1530

EP - 1535

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

T2 - 21st IFAC World Congress 2020

Y2 - 12 July 2020 through 17 July 2020

ER -

Fixed-time estimators of derivatives of unknown maps

Abstract

Keywords

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