Closed-Form Stability Conditions and Differentiation Error Bounds for Levant's Arbitrary Order Robust Exact Differentiator

Richard Seeber

doi:10.1016/j.ifacol.2023.10.1661

Closed-Form Stability Conditions and Differentiation Error Bounds for Levant's Arbitrary Order Robust Exact Differentiator

Richard Seeber

Institut für Regelungs- und Automatisierungstechnik (4430)

Publikation: Beitrag in Buch/Bericht/Konferenzband › Beitrag in einem Konferenzband › Begutachtung

Abstract

This paper proposes, for the first time, closed-form stability conditions and differentiation error upper bounds for arbitrary orders of Levant’s robust exact differentiator. Based on these conditions, a tuning rule is provided to select the differentiator parameters. Numerical examples demonstrate the application of the proposed tuning rule and compare the conservativeness of the obtained conditions to existing results.

Originalsprache	englisch
Titel	22nd IFAC World Congress
Erscheinungsort	Yokohama, Japan
Seiten	785-790
Seitenumfang	6
DOIs	https://doi.org/10.1016/j.ifacol.2023.10.1661
Publikationsstatus	Veröffentlicht - 2023
Veranstaltung	22nd World Congress of the International Federation of Automatic Control: IFAC 2023 - Pacific Convention Plaza Yokohama, Yokohama, Japan Dauer: 10 Juli 2023 → 14 Juli 2023

Konferenz

Konferenz	22nd World Congress of the International Federation of Automatic Control
Kurztitel	IFAC World Congress
Land/Gebiet	Japan
Ort	Yokohama
Zeitraum	10/07/23 → 14/07/23

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10.1016/j.ifacol.2023.10.1661Lizenz: CC BY-NC-ND 4.0

accepted_manuscriptAkzeptiertes Autorenmanuskript, 641 KBLizenz: CC BY-NC-ND 3.0

Closed-Form Stability Conditions and Differentiation Error Bounds for Levant's Arbitrary Order Robust Exact Differentiator
Richard Seeber (Redner/in)
10 Juli 2023
Aktivität: Vortrag oder Präsentation › Vortrag bei Konferenz oder Fachtagung › Science to science

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title = "Closed-Form Stability Conditions and Differentiation Error Bounds for Levant's Arbitrary Order Robust Exact Differentiator",

abstract = "This paper proposes, for the first time, closed-form stability conditions and differentiation error upper bounds for arbitrary orders of Levant{\textquoteright}s robust exact differentiator. Based on these conditions, a tuning rule is provided to select the differentiator parameters. Numerical examples demonstrate the application of the proposed tuning rule and compare the conservativeness of the obtained conditions to existing results.",

keywords = "robust exact differentiator, stability condition, measurement noise, Lyapunov function",

author = "Richard Seeber",

year = "2023",

doi = "10.1016/j.ifacol.2023.10.1661",

language = "English",

pages = "785--790",

booktitle = "22nd IFAC World Congress",

note = "22nd IFAC World Congress : IFAC 2023, IFAC 2023 ; Conference date: 10-07-2023 Through 14-07-2023",

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AU - Seeber, Richard

PY - 2023

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AB - This paper proposes, for the first time, closed-form stability conditions and differentiation error upper bounds for arbitrary orders of Levant’s robust exact differentiator. Based on these conditions, a tuning rule is provided to select the differentiator parameters. Numerical examples demonstrate the application of the proposed tuning rule and compare the conservativeness of the obtained conditions to existing results.

KW - robust exact differentiator

KW - stability condition

KW - measurement noise

KW - Lyapunov function

U2 - 10.1016/j.ifacol.2023.10.1661

DO - 10.1016/j.ifacol.2023.10.1661

M3 - Conference paper

SP - 785

EP - 790

BT - 22nd IFAC World Congress

CY - Yokohama, Japan

T2 - 22nd IFAC World Congress

Y2 - 10 July 2023 through 14 July 2023

ER -

Closed-Form Stability Conditions and Differentiation Error Bounds for Levant's Arbitrary Order Robust Exact Differentiator

Abstract

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Closed-Form Stability Conditions and Differentiation Error Bounds for Levant's Arbitrary Order Robust Exact Differentiator

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