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

Institute of Automation and Control (4430)

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review

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.

Original language	English
Title of host publication	22nd IFAC World Congress
Place of Publication	Yokohama, Japan
Pages	785-790
Number of pages	6
DOIs	https://doi.org/10.1016/j.ifacol.2023.10.1661
Publication status	Published - 2023
Event	22nd IFAC World Congress: IFAC 2023 - Pacific Convention Plaza Yokohama, Yokohama, Japan Duration: 10 Jul 2023 → 14 Jul 2023

Conference

Conference	22nd IFAC World Congress
Abbreviated title	IFAC 2023
Country/Territory	Japan
City	Yokohama
Period	10/07/23 → 14/07/23

Keywords

robust exact differentiator
stability condition
measurement noise
Lyapunov function

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

accepted_manuscriptAccepted author manuscript, 641 KBLicence: CC BY-NC-ND 3.0

Closed-Form Stability Conditions and Differentiation Error Bounds for Levant's Arbitrary Order Robust Exact Differentiator
Richard Seeber (Speaker)
10 Jul 2023
Activity: Talk or presentation › Talk at conference or symposium › Science to science

Cite this

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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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T1 - Closed-Form Stability Conditions and Differentiation Error Bounds for Levant's Arbitrary Order Robust Exact Differentiator

AU - Seeber, Richard

PY - 2023

Y1 - 2023

N2 - 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.

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

Conference

Keywords

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

Cite this