Passivity-based boundary control for Korteweg-de Vries-Burgers equations

Shuang Liang; Kai Ning Wu

doi:10.1016/j.jmaa.2024.128432

Passivity-based boundary control for Korteweg-de Vries-Burgers equations

Shuang Liang
, Kai Ning Wu^*

^*Corresponding author for this work

Harbin Institute of Technology Weihai

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

4 Scopus citations

Abstract

This article considers the passivity-based boundary control for Korteweg-de Vries-Burgers (KdVB) equations. Both the input strict passivity (ISP) and the output strict passivity (OSP) are studied. By the Lyapunov functional method and Wirtinger's inequality, sufficient criteria are derived to establish ISP and OSP for KdVB equations with boundary disturbances. Moreover, when parameter uncertainties arise in KdVB equations, the robust ISP and OSP are also investigated and sufficient criteria are proposed to achieve the robust ISP and OSP. Simulation examples are also given to verify the effectiveness of theoretical results.

Original language	English
Article number	128432
Journal	Journal of Mathematical Analysis and Applications
Volume	538
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2024.128432
State	Published - 1 Oct 2024
Externally published	Yes

Keywords

Boundary input-output
Korteweg-de Vries-Burgers equations
Passivity-based boundary control
Robust passivity

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10.1016/j.jmaa.2024.128432

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title = "Passivity-based boundary control for Korteweg-de Vries-Burgers equations",

abstract = "This article considers the passivity-based boundary control for Korteweg-de Vries-Burgers (KdVB) equations. Both the input strict passivity (ISP) and the output strict passivity (OSP) are studied. By the Lyapunov functional method and Wirtinger's inequality, sufficient criteria are derived to establish ISP and OSP for KdVB equations with boundary disturbances. Moreover, when parameter uncertainties arise in KdVB equations, the robust ISP and OSP are also investigated and sufficient criteria are proposed to achieve the robust ISP and OSP. Simulation examples are also given to verify the effectiveness of theoretical results.",

keywords = "Boundary input-output, Korteweg-de Vries-Burgers equations, Passivity-based boundary control, Robust passivity",

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year = "2024",

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doi = "10.1016/j.jmaa.2024.128432",

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TY - JOUR

T1 - Passivity-based boundary control for Korteweg-de Vries-Burgers equations

AU - Liang, Shuang

AU - Wu, Kai Ning

PY - 2024/10/1

Y1 - 2024/10/1

N2 - This article considers the passivity-based boundary control for Korteweg-de Vries-Burgers (KdVB) equations. Both the input strict passivity (ISP) and the output strict passivity (OSP) are studied. By the Lyapunov functional method and Wirtinger's inequality, sufficient criteria are derived to establish ISP and OSP for KdVB equations with boundary disturbances. Moreover, when parameter uncertainties arise in KdVB equations, the robust ISP and OSP are also investigated and sufficient criteria are proposed to achieve the robust ISP and OSP. Simulation examples are also given to verify the effectiveness of theoretical results.

AB - This article considers the passivity-based boundary control for Korteweg-de Vries-Burgers (KdVB) equations. Both the input strict passivity (ISP) and the output strict passivity (OSP) are studied. By the Lyapunov functional method and Wirtinger's inequality, sufficient criteria are derived to establish ISP and OSP for KdVB equations with boundary disturbances. Moreover, when parameter uncertainties arise in KdVB equations, the robust ISP and OSP are also investigated and sufficient criteria are proposed to achieve the robust ISP and OSP. Simulation examples are also given to verify the effectiveness of theoretical results.

KW - Boundary input-output

KW - Korteweg-de Vries-Burgers equations

KW - Passivity-based boundary control

KW - Robust passivity

UR - https://www.scopus.com/pages/publications/85190471650

U2 - 10.1016/j.jmaa.2024.128432

DO - 10.1016/j.jmaa.2024.128432

M3 - 文章

AN - SCOPUS:85190471650

SN - 0022-247X

VL - 538

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

M1 - 128432

ER -

Passivity-based boundary control for Korteweg-de Vries-Burgers equations

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