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

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 e...

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Bibliographic Details
Published in:	Journal of mathematical analysis and applications Vol. 538; no. 1; p. 128432
Main Authors:	Liang, Shuang, Wu, Kai-Ning
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01-10-2024
Subjects:	Boundary input-output Korteweg-de Vries-Burgers equations Passivity-based boundary control Robust passivity Korteweg-de Vries-Burgers equations Passivity-based boundary control Robust passivity Boundary input-output
Online Access:	Get full text
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Summary:	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.
ISSN:	0022-247X 1096-0813
DOI:	10.1016/j.jmaa.2024.128432