Composite disturbance rejection control of Korteweg-de Vries-Burgers equation under event-triggering mechanism

Jing Zhang; Wen Kang

doi:10.1016/j.ifacol.2022.10.390

Composite disturbance rejection control of Korteweg-de Vries-Burgers equation under event-triggering mechanism

Jing Zhang, Wen Kang

School of Mathematics and Statistics

University of Science and Technology Beijing

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

2 Citations (Scopus)

Abstract

This article studies a composite disturbance rejection control strategy containing disturbance-observer-based control (DOBC) and H control for a Korteweg-de Vries-Burgers (KdVB) equation under the point measurements. Here two types of disturbances are considered: one is described by an exogenous system, and the other is an external disturbance in the L²-sense. To significantly reduce the transmitted measurements, an event-triggering mechanism (ETM) is utilized. In the framework of networked control system, quantization and communication delay of the measured signals are also taken into account. Sufficient regional exponential stability conditions are established by linear matrix inequalities (LMIs). The effectiveness of the proposed control law is verified by simulation results.

Original language	English
Pages (from-to)	137-142
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	55
Issue number	26
DOIs	https://doi.org/10.1016/j.ifacol.2022.10.390
Publication status	Published - 2022
Event	4th IFAC Workshop on Control of Systems Governed by Partial Differential Equations, CPDE 2022 - Kiel, Germany Duration: 7 Sept 2022 → 9 Sept 2022

Keywords

Disturbance-observer-based control
H control
Korteweg-de Vries-Burgers equation
event-triggering mechanism

Access to Document

10.1016/j.ifacol.2022.10.390

Cite this

@article{1705c9acc7e148dda3b3e74c1c654765,

title = "Composite disturbance rejection control of Korteweg-de Vries-Burgers equation under event-triggering mechanism",

abstract = "This article studies a composite disturbance rejection control strategy containing disturbance-observer-based control (DOBC) and H control for a Korteweg-de Vries-Burgers (KdVB) equation under the point measurements. Here two types of disturbances are considered: one is described by an exogenous system, and the other is an external disturbance in the L2-sense. To significantly reduce the transmitted measurements, an event-triggering mechanism (ETM) is utilized. In the framework of networked control system, quantization and communication delay of the measured signals are also taken into account. Sufficient regional exponential stability conditions are established by linear matrix inequalities (LMIs). The effectiveness of the proposed control law is verified by simulation results.",

keywords = "Disturbance-observer-based control, H control, Korteweg-de Vries-Burgers equation, event-triggering mechanism",

author = "Jing Zhang and Wen Kang",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier B.V.. All rights reserved.; 4th IFAC Workshop on Control of Systems Governed by Partial Differential Equations, CPDE 2022 ; Conference date: 07-09-2022 Through 09-09-2022",

year = "2022",

doi = "10.1016/j.ifacol.2022.10.390",

language = "English",

volume = "55",

pages = "137--142",

journal = "IFAC-PapersOnLine",

issn = "2405-8963",

publisher = "Elsevier B.V.",

number = "26",

}

TY - JOUR

T1 - Composite disturbance rejection control of Korteweg-de Vries-Burgers equation under event-triggering mechanism

AU - Zhang, Jing

AU - Kang, Wen

PY - 2022

Y1 - 2022

N2 - This article studies a composite disturbance rejection control strategy containing disturbance-observer-based control (DOBC) and H control for a Korteweg-de Vries-Burgers (KdVB) equation under the point measurements. Here two types of disturbances are considered: one is described by an exogenous system, and the other is an external disturbance in the L2-sense. To significantly reduce the transmitted measurements, an event-triggering mechanism (ETM) is utilized. In the framework of networked control system, quantization and communication delay of the measured signals are also taken into account. Sufficient regional exponential stability conditions are established by linear matrix inequalities (LMIs). The effectiveness of the proposed control law is verified by simulation results.

AB - This article studies a composite disturbance rejection control strategy containing disturbance-observer-based control (DOBC) and H control for a Korteweg-de Vries-Burgers (KdVB) equation under the point measurements. Here two types of disturbances are considered: one is described by an exogenous system, and the other is an external disturbance in the L2-sense. To significantly reduce the transmitted measurements, an event-triggering mechanism (ETM) is utilized. In the framework of networked control system, quantization and communication delay of the measured signals are also taken into account. Sufficient regional exponential stability conditions are established by linear matrix inequalities (LMIs). The effectiveness of the proposed control law is verified by simulation results.

KW - Disturbance-observer-based control

KW - H control

KW - Korteweg-de Vries-Burgers equation

KW - event-triggering mechanism

UR - http://www.scopus.com/inward/record.url?scp=85145432369&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2022.10.390

DO - 10.1016/j.ifacol.2022.10.390

M3 - Conference article

AN - SCOPUS:85145432369

SN - 2405-8963

VL - 55

SP - 137

EP - 142

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 26

T2 - 4th IFAC Workshop on Control of Systems Governed by Partial Differential Equations, CPDE 2022

Y2 - 7 September 2022 through 9 September 2022

ER -

Composite disturbance rejection control of Korteweg-de Vries-Burgers equation under event-triggering mechanism

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this