Stabilization of Burgers' equation by constrained control

Wen Kang; Emilia Fridman

doi:10.1016/j.ifacol.2020.12.1314

Stabilization of Burgers' equation by constrained control

Wen Kang^*
, Emilia Fridman

^*此作品的通讯作者

University of Science and Technology Beijing
Tel Aviv University

科研成果: 期刊稿件 › 会议文章 › 同行评审

2 引用（Scopus）

摘要

The work addresses constrained control of Burgers' equation by using distributed in space point actuation and measurements. An observer-based distributed-in-domain point control law is suggested to stabilize the system, where the controller employs averaged values of the observer. Constructive conditions are derived to ensure that the resulting closed-loop system is regionally exponentially stable. A numerical example demonstrates the efficiency of the results.

源语言	英语
页（从-至）	7497-7502
页数	6
期刊	IFAC-PapersOnLine
卷	53
期	2
DOI	https://doi.org/10.1016/j.ifacol.2020.12.1314
出版状态	已出版 - 2020
已对外发布	是
活动	21st IFAC World Congress 2020 - Berlin, 德国期限: 12 7月 2020 → 17 7月 2020

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10.1016/j.ifacol.2020.12.1314

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引用此

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title = "Stabilization of Burgers' equation by constrained control",

abstract = "The work addresses constrained control of Burgers' equation by using distributed in space point actuation and measurements. An observer-based distributed-in-domain point control law is suggested to stabilize the system, where the controller employs averaged values of the observer. Constructive conditions are derived to ensure that the resulting closed-loop system is regionally exponentially stable. A numerical example demonstrates the efficiency of the results.",

keywords = "Burgers' equation, Constrained control, Point actuation",

author = "Wen Kang and Emilia Fridman",

note = "Publisher Copyright: Copyright {\textcopyright} 2020 The Authors. This is an open access article under the CC BY-NC-ND license; 21st IFAC World Congress 2020 ; Conference date: 12-07-2020 Through 17-07-2020",

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AU - Kang, Wen

AU - Fridman, Emilia

PY - 2020

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N2 - The work addresses constrained control of Burgers' equation by using distributed in space point actuation and measurements. An observer-based distributed-in-domain point control law is suggested to stabilize the system, where the controller employs averaged values of the observer. Constructive conditions are derived to ensure that the resulting closed-loop system is regionally exponentially stable. A numerical example demonstrates the efficiency of the results.

AB - The work addresses constrained control of Burgers' equation by using distributed in space point actuation and measurements. An observer-based distributed-in-domain point control law is suggested to stabilize the system, where the controller employs averaged values of the observer. Constructive conditions are derived to ensure that the resulting closed-loop system is regionally exponentially stable. A numerical example demonstrates the efficiency of the results.

KW - Burgers' equation

KW - Constrained control

KW - Point actuation

UR - https://www.scopus.com/pages/publications/85105032300

U2 - 10.1016/j.ifacol.2020.12.1314

DO - 10.1016/j.ifacol.2020.12.1314

M3 - Conference article

AN - SCOPUS:85105032300

SN - 2405-8963

VL - 53

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T2 - 21st IFAC World Congress 2020

Y2 - 12 July 2020 through 17 July 2020

ER -

Stabilization of Burgers' equation by constrained control

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