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

^*Corresponding author for this work

School of Electrical Engineering

University of Science and Technology Beijing

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

2 Scopus citations

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.

Original language	English
Pages (from-to)	7497-7502
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	53
Issue number	2
DOIs	https://doi.org/10.1016/j.ifacol.2020.12.1314
State	Published - 2020
Event	21st IFAC World Congress 2020 - Berlin, Germany Duration: 12 Jul 2020 → 17 Jul 2020

Funding

Funders	Funder number
Beijing Science Foundation for the Excellent Youth Scholars	2018000020124G067
Outstanding Chinese and Foreign Youth Exchange Program of China Association of Science and Technology
National Natural Science Foundation of China	61803026
China Postdoctoral Science Foundation	2018M640065, 2019T120047
Israel Science Foundation	673/19, 1128/14
Fundamental Research Funds for the Central Universities	FRF- TP-18- 032A1

Keywords

Burgers' equation
Constrained control
Point actuation

Access to Document

10.1016/j.ifacol.2020.12.1314

Cite this

@article{88ea6df717c24f8aba16068b71f6e7c2,

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",

year = "2020",

doi = "10.1016/j.ifacol.2020.12.1314",

language = "אנגלית",

volume = "53",

pages = "7497--7502",

journal = "IFAC-PapersOnLine",

issn = "2405-8963",

publisher = "IFAC Secretariat",

number = "2",

}

TY - JOUR

T1 - Stabilization of Burgers' equation by constrained control

AU - Kang, Wen

AU - Fridman, Emilia

PY - 2020

Y1 - 2020

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 - http://www.scopus.com/inward/record.url?scp=85105032300&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2020.12.1314

DO - 10.1016/j.ifacol.2020.12.1314

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.conferencearticle???

AN - SCOPUS:85105032300

SN - 2405-8963

VL - 53

SP - 7497

EP - 7502

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 2

T2 - 21st IFAC World Congress 2020

Y2 - 12 July 2020 through 17 July 2020

ER -

Stabilization of Burgers' equation by constrained control

Abstract

Funding

Keywords

Access to Document

Other files and links

Fingerprint

Cite this