Stabilization of Burgers' equation by constrained control

Wen Kang; Emilia Fridman

doi:https://doi.org/10.1016/j.ifacol.2020.12.1314

Stabilization of Burgers' equation by constrained control

Wen Kang, Emilia Fridman

School of Electrical Engineering

Tel Aviv University

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

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

Keywords

Burgers' equation
Constrained control
Point actuation

All Science Journal Classification (ASJC) codes

Control and Systems Engineering

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https://doi.org/10.1016/j.ifacol.2020.12.1314

Cite this

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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",

year = "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

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U2 - https://doi.org/10.1016/j.ifacol.2020.12.1314

DO - https://doi.org/10.1016/j.ifacol.2020.12.1314

M3 - مقالة من مؤنمر

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

Keywords

All Science Journal Classification (ASJC) codes

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