Standard

Two-point output feedback boundary control for semilinear hyperbolic systems. / Dolgopolik, Maksim; Fradkov, Alexander L.; Andrievsky, Boris.

в: IFAC-PapersOnLine, Том 52, № 16, 09.2019, стр. 54-59.

Результаты исследований: Научные публикации в периодических изданиях › статья в журнале по материалам конференции › Рецензирование

Harvard

Dolgopolik, M, Fradkov, AL & Andrievsky, B 2019, 'Two-point output feedback boundary control for semilinear hyperbolic systems', IFAC-PapersOnLine, Том. 52, № 16, стр. 54-59. https://doi.org/10.1016/j.ifacol.2019.11.755

APA

Dolgopolik, M., Fradkov, A. L., & Andrievsky, B. (2019). Two-point output feedback boundary control for semilinear hyperbolic systems. IFAC-PapersOnLine, 52(16), 54-59. https://doi.org/10.1016/j.ifacol.2019.11.755

Vancouver

Dolgopolik M, Fradkov AL, Andrievsky B. Two-point output feedback boundary control for semilinear hyperbolic systems. IFAC-PapersOnLine. 2019 Сент.;52(16):54-59. https://doi.org/10.1016/j.ifacol.2019.11.755

Author

Dolgopolik, Maksim ; Fradkov, Alexander L. ; Andrievsky, Boris. / Two-point output feedback boundary control for semilinear hyperbolic systems. в: IFAC-PapersOnLine. 2019 ; Том 52, № 16. стр. 54-59.

BibTeX

@article{aa1bc89dbd2f41e7837b6694a60b6ca1,
title = "Two-point output feedback boundary control for semilinear hyperbolic systems",
abstract = "A new control problem is posed and solved: regulation problem for the one-dimensional Klein-Gordon and semilinear wave equations with Neumann boundary conditions in the case when the control acts at both ends of the space interval (“two-point control”). A control algorithm based on the speed-gradient method is proposed. The global exponential stability of the closed loop system for the case of the Klein-Gordon equation is established by means of a new Lyapunov functional. This results is extended to the case of the semilinear wave equation by means of linearization. The two-point energy control problem for the sine-Gordon and semilinear wave equations is analyzed by simulation. It is demonstrated that the proposed two-point control algorithm may provide 30% faster transients.",
keywords = "Boundary control, Distributed-parameter system, Energy control, Klein-Gordon equation, Semilinear wave equation, Speed-gradient",
author = "Maksim Dolgopolik and Fradkov, {Alexander L.} and Boris Andrievsky",
note = "Publisher Copyright: {\textcopyright} 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.; 11th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2019 ; Conference date: 04-09-2019 Through 06-09-2019",
year = "2019",
month = sep,
doi = "10.1016/j.ifacol.2019.11.755",
language = "English",
volume = "52",
pages = "54--59",
journal = "IFAC-PapersOnLine",
issn = "2405-8963",
publisher = "Elsevier",
number = "16",

}

RIS

TY - JOUR

T1 - Two-point output feedback boundary control for semilinear hyperbolic systems

AU - Dolgopolik, Maksim

AU - Fradkov, Alexander L.

AU - Andrievsky, Boris

N1 - Publisher Copyright: © 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2019/9

Y1 - 2019/9

N2 - A new control problem is posed and solved: regulation problem for the one-dimensional Klein-Gordon and semilinear wave equations with Neumann boundary conditions in the case when the control acts at both ends of the space interval (“two-point control”). A control algorithm based on the speed-gradient method is proposed. The global exponential stability of the closed loop system for the case of the Klein-Gordon equation is established by means of a new Lyapunov functional. This results is extended to the case of the semilinear wave equation by means of linearization. The two-point energy control problem for the sine-Gordon and semilinear wave equations is analyzed by simulation. It is demonstrated that the proposed two-point control algorithm may provide 30% faster transients.

AB - A new control problem is posed and solved: regulation problem for the one-dimensional Klein-Gordon and semilinear wave equations with Neumann boundary conditions in the case when the control acts at both ends of the space interval (“two-point control”). A control algorithm based on the speed-gradient method is proposed. The global exponential stability of the closed loop system for the case of the Klein-Gordon equation is established by means of a new Lyapunov functional. This results is extended to the case of the semilinear wave equation by means of linearization. The two-point energy control problem for the sine-Gordon and semilinear wave equations is analyzed by simulation. It is demonstrated that the proposed two-point control algorithm may provide 30% faster transients.

KW - Boundary control

KW - Distributed-parameter system

KW - Energy control

KW - Klein-Gordon equation

KW - Semilinear wave equation

KW - Speed-gradient

UR - http://www.scopus.com/inward/record.url?scp=85077466026&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2019.11.755

DO - 10.1016/j.ifacol.2019.11.755

M3 - Conference article

AN - SCOPUS:85077466026

VL - 52

SP - 54

EP - 59

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8963

IS - 16

T2 - 11th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2019

Y2 - 4 September 2019 through 6 September 2019

ER -

ID: 75995338