Energy Tracking for the Sine-Gordon Equation with Dissipation via Boundary Control

Maksim V. Dolgopolik, Alexander L. Fradkov

Research output

1 Citation (Scopus)

Abstract

The energy tracking problem for the onedimensional sine-Gordon equation with dissipation via boundary control is posed. With the use of the Speed-Pseudogradient method we design a family of control laws for solving this problem. An estimate of the tracking error via the derivative of a prespecified time-varying energy level is obtained. The convergence of the tracking error to zero is proved under the assumptions that the dissipation is absent and the derivative of the prespecified energy level eventually vanishes.

Original languageEnglish
Title of host publication2018 European Control Conference, ECC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3025-3030
Number of pages6
ISBN (Electronic)9783952426982
DOIs
Publication statusPublished - 27 Nov 2018
Event16th European Control Conference, ECC 2018 - Limassol
Duration: 12 Jun 201815 Jun 2018

Conference

Conference16th European Control Conference, ECC 2018
CountryCyprus
CityLimassol
Period12/06/1815/06/18

Scopus subject areas

  • Control and Systems Engineering
  • Control and Optimization

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    Dolgopolik, M. V., & Fradkov, A. L. (2018). Energy Tracking for the Sine-Gordon Equation with Dissipation via Boundary Control. In 2018 European Control Conference, ECC 2018 (pp. 3025-3030). [8550140] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ECC.2018.8550140