Boundary Energy Control of the Sine-Gordon Equation

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12 Scopus citations

Abstract

The boundary energy control problem for the sine Cordon equation is posed. Two control laws solving this problem based on Speed-Gradient method with smooth and nonsmooth goal functions are proposed. The control law obtained via a nonsmooth goal function is proved to steer the system to any required nonzero energy level in finite time. The results of the numerical evaluation of the proposed algorithms demonstrate attainability of the control goal both for the eases of decreasing and increasing the system energy and show high rate of vanishing of the control error. (C) 2016, IFAC (International Federation of Automatic Control) Hosting, by Elsevier Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)148-153
Number of pages6
JournalIFAC Proceedings Volumes (IFAC-PapersOnline)
Volume49
Issue number14
DOIs
StatePublished - 2016
Event6th IFAC Workshop on Periodic Control Systems (PSYCO) - Eindhoven, Netherlands
Duration: 29 Jun 20161 Jul 2016

Scopus subject areas

  • Applied Mathematics

Keywords

  • boundary control
  • energy control
  • Speed-Gradient
  • sine-Gordon equation
  • FEEDBACK
  • STABILIZATION

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