Boundary energy control of a system governed by the nonlinear Klein–Gordon equation

Research output

6 Citations (Scopus)

Abstract

The boundary energy control problem for the sine-Gordon and the nonlinear Klein–Gordon equations is posed. Two control laws solving this problem based on the 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 algorithm for an undamped nonlinear elastic string demonstrate attainability of the control goal for the cases of both decreasing and increasing systems’ energy and show high rate of vanishing of the control error.

Original languageEnglish
Article number7
JournalMathematics of Control, Signals, and Systems
Volume30
Issue number1
DOIs
Publication statusPublished - 1 Mar 2018

Scopus subject areas

  • Control and Systems Engineering
  • Signal Processing
  • Control and Optimization
  • Applied Mathematics

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