DOI

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.

Язык оригиналаанглийский
Страницы (с-по)54-59
Число страниц6
ЖурналIFAC-PapersOnLine
Том52
Номер выпуска16
DOI
СостояниеОпубликовано - сен 2019
Событие11th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2019 - Vienna, Австрия
Продолжительность: 4 сен 20196 сен 2019

    Предметные области Scopus

  • Системотехника
  • Математика (все)
  • Компьютерные науки (все)

ID: 75995338