Результаты исследований: Научные публикации в периодических изданиях › статья в журнале по материалам конференции › Рецензирование
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 оригинала | английский |
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Страницы (с-по) | 54-59 |
Число страниц | 6 |
Журнал | IFAC-PapersOnLine |
Том | 52 |
Номер выпуска | 16 |
DOI | |
Состояние | Опубликовано - сен 2019 |
Событие | 11th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2019 - Vienna, Австрия Продолжительность: 4 сен 2019 → 6 сен 2019 |
ID: 75995338