Evaluation of the weighted level of attenuation of external and initial disturbances in nonlinear systems
UDC 517.925.51; 681.5.03 We investigate the classes of nonlinear dynamical systems with bounded disturbances and functional uncertainties. Further, we develop the methods aimed at the evaluation of the generalized performance criterion for these systems, which characterizes the weighted levels of da...
Збережено в:
| Дата: | 2024 |
|---|---|
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2024
|
| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/8210 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: | |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | UDC 517.925.51; 681.5.03
We investigate the classes of nonlinear dynamical systems with bounded disturbances and functional uncertainties. Further, we develop the methods aimed at the evaluation of the generalized performance criterion for these systems, which characterizes the weighted levels of damping of external disturbances and the initial disturbances caused by an unknown initial vector. It is proposed to apply these methods in solving the generalized $H_\infty$-control problem for the analyzed classes of systems. An illustrative example of a pseudolinear control system with disturbance is presented. |
|---|---|
| DOI: | 10.3842/umzh.v76i8.8210 |