Compensator design via the separation principle for a class of semilinear evolution equations
UDC 517.9 We establish a compensator design via the separation principle in the practical sense for a class of semilinear evolution equations in Hilbert spaces. Under a restriction imposed on the perturbation, which is bounded by an integrable function, we propose a nonlinear time-varying practical...
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| Дата: | 2022 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2022
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/6152 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | UDC 517.9
We establish a compensator design via the separation principle in the practical sense for a class of semilinear evolution equations in Hilbert spaces. Under a restriction imposed on the perturbation, which is bounded by an integrable function, we propose a nonlinear time-varying practical Luenberger observer to estimate the states of the system and prove that the Luenberger observer based on the linear controller stabilizes the system. An illustrative example is given to demonstrate the applicability of our theoretical results. |
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| DOI: | 10.37863/umzh.v74i8.6152 |