Local robust stability on compact set for nonlinear systems with continuous time controller against to aperiodic sampling and disturbance
Abstract In this study, the stability of a sampled‐value control system with time‐ and state‐dependent disturbance and aperiodic sampling is investigated. To expand the application class of the sampled‐value controller, the local stability on a compact set is considered under the assumption of local...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
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| Series: | IET Control Theory & Applications |
| Online Access: | https://doi.org/10.1049/cth2.12367 |
| _version_ | 1828066499902832640 |
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| author | Kazuki Umemoto Takahiro Endo Fumitoshi Matsuno |
| author_facet | Kazuki Umemoto Takahiro Endo Fumitoshi Matsuno |
| author_sort | Kazuki Umemoto |
| collection | DOAJ |
| description | Abstract In this study, the stability of a sampled‐value control system with time‐ and state‐dependent disturbance and aperiodic sampling is investigated. To expand the application class of the sampled‐value controller, the local stability on a compact set is considered under the assumption of local Lipschitz continuity on the compact set. Because the assumption is weaker than the global Lipschitz continuity, the proposed stability analysis is applicable to a wider class of controlled systems. Global stability under the assumption of global Lipschitz continuity is also considered. The effectiveness of the derived stability condition is verified by conducting numerical simulations with some control parameters variations such as the disturbance magnitude and sample interval. |
| first_indexed | 2024-04-10T23:32:42Z |
| format | Article |
| id | doaj.art-4c7e187701da4fd6926f1f69f853aeba |
| institution | Directory Open Access Journal |
| issn | 1751-8644 1751-8652 |
| language | English |
| last_indexed | 2024-04-10T23:32:42Z |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Control Theory & Applications |
| spelling | doaj.art-4c7e187701da4fd6926f1f69f853aeba2023-01-12T04:30:37ZengWileyIET Control Theory & Applications1751-86441751-86522023-01-0117213314310.1049/cth2.12367Local robust stability on compact set for nonlinear systems with continuous time controller against to aperiodic sampling and disturbanceKazuki Umemoto0Takahiro Endo1Fumitoshi Matsuno2Department of Mechanical Engineering Nagaoka University of Technology Niigata JapanDepartment of Mechanical Engineering and Science Graduate School of Engineering Kyoto University Kyoto JapanDepartment of Mechanical Engineering and Science Graduate School of Engineering Kyoto University Kyoto JapanAbstract In this study, the stability of a sampled‐value control system with time‐ and state‐dependent disturbance and aperiodic sampling is investigated. To expand the application class of the sampled‐value controller, the local stability on a compact set is considered under the assumption of local Lipschitz continuity on the compact set. Because the assumption is weaker than the global Lipschitz continuity, the proposed stability analysis is applicable to a wider class of controlled systems. Global stability under the assumption of global Lipschitz continuity is also considered. The effectiveness of the derived stability condition is verified by conducting numerical simulations with some control parameters variations such as the disturbance magnitude and sample interval.https://doi.org/10.1049/cth2.12367 |
| spellingShingle | Kazuki Umemoto Takahiro Endo Fumitoshi Matsuno Local robust stability on compact set for nonlinear systems with continuous time controller against to aperiodic sampling and disturbance IET Control Theory & Applications |
| title | Local robust stability on compact set for nonlinear systems with continuous time controller against to aperiodic sampling and disturbance |
| title_full | Local robust stability on compact set for nonlinear systems with continuous time controller against to aperiodic sampling and disturbance |
| title_fullStr | Local robust stability on compact set for nonlinear systems with continuous time controller against to aperiodic sampling and disturbance |
| title_full_unstemmed | Local robust stability on compact set for nonlinear systems with continuous time controller against to aperiodic sampling and disturbance |
| title_short | Local robust stability on compact set for nonlinear systems with continuous time controller against to aperiodic sampling and disturbance |
| title_sort | local robust stability on compact set for nonlinear systems with continuous time controller against to aperiodic sampling and disturbance |
| url | https://doi.org/10.1049/cth2.12367 |
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