Event-Triggered <inline-formula> <tex-math notation="LaTeX">${H}_{\infty}$ </tex-math></inline-formula> Control for Uncertain Markov Jump Systems With Nonlinear Input
This paper investigates the robust event-triggered control scheme for discrete-time Markov jump systems with nonlinear input. An event-based strategy is addressed to reduce the data communication and improve the control efficiency. A Lyaounov function method is utilized to analysis the mean square s...
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| Format: | Article |
| Language: | English |
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IEEE
2019-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8789470/ |
| _version_ | 1818480062317461504 |
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| author | Yueyuan Zhang Fei Liu |
| author_facet | Yueyuan Zhang Fei Liu |
| author_sort | Yueyuan Zhang |
| collection | DOAJ |
| description | This paper investigates the robust event-triggered control scheme for discrete-time Markov jump systems with nonlinear input. An event-based strategy is addressed to reduce the data communication and improve the control efficiency. A Lyaounov function method is utilized to analysis the mean square stability and sufficient conditions are obtained in the form of linear matrix inequalities. Convex combination approach is utilized to handle nonlinear input while parameter uncertainty and external disturbances are both included and the robustness <inline-formula> <tex-math notation="LaTeX">${H}_{\infty}$ </tex-math></inline-formula> performance is analyzed. Finally, a numerical example is shown to compare the different schemes and a mass spring damping system is given to illustrate the effectiveness of the provided method. |
| first_indexed | 2024-12-10T11:18:15Z |
| format | Article |
| id | doaj.art-960d83e7649d42d084959beb8f563f61 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-10T11:18:15Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-960d83e7649d42d084959beb8f563f612022-12-22T01:51:05ZengIEEEIEEE Access2169-35362019-01-01710894010894710.1109/ACCESS.2019.29334748789470Event-Triggered <inline-formula> <tex-math notation="LaTeX">${H}_{\infty}$ </tex-math></inline-formula> Control for Uncertain Markov Jump Systems With Nonlinear InputYueyuan Zhang0https://orcid.org/0000-0002-1612-2710Fei Liu1Key Laboratory of Advanced Process Control for Light Industry, Institute of Automation, Ministry of Education, Jiangnan University, Wuxi, ChinaKey Laboratory of Advanced Process Control for Light Industry, Institute of Automation, Ministry of Education, Jiangnan University, Wuxi, ChinaThis paper investigates the robust event-triggered control scheme for discrete-time Markov jump systems with nonlinear input. An event-based strategy is addressed to reduce the data communication and improve the control efficiency. A Lyaounov function method is utilized to analysis the mean square stability and sufficient conditions are obtained in the form of linear matrix inequalities. Convex combination approach is utilized to handle nonlinear input while parameter uncertainty and external disturbances are both included and the robustness <inline-formula> <tex-math notation="LaTeX">${H}_{\infty}$ </tex-math></inline-formula> performance is analyzed. Finally, a numerical example is shown to compare the different schemes and a mass spring damping system is given to illustrate the effectiveness of the provided method.https://ieeexplore.ieee.org/document/8789470/Event-triggered control scheme<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">H</italic>∞ performance indexnonlinear input |
| spellingShingle | Yueyuan Zhang Fei Liu Event-Triggered <inline-formula> <tex-math notation="LaTeX">${H}_{\infty}$ </tex-math></inline-formula> Control for Uncertain Markov Jump Systems With Nonlinear Input IEEE Access Event-triggered control scheme <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">H</italic>∞ performance index nonlinear input |
| title | Event-Triggered <inline-formula> <tex-math notation="LaTeX">${H}_{\infty}$ </tex-math></inline-formula> Control for Uncertain Markov Jump Systems With Nonlinear Input |
| title_full | Event-Triggered <inline-formula> <tex-math notation="LaTeX">${H}_{\infty}$ </tex-math></inline-formula> Control for Uncertain Markov Jump Systems With Nonlinear Input |
| title_fullStr | Event-Triggered <inline-formula> <tex-math notation="LaTeX">${H}_{\infty}$ </tex-math></inline-formula> Control for Uncertain Markov Jump Systems With Nonlinear Input |
| title_full_unstemmed | Event-Triggered <inline-formula> <tex-math notation="LaTeX">${H}_{\infty}$ </tex-math></inline-formula> Control for Uncertain Markov Jump Systems With Nonlinear Input |
| title_short | Event-Triggered <inline-formula> <tex-math notation="LaTeX">${H}_{\infty}$ </tex-math></inline-formula> Control for Uncertain Markov Jump Systems With Nonlinear Input |
| title_sort | event triggered inline formula tex math notation latex h infty tex math inline formula control for uncertain markov jump systems with nonlinear input |
| topic | Event-triggered control scheme <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">H</italic>∞ performance index nonlinear input |
| url | https://ieeexplore.ieee.org/document/8789470/ |
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