Event-triggered integral sliding mode control for uncertain networked linear control systems with quantization
In this paper, the integral sliding mode (ISM, SM) controller is designed to address the problem of implementing non-periodic sampled data for a class of networked linear systems with matched and unmatched uncertainties. Due to the redesigned gain of the nominal controller, the feedback control used...
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| Format: | Article |
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AIMS Press
2023-08-01
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| Serija: | Mathematical Biosciences and Engineering |
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| Online dostop: | https://www.aimspress.com/article/doi/10.3934/mbe.2023744?viewType=HTML |
| _version_ | 1827805525783347200 |
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| author | Xinggui Zhao Bo Meng Zhen Wang |
| author_facet | Xinggui Zhao Bo Meng Zhen Wang |
| author_sort | Xinggui Zhao |
| collection | DOAJ |
| description | In this paper, the integral sliding mode (ISM, SM) controller is designed to address the problem of implementing non-periodic sampled data for a class of networked linear systems with matched and unmatched uncertainties. Due to the redesigned gain of the nominal controller, the feedback control used by the nominal controller guarantees the asymptotic stability of the uncertain networked linear system. The discontinuous control uses intermittent control based on the reaching law to achieve the finite-time reachability of practical SM band. Based on the defined measurement error, the event-triggered (ET) condition can be derived, and furthermore, it guarantees a sufficient condition for the existence of the actual SM. On this basis, a quantization scheme is added to further decrease the network transmission burden of the linear system. No Zeno behavior occurs in the system owing to the existence of a positive lower bound of inter-event time. Compared with the conventional integral sliding mode control (ISMC, SMC), the proposed control law can not only relieve the network burden, but also decrease the transmission energy loss. Finally, simulation results of a numerical example and a mass-spring damping system demonstrate the effectiveness of the proposed method. |
| first_indexed | 2024-03-11T21:27:25Z |
| format | Article |
| id | doaj.art-fc83a9c7c3e54d2a8d79ce9fbf0fe628 |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-03-11T21:27:25Z |
| publishDate | 2023-08-01 |
| publisher | AIMS Press |
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| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-fc83a9c7c3e54d2a8d79ce9fbf0fe6282023-09-28T01:14:47ZengAIMS PressMathematical Biosciences and Engineering1551-00182023-08-01209167051672410.3934/mbe.2023744Event-triggered integral sliding mode control for uncertain networked linear control systems with quantizationXinggui Zhao0Bo Meng1Zhen Wang2College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaIn this paper, the integral sliding mode (ISM, SM) controller is designed to address the problem of implementing non-periodic sampled data for a class of networked linear systems with matched and unmatched uncertainties. Due to the redesigned gain of the nominal controller, the feedback control used by the nominal controller guarantees the asymptotic stability of the uncertain networked linear system. The discontinuous control uses intermittent control based on the reaching law to achieve the finite-time reachability of practical SM band. Based on the defined measurement error, the event-triggered (ET) condition can be derived, and furthermore, it guarantees a sufficient condition for the existence of the actual SM. On this basis, a quantization scheme is added to further decrease the network transmission burden of the linear system. No Zeno behavior occurs in the system owing to the existence of a positive lower bound of inter-event time. Compared with the conventional integral sliding mode control (ISMC, SMC), the proposed control law can not only relieve the network burden, but also decrease the transmission energy loss. Finally, simulation results of a numerical example and a mass-spring damping system demonstrate the effectiveness of the proposed method.https://www.aimspress.com/article/doi/10.3934/mbe.2023744?viewType=HTMLintegral sliding mode controlevent-triggered controlquantization feedback controlnetworked systems |
| spellingShingle | Xinggui Zhao Bo Meng Zhen Wang Event-triggered integral sliding mode control for uncertain networked linear control systems with quantization Mathematical Biosciences and Engineering integral sliding mode control event-triggered control quantization feedback control networked systems |
| title | Event-triggered integral sliding mode control for uncertain networked linear control systems with quantization |
| title_full | Event-triggered integral sliding mode control for uncertain networked linear control systems with quantization |
| title_fullStr | Event-triggered integral sliding mode control for uncertain networked linear control systems with quantization |
| title_full_unstemmed | Event-triggered integral sliding mode control for uncertain networked linear control systems with quantization |
| title_short | Event-triggered integral sliding mode control for uncertain networked linear control systems with quantization |
| title_sort | event triggered integral sliding mode control for uncertain networked linear control systems with quantization |
| topic | integral sliding mode control event-triggered control quantization feedback control networked systems |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2023744?viewType=HTML |
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