Global Adaptive Control for Uncertain Nonlinear Systems under Non-Lipschitz Condition with Quantized States
A novel adaptive control method is designed for the uncertain nonlinear systems with quantized states under the condition that system nonlinearities do not satisfy the Lipschitz condition. In this paper, the global control for an uncertain nonlinear system with quantized states in the case that the...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-10-01
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| Series: | Electronics |
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| Online Access: | https://www.mdpi.com/2079-9292/11/19/3160 |
| _version_ | 1797479762563694592 |
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| author | Caihao Sun Zongcheng Liu Yong Chen Yang Zhou Qingyang Qu |
| author_facet | Caihao Sun Zongcheng Liu Yong Chen Yang Zhou Qingyang Qu |
| author_sort | Caihao Sun |
| collection | DOAJ |
| description | A novel adaptive control method is designed for the uncertain nonlinear systems with quantized states under the condition that system nonlinearities do not satisfy the Lipschitz condition. In this paper, the global control for an uncertain nonlinear system with quantized states in the case that the system nonlinearities do not satisfy the Lipschitz condition is first achieved. Separation theorem is used to model the uncertainties appropriately and then an adaptive term is designed to help attenuate the effects of system uncertainties. Furthermore, the global boundedness of all signals of the closed-loop system is proved based on the Lyapunov stability theorem. Finally, simulation results are given to demonstrate the effectiveness of the proposed methods. |
| first_indexed | 2024-03-09T21:50:28Z |
| format | Article |
| id | doaj.art-0097b0bbaf1f49e2bcc6d27e329252a6 |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-03-09T21:50:28Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-0097b0bbaf1f49e2bcc6d27e329252a62023-11-23T20:07:19ZengMDPI AGElectronics2079-92922022-10-011119316010.3390/electronics11193160Global Adaptive Control for Uncertain Nonlinear Systems under Non-Lipschitz Condition with Quantized StatesCaihao Sun0Zongcheng Liu1Yong Chen2Yang Zhou3Qingyang Qu4Aviation Engineering School, Air Force Engineering University, Xi’an 710038, ChinaAviation Engineering School, Air Force Engineering University, Xi’an 710038, ChinaAviation Engineering School, Air Force Engineering University, Xi’an 710038, ChinaAviation Engineering School, Air Force Engineering University, Xi’an 710038, ChinaAviation Engineering School, Air Force Engineering University, Xi’an 710038, ChinaA novel adaptive control method is designed for the uncertain nonlinear systems with quantized states under the condition that system nonlinearities do not satisfy the Lipschitz condition. In this paper, the global control for an uncertain nonlinear system with quantized states in the case that the system nonlinearities do not satisfy the Lipschitz condition is first achieved. Separation theorem is used to model the uncertainties appropriately and then an adaptive term is designed to help attenuate the effects of system uncertainties. Furthermore, the global boundedness of all signals of the closed-loop system is proved based on the Lyapunov stability theorem. Finally, simulation results are given to demonstrate the effectiveness of the proposed methods.https://www.mdpi.com/2079-9292/11/19/3160state quantizationnon-Lipschitz continuity conditionadaptive controluncertain nonlinear |
| spellingShingle | Caihao Sun Zongcheng Liu Yong Chen Yang Zhou Qingyang Qu Global Adaptive Control for Uncertain Nonlinear Systems under Non-Lipschitz Condition with Quantized States Electronics state quantization non-Lipschitz continuity condition adaptive control uncertain nonlinear |
| title | Global Adaptive Control for Uncertain Nonlinear Systems under Non-Lipschitz Condition with Quantized States |
| title_full | Global Adaptive Control for Uncertain Nonlinear Systems under Non-Lipschitz Condition with Quantized States |
| title_fullStr | Global Adaptive Control for Uncertain Nonlinear Systems under Non-Lipschitz Condition with Quantized States |
| title_full_unstemmed | Global Adaptive Control for Uncertain Nonlinear Systems under Non-Lipschitz Condition with Quantized States |
| title_short | Global Adaptive Control for Uncertain Nonlinear Systems under Non-Lipschitz Condition with Quantized States |
| title_sort | global adaptive control for uncertain nonlinear systems under non lipschitz condition with quantized states |
| topic | state quantization non-Lipschitz continuity condition adaptive control uncertain nonlinear |
| url | https://www.mdpi.com/2079-9292/11/19/3160 |
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