Sampling zero stability in sampled data control systems with delays using backward triangle sample and hold
Abstract The impact of time delays on the stability of sampling zeros in sampled-data (SD) control systems is investigated. While delays, arising from communication and computational latencies, are known to critically influence zero-dynamics stability, their specific effect on sampling zeros remains...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2025-07-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-025-13054-8 |
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| author | Minghui Ou Yuancheng Luo Zhenjie Yan Yuanfei Deng Yu Zhou Cheng Zeng |
| author_facet | Minghui Ou Yuancheng Luo Zhenjie Yan Yuanfei Deng Yu Zhou Cheng Zeng |
| author_sort | Minghui Ou |
| collection | DOAJ |
| description | Abstract The impact of time delays on the stability of sampling zeros in sampled-data (SD) control systems is investigated. While delays, arising from communication and computational latencies, are known to critically influence zero-dynamics stability, their specific effect on sampling zeros remains less explored. This work establishes novel conditions for sampling zero stability under time delays, employing the Backward Triangle Sample-and-Hold (BTSH) method for signal reconstruction. In particular, we analyze the asymptotic behavior of sampling zeros with respect to the system’s relative degree and delay magnitude using BTSH. Moreover, through this analysis, we derive explicit stability conditions for these zeros, crucial for overall system performance. Finally, we provide a comparative analysis contrasting the stability properties under BTSH with those under the conventional Zero-Order Hold (ZOH) method in delayed settings. The theoretical findings are validated through a detailed numerical example, demonstrating the distinct advantages of BTSH in managing delay-induced zero-dynamics challenges. |
| format | Article |
| id | doaj-art-cbc2f321217c4f6a8e44d46243ebd563 |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-cbc2f321217c4f6a8e44d46243ebd5632025-08-20T03:42:48ZengNature PortfolioScientific Reports2045-23222025-07-0115111610.1038/s41598-025-13054-8Sampling zero stability in sampled data control systems with delays using backward triangle sample and holdMinghui Ou0Yuancheng Luo1Zhenjie Yan2Yuanfei Deng3Yu Zhou4Cheng Zeng5College of Big Data and Internet of Things, Chongqing Vocational Institute of EngineeringCollege of Big Data and Internet of Things, Chongqing Vocational Institute of EngineeringCollege of Big Data and Internet of Things, Chongqing Vocational Institute of EngineeringChongqing Branch of China Academy of Industrial InternetCollege of Finance and Tourism, Chongqing Vocational Institute of EngineeringCollege of Science, Guizhou Institute of TechnologyAbstract The impact of time delays on the stability of sampling zeros in sampled-data (SD) control systems is investigated. While delays, arising from communication and computational latencies, are known to critically influence zero-dynamics stability, their specific effect on sampling zeros remains less explored. This work establishes novel conditions for sampling zero stability under time delays, employing the Backward Triangle Sample-and-Hold (BTSH) method for signal reconstruction. In particular, we analyze the asymptotic behavior of sampling zeros with respect to the system’s relative degree and delay magnitude using BTSH. Moreover, through this analysis, we derive explicit stability conditions for these zeros, crucial for overall system performance. Finally, we provide a comparative analysis contrasting the stability properties under BTSH with those under the conventional Zero-Order Hold (ZOH) method in delayed settings. The theoretical findings are validated through a detailed numerical example, demonstrating the distinct advantages of BTSH in managing delay-induced zero-dynamics challenges.https://doi.org/10.1038/s41598-025-13054-8ZerosStabilityBackward triangle sample and holdTime-delay |
| spellingShingle | Minghui Ou Yuancheng Luo Zhenjie Yan Yuanfei Deng Yu Zhou Cheng Zeng Sampling zero stability in sampled data control systems with delays using backward triangle sample and hold Scientific Reports Zeros Stability Backward triangle sample and hold Time-delay |
| title | Sampling zero stability in sampled data control systems with delays using backward triangle sample and hold |
| title_full | Sampling zero stability in sampled data control systems with delays using backward triangle sample and hold |
| title_fullStr | Sampling zero stability in sampled data control systems with delays using backward triangle sample and hold |
| title_full_unstemmed | Sampling zero stability in sampled data control systems with delays using backward triangle sample and hold |
| title_short | Sampling zero stability in sampled data control systems with delays using backward triangle sample and hold |
| title_sort | sampling zero stability in sampled data control systems with delays using backward triangle sample and hold |
| topic | Zeros Stability Backward triangle sample and hold Time-delay |
| url | https://doi.org/10.1038/s41598-025-13054-8 |
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