Knowledge Commons of Institute of Automation，CAS
| Exponential-Alpha Safety Criteria of a Class of Dynamic Systems With Barrier Functions | |
| Zheren Zhu; Yi Chai; Zhimin Yang; Chenghong Huang | |
| 发表期刊 | IEEE/CAA Journal of Automatica Sinica
 |
| ISSN | 2329-9266 |
| 2022 | |
| 卷号 | 9期号:11页码:1939-1951 |
| 摘要 | A classic kind of researches about the operational safety criterion for dynamic systems with barrier function can be roughly summarized as functional relationship, denoted by $\oplus $, between the barrier function and its first derivative for time $t$, where $\oplus $ can be “=”, “$< $”, or “$> $”, etc. This article draws on the form of the stable condition expression for finite time stability to formulate a novel kind of relaxed safety judgement criteria called exponential-alpha safety criteria. Moreover, we initially explore to use the control barrier function under exponential-alpha safety criteria to achieve the control for the dynamic system operational safety. In addition, derived from the actual process systems, we propose multi-hypersphere methods which are used to construct barrier functions and improved them for three types of special spatial relationships between the safe state set and the unsafe state set, where both of them can be spatially divided into multiple subsets. And the effectiveness of the proposed safety criteria are demonstrated by simulation examples. |
| 关键词 | Barrier function dynamic system exponential-alpha multi-hypersphere method safety criteria |
| DOI | 10.1109/JAS.2020.1003408 |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.ia.ac.cn/handle/173211/49925 |
| 专题 | 学术期刊_IEEE/CAA Journal of Automatica Sinica |
| 推荐引用方式 GB/T 7714 | Zheren Zhu,Yi Chai,Zhimin Yang,et al. Exponential-Alpha Safety Criteria of a Class of Dynamic Systems With Barrier Functions[J]. IEEE/CAA Journal of Automatica Sinica,2022,9(11):1939-1951. |
| APA | Zheren Zhu,Yi Chai,Zhimin Yang,&Chenghong Huang.(2022).Exponential-Alpha Safety Criteria of a Class of Dynamic Systems With Barrier Functions.IEEE/CAA Journal of Automatica Sinica,9(11),1939-1951. |
| MLA | Zheren Zhu,et al."Exponential-Alpha Safety Criteria of a Class of Dynamic Systems With Barrier Functions".IEEE/CAA Journal of Automatica Sinica 9.11(2022):1939-1951. |
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| JAS-2020-0621.pdf（8454KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | 浏览 | |
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