Exponential-Alpha Safety Criteria of a Class of Dynamic Systems With Barrier Functions

doi:10.1109/JAS.2020.1003408

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	Exponential-Alpha Safety Criteria of a Class of Dynamic Systems With Barrier Functions
	Zheren Zhu; Yi Chai; Zhimin Yang; Chenghong Huang
刊名	IEEE/CAA Journal of Automatica Sinica
	2022
卷号	9 期号:11 页码:1939-1951
关键词	Barrier function dynamic system exponential-alpha multi-hypersphere method safety criteria
ISSN号	2329-9266
DOI	10.1109/JAS.2020.1003408
英文摘要	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.
内容类型	期刊论文
源URL	[http://ir.ia.ac.cn/handle/173211/49925]
专题	自动化研究所_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.