Fixed-Time Lyapunov Criteria and State-Feedback Controller Design for Stochastic Nonlinear Systems

doi:10.1109/JAS.2022.105539

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	Fixed-Time Lyapunov Criteria and State-Feedback Controller Design for Stochastic Nonlinear Systems
	Huifang Min; Shengyuan Xu; Baoyong Zhang; Qian Ma; Deming Yuan
刊名	IEEE/CAA Journal of Automatica Sinica
	2022
卷号	9 期号:6 页码:1005-1014
关键词	Fixed-time stability Lyapunov theorem state-feedback control stochastic nonlinear systems
ISSN号	2329-9266
DOI	10.1109/JAS.2022.105539
英文摘要	This paper investigates the fixed-time stability theorem and state-feedback controller design for stochastic nonlinear systems. We propose an improved fixed-time Lyapunov theorem with a more rigorous and reasonable proof procedure. In particular, an important corollary is obtained, which can give a less conservative upper-bound estimate of the settling time. Based on the backstepping technique and the addition of a power integrator method, a state-feedback controller is skillfully designed for a class of stochastic nonlinear systems. It is proved that the proposed controller can render the closed-loop system fixed-time stable in probability with the help of the proposed fixed-time stability criteria. Finally, the effectiveness of the proposed controller is demonstrated by simulation examples and comparisons.
内容类型	期刊论文
源URL	[http://ir.ia.ac.cn/handle/173211/47568]
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	Huifang Min,Shengyuan Xu,Baoyong Zhang,et al. Fixed-Time Lyapunov Criteria and State-Feedback Controller Design for Stochastic Nonlinear Systems[J]. IEEE/CAA Journal of Automatica Sinica,2022,9(6):1005-1014.
APA	Huifang Min,Shengyuan Xu,Baoyong Zhang,Qian Ma,&Deming Yuan.(2022).Fixed-Time Lyapunov Criteria and State-Feedback Controller Design for Stochastic Nonlinear Systems.IEEE/CAA Journal of Automatica Sinica,9(6),1005-1014.
MLA	Huifang Min,et al."Fixed-Time Lyapunov Criteria and State-Feedback Controller Design for Stochastic Nonlinear Systems".IEEE/CAA Journal of Automatica Sinica 9.6(2022):1005-1014.