Fixed-Time Lyapunov Criteria and State-Feedback Controller Design for Stochastic Nonlinear Systems
文献类型：期刊论文
| 作者 | Huifang Min; Shengyuan Xu; Baoyong Zhang; Qian Ma; Deming Yuan |
| 刊名 | IEEE/CAA Journal of Automatica Sinica
 |
| 出版日期 | 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. |
| 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. |
入库方式： OAI收割
来源：自动化研究所
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