Adaptive Fixed-Time Stabilization for a Class of Uncertain Nonlinear Systems

• 成果类型: Article
• 署名作者: Meng, Qingtan; Ma, Qian; Shi, Yang
• 署名单位: Nanjing University of Science & Technology; University of Victoria
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3244151
• 发表日期: 2023
• 页码: 6929-6936
• 关键词: adaptive control; backstepping method; fixed-time control; uncertain nonlinear system.

摘要

This article studies the problem of fixed-time stabilization for a class of nonlinear systems with parameteric uncertainties, where the nonlinear functions are constrained by an unknown linear growth condition. By establishing a new adaptive fixed-time stability analysis criterion, it is proved that the closed-loop system is fixed-time stable and all the states can be regulated to zero. In addition, the singularity problem caused by the back-stepping method under fixed-time control can be avoided. Finally, the effectiveness of the control strategy is verified by a simulation example.