Adaptive Prescribed-Time Stabilization of Uncertain Nonlinear Systems With Unknown Control Directions

• 成果类型: Article
• 署名作者: Hua, Chang-Chun; Li, Hao; Li, Kuo; Ning, Pengju
• 署名单位: Yanshan University; Hebei University of Science & Technology; University of Duisburg Essen
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3341761
• 发表日期: 2024
• 页码: 3968-3974
• 关键词: Nonlinear systems; Adaptive systems; control systems; Stability criteria; Time-varying systems; switches; Numerical stability; Adaptive control; Nussbaum functions; prescribed-time control; unknown control directions

摘要

This article studies the adaptive prescribed-time control problem for a class of nonlinear systems with unknown time-varying control coefficients. Existing methods for unknown control direction problems can only achieve asymptotic stability based on Barbalat's lemma. Different from these results, we present a new theorem in conjunction with Nussbaum functions to achieve the prescribed-time stability. Meanwhile, the conservative condition of Nussbaum parameters is relaxed under time-varying control coefficients, which increases the applicability of the control algorithm. Based on this theorem, an adaptive prescribed-time control method for high-order nonlinear systems is proposed, which guarantees that the state variables of the system converge to zero in a prescribed time rather than infinity. Finally, theoretical analysis and numerical simulations are provided to validate the effectiveness of the proposed method.