A New Adaptive Designated-Time Stabilizing Strategy for Uncertain Time-Varying Nonlinear Systems

• 成果类型: Article
• 署名作者: Sun, Zong-Yao; Li, Jiao-Jiao; Wen, Changyun; Chen, Chih-Chiang
• 署名单位: Qufu Normal University; Nanyang Technological University; National Cheng Kung University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3435913
• 发表日期: 2025
• 页码: 579-586
• 关键词: Nonlinear systems; Adaptive systems; CONVERGENCE; Time-varying systems; Upper bound; uncertainty; sun; Designated-time stabilization; state scaling technique; uncertain time-varying nonlinear system

摘要

This article explores the adaptive designated-time stabilizing strategy for a class of uncertain time-varying nonlinear systems. The inspiration is driven by two challenging issues that remain unsolved in the field of prescribed-time stabilization: first, the singularity induced by infinity control magnitudes at the prescribed time instant, and second, the incapability of driving state behavior after the prescribed time. To tackle the challenges, we formulate a hybrid stabilizing controller by utilizing both the state-scaling technique and a finite-time stabilizing process, which is bounded on the whole-time horizon and guarantees the existence of the solutions of the closed-loop system. Superior to the current prescribed-time stabilization results, the proposed strategy is not only able to ensure that the states of the closed-loop system converge to a compact set within a designated time and belongs to the set afterward, and enjoys finite-time convergence ultimately, but also manipulate intricate dynamics and parameter uncertainties effectively. Finally, simulation examples are given to demonstrate the validity of the proposed strategy.