Delay/Disturbance-Tolerant Finite-Time Stabilization for Linear Systems: Inverse-Optimal Implicit-Lyapunov-Function Approach

• 成果类型: Article
• 署名作者: Wang, Peng; Shao, Xiaodong; Wang, Haibin; Chen, Mou
• 署名单位: Nanjing University of Aeronautics & Astronautics; Beihang University; Harbin University of Science & Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3593322
• 发表日期: 2025
• 关键词: stability; DESIGN

摘要

For a class of input-delayed disturbed linear systems, this article considers the problem of finite-time implicit-Lyapunov-function (ILF)-based control. With ILF as the evaluation of system performance, the established ILF optimality theorem reveals that the ILF-based controller minimizes a specific ILF-based meaningful cost index and provides finite-time stability. The inverse optimal idea facilitates the construction of ILF expression and exhibits two kinds of tuning weight parameters for design. Furthermore, to maintain the robustness to the input delay and disturbances, we have a tolerance set defined, according to which the controller is executed in a piecewise form. The theoretical findings are validated by numerical simulations.