Fixed-Time Stabilization of Uncertain Continuous-Time Systems With Sampled Control

• 成果类型: Article
• 署名作者: Mazenc, Frederic; Malisoff, Michael
• 署名单位: Centre National de la Recherche Scientifique (CNRS); Universite Paris Saclay; Inria; Louisiana State University System; Louisiana State University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3601020
• 发表日期: 2026
• 关键词: stability; input

摘要

We prove fixed-time stabilization estimates using sampled controls, for continuous-time time-varying linear systems that can contain uncertain coefficient matrices. In the special case where the coefficient matrices are known, this yields a fixed-time input-to-state stability property, in which the norm of the current state is bounded from above by a supremum of the uncertainty that is calculated over a finite length time interval of a constant length. We also prove analogs for output feedback stabilization with unknown measurement delays and for nonlinear systems with state delays and outputs. We illustrate our work using a pendulum dynamics with an unknown control gain and poorly known friction.