Event-Triggered Fixed-Time Stabilization of Two Time Scales Linear Systems

• 成果类型: Article
• 署名作者: Lei, Yan; Wang, Yan-Wu; Morarescu, Irinel-Constantin; Postoyan, Romain
• 署名单位: Huazhong University of Science & Technology; Huazhong University of Science & Technology; Huazhong University of Science & Technology; Centre National de la Recherche Scientifique (CNRS); Universite de Lorraine
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3151818
• 发表日期: 2023
• 页码: 1722-1729
• 关键词: Asymptotic stability; Symmetric matrices; Numerical stability; Stability criteria; STANDARDS; CONVERGENCE; Linear systems; event-triggered control; fixed-time stabilization; two time scales system

摘要

This article investigates the fixed-time stabilization of uncertain linear time-invariant systems exhibiting two time scales using a state-feedback event-triggered controller. We proceed by emulation and assume that we know a controller that solves the problem in the absence of sampling. We then take sampling into account and present an event-triggered strategy, which consists of two independent sampling mechanisms, associated with the slow and the fast subsystems, respectively. In this setting, the fixed-time stability property becomes practical, where the adjustable parameters are constants used to define the triggering rules. The existence of a strictly positive time between any two successive transmissions is ensured for each transmission law. A numerical example is provided to illustrate the effectiveness of the results.