Safe Stabilization for Stochastic Time-Delay Systems

• 成果类型: Article
• 署名作者: Pan, Zhuo-Rui; Ren, Wei; Sun, Xi-Ming
• 署名单位: Dalian University of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3329338
• 发表日期: 2024
• 页码: 1914-1920
• 关键词: Control barrier functionals; Krasovskii approach; safe stabilization; stochastic time-delay systems

摘要

This article addresses the safe stabilization problem of stochastic nonlinear time-delay systems. Based on the Krasovskii approach, we first propose a stochastic control Lyapunov-Krasovskii functional to guarantee the stabilization objective and a stochastic control barrier-Krasovskii functional to ensure the safety objective. Both functionals are developed, respectively, for each control objectives for the first time. Since the optimization problem is not easy to be resolved for stochastic time-delay systems, we derive a sliding mode-based approach to combine the proposed two functionals and to mediate stabilization and safety objectives, which allows to achieve the stabilization objective under the safety requirement. The proposed approach is illustrated via a numerical example.