Safe Stabilization for Stochastic Time-Delay Systems

Autor:	Pan, Zhuo-Rui, Ren, Wei, Sun, Xi-Ming
Rok vydání:	2022
Předmět:	Electrical Engineering and Systems Science - Systems and Control Mathematics - Optimization and Control
Druh dokumentu:	Working Paper
DOI:	10.1109/TAC.2023.3329338
Popis:	This paper addresses the safe stabilization problem of stochastic nonlinear time-delay systems. Based on theKrasovskii 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. Comment: 7 pages, 8 figures. Accepted by IEEE TAC as a Technical Note. arXiv admin note: text overlap with arXiv:2204.12106
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2211.11130 Zobrazit plný text záznamu View this record from Arxiv