控制与信息技术Issue(3)：45-52,8.DOI:10.13889/j.issn.2096-5427.2024.03.100
滑模控制系统中的芝诺行为研究
Research on Zeno Behavior in Sliding-mode Control Systems
摘要
Abstract
Sliding-mode controllers,typically featuring variable structures and a discontinuous mode,have been widely applied due to their robustness and straightforward structures.However,their switching characteristics also introduce adverse effects such as chattering and switching delays.This paper focuses on explaining and analyzing chattering in sliding-mode control systems from novel perspectives surrounding hybrid dynamics and Zeno behavior.An initial analysis on an ideal sliding-mode control system capable of switching control signals instantaneously at any frequency,revealed the sufficient conditions for Zeno behavior occurrences.Subsequent investigations incorporated constraints of switching devices in two types of sliding-mode controllers in real applications:those with a lower bound on positive switching intervals and those exhibiting hysteresis.Building upon the theoretical results related to the Zeno behavior in the ideal sliding-mode controller,this study examined the correlation between chattering in these two types of sliding-mode control systems and the Zeno behavior of the ideal sliding-mode controller.The study results finally demonstrated the impracticality of ideal sliding-mode controllers and the inevitability of chattering in sliding-mode controllers in practical applications.关键词
滑模控制/混杂动力学系统/芝诺行为/抖振现象Key words
sliding-mode control/hybrid dynamical systems/Zeno behavior/chattering分类
计算机与自动化引用本文复制引用
王忠明,于灏..滑模控制系统中的芝诺行为研究[J].控制与信息技术,2024,(3):45-52,8.基金项目
国家自然科学基金优秀青年科学基金项目(海外) （海外）
