烟台大学学报（自然科学与工程版）2026，Vol.39Issue(2)：125-133,9.DOI:10.13951/j.cnki.37-1213/n.250905
随机拉格朗日系统的预设时间实际跟踪控制
Prescribed-Time Practical Tracking Control for Stochastic Lagrangian Systems
摘要
Abstract
In this paper,the prescribed-time practical tracking problem for a class of stochastic Lagrangian systems is investigated.The inherent nonlinearity,coupling,and stochastic noice increase the difficulty of controller design.To overcome the unbounded issue of prescribed-time control gain,a novel bounded prescribed-time adjust-ment function is introduced.Subsequently,by using a transformation,a tunning vector-form prescribed-time controller is designed,ensuring that all signals of the closed-loop system remain bounded in probability.The fourth-order moment of the tracking error can be adjusted to achieve any preset accuracy with the prescribed time via parameter tunning,and the tracking performance is independent of initial conditions.Finally,simulation verifica-tion is carried out on a nonlinear benchmark system in a stochastic vibration environment.The results confirm the effectiveness of the proposed control strategy.关键词
预设时间控制/随机拉格朗日系统/实际跟踪控制Key words
prescribed-time control/stochastic Lagrangian systems/practical tracking control分类
数理科学引用本文复制引用
郑格格,崔明月,王蒂..随机拉格朗日系统的预设时间实际跟踪控制[J].烟台大学学报（自然科学与工程版）,2026,39(2):125-133,9.基金项目
国家自然科学基金资助项目(62073275) （62073275）
山东省自然科学基金资助项目(ZR2021MA102). （ZR2021MA102）
