曲阜师范大学学报（自然科学版）2026，Vol.52Issue(1)：10-18,9.DOI:10.3969/j.issn.1001-5337.202406.050
一类高阶非线性时滞系统的固定时间自适应控制
Fixed-time adaptive control for a class of high-order nonlinear time-delay systems
摘要
Abstract
The fixed-time adaptive control problem for a class of high-order nonlinear systems with un-known time delay is investigated.Based on the backstepping control method and appropriately constructed Lyapunov-Krasovskii(L-K)functionals,a unified fixed-time adaptive control scheme is proposed.During the controller design process,tuning functions are introduced to prevent over-parameterization.The devel-oped adaptive controller guarantees global fixed-time stability of the closed-loop system even when the time delays are unknown,while the upper bound of the settling time can be adjusted by modifying design parameters.Finally,a simulation example is provided to verify the effectiveness of the designed control strategy.关键词
固定时间稳定/时间延迟/调节函数/自适应控制Key words
fixed-time stability/time delay/regulation function/adaptive control分类
数理科学引用本文复制引用
翟玉瑶,杨少华,李霞..一类高阶非线性时滞系统的固定时间自适应控制[J].曲阜师范大学学报（自然科学版）,2026,52(1):10-18,9.基金项目
国家自然科学基金(62303264) （62303264）
山东省自然科学基金(ZR2022QF021,ZR2023QF115). （ZR2022QF021,ZR2023QF115）
