一类高阶非线性时滞系统的固定时间自适应控制OA
Fixed-time adaptive control for a class of high-order nonlinear time-delay systems
研究了一类具有未知时滞的高阶非线性系统的定时自适应控制问题.该文基于反演控制方法确定合适的L-K泛函,提出了一种统一的定时自适应控制方案.在控制器设计过程中,引入调节函数,避免了过参估计的发生.所提出的自适应控制器在时滞未知的情况下也可以保证闭环系统的全局固定时间稳定性,并且可以通过改变设计参数来调整上界.最后,通过仿真例子验证了所设计控制器的有效性.
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.
翟玉瑶;杨少华;李霞
曲阜师范大学自动化研究所曲阜师范大学自动化研究所曲阜师范大学网络空间安全学院,273165,山东省曲阜市
数理科学
固定时间稳定时间延迟调节函数自适应控制
fixed-time stabilitytime delayregulation functionadaptive control
《曲阜师范大学学报(自然科学版)》 2026 (1)
10-18,9
国家自然科学基金(62303264)山东省自然科学基金(ZR2022QF021,ZR2023QF115).
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