中南大学学报（自然科学版）2025，Vol.56Issue(12)：5086-5098,13.DOI:10.11817/j.issn.1672-7207.2025.12.013
基于预设性能的预定义时间滑模磁悬浮系统控制
Predefined time sliding mode control for magnetic levitation systems based on preset performance
摘要
Abstract
A predefined time sliding mode control algorithm based on a new type of preset performance function was proposed to address the characteristics of the strongly nonlinear magnetic levitation system,such as its susceptibility to instability.Firstly,the system error was converted into the transformation error,and a novel asymmetric performance function was designed to reduce the system overshoot and ensure the system tracking error within the set range.Then,for the control problems caused by the input uncertainty,an uncertain input adjustment function was introduced into the preset performance function to improve the sensitivity of the uncertain input to the control of the magnetic levitation system.Subsequently,a predefined-time sliding mode surface was designed with the system control law and the predefined time-slip mode control algorithm was proposed according to the Lyapunov stability theory,which proved that the system was able to converge to the set equilibrium point within a predefined time.Finally,simulation and experimental validation of the single maglev system were carried out for the different operating conditions of the maglev belt conveyor.The results show that the proposed control method increases the speed in the response of the magnetic levitation system by 39%compared with the traditional sliding mode,and reduces the root mean square error by 36%.This new controller can effectively reduce the overshooting,speed up the response,and reduce the tracking error in the magnetic levitation system.关键词
不确定输入/磁悬浮系统/预定义时间滑模控制/预设性能函数Key words
uncertain input/magnetic levitation system/predefined-time sliding mode control/preset performance control分类
机械制造引用本文复制引用
胡坤,牛杰,蒋浩,陈卓..基于预设性能的预定义时间滑模磁悬浮系统控制[J].中南大学学报（自然科学版）,2025,56(12):5086-5098,13.基金项目
国家自然科学基金资助项目(52274153) （52274153）
安徽省高校学科拔尖人才学术资助项目(gxbjZD2022015) （gxbjZD2022015）
安徽理工大学研究生创新基金资助项目(2024cx1007)(Project(52274153)supported by the National Natural Science Foundation of China （2024cx1007）
Project(gxbjZD2022015)supported by the Top Talent Academic Support Program for Discipline Leaders in Anhui Province （gxbjZD2022015）
Project(2024cx1007)supported by the Graduate Student Innovation Fund of Anhui University of Technology) （2024cx1007）
