Memory State Feedback Control of Maglev Vehicle Subject to Output Time-Delay Based on T-S Fuzzy Model

Yougang Sun, Si-Lian Xie, Chen Chen, Junqi Xu
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Abstract

Due to the characteristics of no wear, no noise and high comfort, maglev train is one of the hotspots in the field of modern vehicles. The analog signals measured by sensors are digitized by networked levitation control system. When data frames are sent to the network, network-induced delay will occur. Therefore, the time delay of the control system is inevitable. Delays can reduce the stability of the system and may lead to Hopf bifurcation. However, the vibration phenomena of maglev vehicles are closely related to the occurrence of Hopf bifurcation, which makes it possible to cause coupled vibration between vehicle and rail. Firstly, the mathematical model of maglev vehicle suspension system is established, and then it is transformed into T-S fuzzy model with global nonlinearity. Then, aiming at the time-delay phenomenon of airgap feedback, the controller with memoryless state feedback and the controller with memory state feedback are designed respectively. The simulation and experimental results show that the control law with memory state feedback can achieve stable suspension better and restrain the influence of time delay on the system.
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基于T-S模糊模型的输出时滞磁悬浮车辆记忆状态反馈控制
磁悬浮列车以其无磨损、无噪音、舒适性高等特点,成为现代交通工具领域的研究热点之一。通过网络悬浮控制系统对传感器测量的模拟信号进行数字化处理。当数据帧发送到网络时,会发生网络引起的延迟。因此,控制系统的时滞是不可避免的。延迟会降低系统的稳定性,并可能导致Hopf分岔。然而,磁悬浮车辆的振动现象与Hopf分岔的发生密切相关,这使得车辆与轨道之间的耦合振动成为可能。首先建立了磁悬浮车辆悬架系统的数学模型,然后将其转化为全局非线性的T-S模糊模型。然后,针对气隙反馈的时滞现象,分别设计了无记忆状态反馈控制器和有记忆状态反馈控制器。仿真和实验结果表明,带有记忆状态反馈的控制律能较好地实现稳定悬架,抑制了时滞对系统的影响。
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