时滞线性系统振动主动控制的滑移模态方法  

Sliding-mode control method for linear vibration systems with time delay in control

作　　者：蔡国平[1] 黄金枝[1] 

机构地区：[1]上海交通大学工程力学系,上海200030

出　　处：《计算力学学报》2003年第2期244-249,共6页Chinese Journal of Computational Mechanics

摘　　要：直接从时滞微分方程求解控制律,对时滞线性系统振动主动控制的滑移模态方法进行了研究,并给出了控制具体实现过程。推导出的切换面和控制律表达式中,除了包含有当前的状态反馈外,还包含有前若干步控制的线性组合。算例结果显示,所提控制方法能够较好地控制系统的峰值响应,且能够保证控制系统的稳定性;若按无时滞控制设计对时滞系统进行振动控制,系统响应有可能出现发散。A sliding mode control method for the linear vibration systems with time delay in control was investigated in this paper, in which the controller is obtained directly by ayalyzing to the timedelay differential equation. The obtaind slidingmode surface and controller contain not only the current step of state feedback but also the linear combination of some former steps of control. The simulation results demonstrate that the presented control method is effective in the reducing maximum responses of the systems and system stability can be guaranteed by using this control method. The instability occurs possibly if the systems with time delay are controlled using the controller designed in the case of no time delay.

关 键 词：时滞 线性系统 滑模控制 滑模面 峰值响应 

分 类 号：TB535[理学—物理] O322[理学—声学]