考虑时滞的结构AMD系统控制方法与效果分析  

Control Method and Effect Analysis of Structure AMD System Considering Time Delay

作　　者：陈茂生[1] 王修勇[1] 孙洪鑫[1] 李建强[1] 

机构地区：[1]湖南科技大学土木工程学院,湖南湘潭411201

出　　处：《噪声与振动控制》2015年第6期17-21,共5页Noise and Vibration Control

基　　金：国家自然科学基金资助项目(51378203)

摘　　要：无线传感器网络的特点使得控制系统中不可避免地存在时滞,从而导致作动器产生的控制力不能及时地施加到结构上,影响控制效果。从考虑时滞的结构主动质量阻尼(AMD)控制系统的状态微分方程求得控制律,研究时滞线性系统振动的主动最优化控制方法并给出具体的实现过程。设计出的控制律表达式中既包括当前的状态反馈,又包括前若干步控制项的线性组合。若仍按无时滞控制设计对时滞控制系统进行控制将可能导致系统的响应发散,达不到对受控结构减振的目的。仿真算例表明,在一定的时滞量范围内,所提方法能够对结构的峰值响应和均方值响应均能达到较好的控制效果,而且确保了系统的稳定性。The characteristic of wireless sensor network makes the time delay inevitable in the control system, so that the control force produced by the actuator cannot be timely applied to the structure, which reduces the control effect. In this paper, the control law of the system was obtained by solving the state differential equation of the structure AMD (Active Mass Damper) control system considering the time delay. The active optimal control method for linear vibration systems considering the time delay was studied and its implementation process was given. The designed control law expression contained the current step state feedback and the linear combination of the control terms in some previous steps. The instability in responses may occur if the systems with time delay are controlled by using the control law designed in the case of no time delay, failing to realize the goal of reducing the vibration of the controlled structure. The simulation results demonstrate that in a certain range of time delay, the presented control method is effective in reducing the maximum responses and mean square responses of the systems and the systems stability can be guaranteed by using this control method.

关 键 词：振动与波 无线传感器网络 时滞 结构AMD控制系统 最优控制 均方值响应 

分 类 号：TU311.3[建筑科学—结构工程] TB535[理学—物理]