区域极点配置的状态反馈控制在高柔结构中的应用

摘要

AMD控制系统中被控结构一般采用简化的计算模型,导致不确定性因素的存在,包括高柔结构的质量以及刚度的偏差,将影响控制器设计的准确性,而发展高柔结构的鲁棒AMD控制策略对土木工程的结构振动控制具有重要的理论价值和工程应用前景.基于区域极点配置算法设计了相应的鲁棒AMD控制器,在控制增益的计算过程中考虑不确定结构参数对计算模型精度的不利影响,以此提高了系统的稳定性.以10层结构为数值分析对象,以控制效果、AMD控制参数为指标,将所提出的控制器与基于经典极点配置算法的常规控制器进行性能对比,分析结果表明:对于含有较大不确定性的结构模型,所提出的控制方法具有更良好的控制效果以及稳定的控制参数;最后以4层框架试验模型的AMD控制系统为实例,验证上述数值分析结论的正确性.%The controlled buildings with an AMD system generally use simplified calculation model.As a result,uncertainties including uncertain stiffness and mass of flexible buildings inevitably exist and will affect the design accuracy of the controller.The development of the robust AMD control strategy has important theoretical value and engineering application prospect for structural vibration control in civil engineering.In this paper,a robust controller based on regional pole assignment method is presented.In order to improve the stability of the system,the adverse influence of uncertain structural parameters on the accuracy of calculation model is considered in the calculation process of the control gain.A ten storey frame with an AMD system is established for numerical analysis,and its control effect and AMD parameters are regarded as the indexes.The performance comparison between the proposed controller and the conventional controller based on classical pole-assignment method is carried out.The results show that the proposed method has good control effect and stable control parameters for the flexible buildings with parameter uncertainty.Finally,a single span four-storey steel experimental frame with an AMD system is taken as an example to verify the conclusions.