该文对密集频率柔性板的模型降阶和主动控制进行研究,其中动力学建模采用有限元方法,模型降阶采用内平衡降阶准则,控制设计采用最优控制方法。研究中将内平衡降阶方法和模态价值降阶方法进行了数值对比研究。仿真结果显示,内平衡模型降阶方法是一种有效的模型降阶方法,能够处理密频情况下的模型降阶问题。 In this paper, the model reduction and active control of dense frequency flexible plate are studied. Among them, the finite element method is adopted for dynamic modeling, the internal balance reduction criterion is adopted for model reduction, and the optimal control method is adopted for control design. In the study, the method of internal balance reduction and modal value reduction are studied numerically. The simulation results show that the method of order reduction of the inner-balance model is an effective method to reduce the order of the model, which can deal with the model reduction problem under the condition of frequent frequency.