State feedback is mostly used in the active vibration control of structural systems. However, the most challenging problem is to achieve the whole state of the structure. Another issue in active vibration control is that, in many cases, only some particular modes need to be controlled, while the other modes can remain unchanged in order to save on the costs of the control. To solve the above issues, this paper proposes a state-observing method and conducts a non-spillover partial pole placement control using a multistep method. Using the finite element method, the electromechanical coupling equations of motion of the beam are formulated. The reduced finite element model is then obtained by using the system equivalent reduction expansion process method. Introducing the real measurements by sensors and applying the local corresponding principle, the modes of the structural system are corrected, which are then utilized to predict all the degrees of freedom without measuring by sensors. Then, the non-spillover partial pole placement based on the state feedback is conducted using the multistep method. The optimal locations of actuators are derived by the genetic algorithm to control the specific structural modes effectively. The numerical simulations and experimental studies are also carried out.

状态反馈主要用于结构系统的主动振动控制。然而，最具挑战性的问题是实现结构的整体状态。主动振动控制的另一个问题是，在许多情况下，只需要控制某些特定模式，而其他模式可以保持不变，以节省控制成本。针对上述问题，本文提出一种状态观测方法，并采用多步法进行无溢出部分极点配置控制。利用有限元方法，建立了梁运动的机电耦合方程。然后利用系统等效简化展开处理方法得到简化的有限元模型。引入传感器的真实测量结果，应用局部对应原理，对结构系统的模态进行校正，然后利用该模型来预测所有自由度，而无需传感器测量。然后，采用多步法进行基于状态反馈的非溢出部分极点配置。通过遗传算法导出执行器的最佳位置，以有效地控制特定的结构模式。还进行了数值模拟和实验研究。