重复结构振动控制的降维方法

提出了对称结构、旋转周期结构和链式结构的振动控制的降维方法．以某种对称的方式设置广义坐标的凝聚、传感器、驱动器的位置以及输入与控制力的关系，即可使控制系统具有和结构同样的重复性．对凝聚了的广义坐标和系统输入采用适当的变换，即可通过执行一些子结构的控制问题实现整体系统的振动控制，从而使控制问题的维度显著降低．

Reduction Approaches for Vibration Control of Repetitive Structures

The reduction approaches are presented for vibration control of symmetric, cyclic periodic and linking stnlctures. The condensation of generalized coordinates, the location of sensors and actuators, and the relation between system inputs and control forces were assumed to be set in a symmetric way so that the control system possess the same repetition as the structure considered. By employing proper transformations of condensed generalized coordinates and the system inputS, the vibration control of an entire system can be implemented by carrying out the control of a number of substructures, and thus the dimension of the control problem can be significantly reduced.