振动控制的最优反馈特征结构配置

Eigenstructure Assignment of Optimal Feedback in Vibration Control

依据系统响应与特征结构配置的内在关系，本文提出了振动控制的最优反馈特征结构配置，将目前尚未解决的控制指标参数选择与结构固有特性配置联系起来，针对结构所承受的载荷形式．利用多目标优化理论，确定出系统的理想特征结构，通过建立满足理想特征结构配置的目标函数以及保证最优性的Ｌｙａｐｕｎｏｖ约束方程；使经过优化求得的控制反馈具有满意的控制品质，而且消耗的控制能也最小。

Based on the inner relationship between system response and eigenstructure assignment, the eigenstructure assignment of optimal feedback in vibration control is suggested in this paper. The selection ofcontrol index paramenters currently unsolved is combined with the assignment of the eigen characteristicsof the structure. According to the load form of the structure endurance, the ideal eigenstructure of thesystem is determined by using the multi-objective optimal theory. Through the establishment of the objective function which satisfies the ideal eigenstructure assignment under the Lyapunov optimal constrainedcondition, the control feedback obtained after optimization not only possesses satisfastory control quality,but the consumes minimum control energy.