结构振动系统的模态解耦控制

Modes Decoupling Control for Structural Vibration Systems

基于特征结构配置的参数化结果，给出了实现结构振动系统模态解耦的充要条件，导出了期望的反馈增益阵及闭环特征向量矩阵的全体参数化表示。该方法在实现模态解耦的同时，还提供了全部自由度，可用来实现系统设计中某些性能要求。该方法直接基于原系统的参数矩阵，便于工程应用。三级质量弹簧系统的实例表明该方法有效。

Based on the parametric results for eigenstructure assignment, sufficient and necessary conditions for structural vibration systems modes decoupling are proposed in this paper. Under these conditions, all the desired state feedback laws and all the desired closed-loop eigenvector matrices are established. This parametric method offers not only all the parametric expressions for the modes decoupling controllers, but also all the degrees of freedom that can be further utilized to satisfy additional performance specifications in practical control system designs. This method involves directly the original data, thus it is convenient to use. An illustrative example of a three-degree-quality spring system shows the effectiveness of the proposed parametric method.