Design method for sensitive restraint layer damping plate structural modal state observer

一种机敏约束层阻尼板结构模态状态观测器的设计方法

Abstract

The invention relates to a design method for sensitive restraint layer damping plate structural modal state observer, and belongs to the technical field of modal control. The design method includes the following steps: S1, establishing a structural dynamical model of a sensitive restraint layer damping plate structure; S2, writing out a state equation of a system, and performing combination and dimensionality reduction on a physical space and a state space; S3, achieving mapping from a complex number space to a real number space to obtain a lower dimension real modal control model; S4, selecting a main control mode of a research object through the modal rate of contribution; S5, determining the structure of the sensitive restraint layer damping plate structural modal state observer; and S6, solving a feedback gain matrix of the sensitive restraint layer damping plate structural modal state observer through a pole assignment method. The method can be applied to design of the sensitive restraint layer damping plate structural vibration modal state observer, can observe modal state variation of the sensitive restraint layer damping plate structure during vibration, is simple in principle, is easy to implement, and has high application value.
本发明涉及一种机敏约束层阻尼板结构模态状态观测器的设计方法,属于模态控制技术领域。该方法包括以下步骤:S1:建立机敏约束层阻尼板结构的结构动力学模型;S2:写出系统的状态方程,并进行物理空间与状态空间的组合降维;S3:实现复数空间向实数空间的映射,得到低维实模态控制模型;S4:通过模态贡献率选择研究对象的主控模态;S5:确定机敏约束层阻尼板结构模态状态观测器的结构;S6:通过极点配置法求出机敏约束层阻尼板结构模态状态观测器的反馈增益矩阵。本发明适用于机敏约束层阻尼板结构振动模态状态观测器的设计,可实现机敏约束层阻尼板结构振动时模态状态变量的观测;本方法原理简单,实现容易,具有较强的应用价值。

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