基于LMI的压电智能板的H_∞振动控制  

H_∞ Vibration Control of Piezo-Intelligent Plate Based on Linear Matrix Inequality

作　　者：陈建军[1] 李姣枫[1] 王小兵[1] 陈龙[1] 

机构地区：[1]西安电子科技大学机电工程学院,西安710071

出　　处：《振动．测试与诊断》2008年第3期201-205,共5页Journal of Vibration,Measurement & Diagnosis

基　　金：国家"八六三"资助项目(编号:2006AA04Z402);陕西省自然科学基金资助项目(编号:2005A09)

摘　　要：研究了压电智能板结构的H∞振动控制问题,推导出其有限元运动微分方程并对其进行解耦,在状态空间中利用最小实现和平衡降阶法对其进行降阶处理。基于线性矩阵不等式(LMI)方法,针对压电智能板结构设计了次优H∞状态反馈控制器和最优H∞状态反馈控制器。以智能悬臂板结构为例,设计了相应的控制器。仿真结果表明,此方法成功地实现了压电智能板结构对干扰的抑制。H_∞ vibration control of a piezo-intelligent plate was investigated. The first step was to decouple the deduced finite element equations. The second step was to use the methods of minimal realization and balancing reduction in state-space models to reduce the order of the decoupled equation. The op timal and suboptimal H_∞ Control with state feedbacks for intelligent plate based on the linear matrix inequality(LMI) aprroach were designed. This process was proved to be feasible by the example of an intelligent cantilever plate.

关 键 词：压电智能板 H∞振动控制 线性矩阵不等式 状态反馈控制器 

分 类 号：TH113.1[机械工程—机械设计及理论] TP13[自动化与计算机技术—控制理论与控制工程]