压电智能板结构的鲁棒非脆弱H_∞振动控制  

ROBUST AND NON-FRAGILE VIBRATION CONTROL OF INTELLIGENT PLATE

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：《振动与冲击》2008年第3期13-16,共4页Journal of Vibration and Shock

基　　金：国家863项目(2006AA04Z402);陕西省自然科学基金项目(2005A09)资助

摘　　要：研究了压电智能板结构的非脆弱H∞鲁棒振动控制问题,在导出其有限元运动微分方程后,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。考虑其被控模态参数的不确定性,建立了模态参数不确定性模型。基于线性矩阵不等式(LMI)方法,设计鲁棒非脆弱H∞状态反馈控制器。以智能悬臂板结构为例表明了该方法的有效性。The uncoupling of the deduced finite element equations of intelligent plate is put forward. The methods of minimal realization and balancing reduction are then used in state-space models to reduce its order. Taking uncertainties due to modal parameters variation into account, a model of modal parameters variation is established. The problem of robust and non-fragile H∞ control is dealth with via state feedback for intelligent plate based on a method of linear matrix inequality(LMI). The process is proved feasible by an example intelligent cantilever plate.

关 键 词：压电智能板 非脆弱H∞控制 模型不确定 线性矩阵不等式 

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]