【作者】 李姣枫；

【导师】 陈建军；

【作者基本信息】 西安电子科技大学 ， 机械制造及其自动化， 2008， 硕士

【摘要】 智能材料结构的振动控制已经被广泛应用到军事、机械、医学、民用产品上,尤其在航空航天工业中展示了广阔的前景。本文的主要研究工作是针对模态参数不确定的压电智能板结构,在阅读大量国内外相关文献的基础上,结合目前国内外学者感兴趣的非脆弱控制理论,设计出了压电智能板的非脆弱鲁棒振动控制器。本文在导出压电智能板的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。基于线性矩阵不等式(LMI)方法,设计了次优H∞状态反馈控制器和最优H∞状态反馈控制器。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,设计了鲁棒控制器。在此基础上,设计了具有加性控制器变化的非脆弱H∞状态反馈控制器,所设计的控制器不仅是鲁棒的,而且是非脆弱的,它使闭环系统渐近稳定并满足H∞范数。最后以智能悬臂板结构为例,利用MATLAB数学仿真表明了文中方法的有效性。更多还原

【Abstract】 The vibration control, a branch of intelligent structure’s application, has been widely adopted in the areas of military, machinery, medicine, and civil products, especially in aerospace industry, where it’s great potential has been already shown. On the basis of reading lots of reference, robust and non-fragile vibration control of intelligent plate is investigated in this paper. The controller is not only robust, but also non-fragile.In this paper, the first step is the uncoupling of the finite element equations after the intelligent plate is deduced. The second step is using methods of minimal realization and balancing reduction in state-space models to reduce its order. It deals with the problem of the optimal and suboptimal H∞control via state feedback for intelligent plate based on a method of linear matrix inequality (LMI).Taking uncertainties due to modal parameters variation into account, a model of modal parameters variation is established and robust and control via state feedback for intelligent plate is designed based on the method of linear matrix inequality. On this basis, robust and non–fragile H∞control via state feedback for intelligent plate is designed. This process is proved feasible in an example about an intelligent cantilever plate.更多还原