摘要
研究了压电智能板结构的H∞振动控制问题。先采用4节点矩形弯曲薄板单元(含12个位移自由度,2个电自由度)的有限元模型,利用Ham ilton原理得到了智能板结构的运动微分方程,然后综合运用模态截断法、最小实现法和平衡降阶法,对压电智能板结构的系统状态方程进行了降阶处理,得到了可观可控且低阶的近似状态方程,针对该降阶后的系统,利用H∞控制理论求解出能抑制干扰的动态输出反馈控制器,并将该控制器作用到降阶处理前的原系统中,从而能实现原系统抗干扰的振动控制。最后,以智能悬臂薄板结构为例,讨论了降阶过程中出现的一些问题和结论,并求出了相应的动态输出反馈控制器。仿真结果表明,文中的方法可实现压电智能板结构对干扰的抑制。
A method to control an intelligent plate vibration is proposed based on H_∞ theory.For an intelligent plate with piezoceramics slices attached on both surfaces,an element model with 12 DOFs and 2 electrical DOFs is adopted and the dynamics differential equations are deduced by means of Hamilton principle,and whose order is lowered in state space by modal truncation,minimal realization and balancing xeduction.A dynamic output feedback controller is designed to control the original intelligent plate vibration.Taken intelligent cantilever plate as an example,the conclusion is confirmed and the process error is estimated,the corresponding dynamic output feedback controller is obtained to simulate the control performance.
出处
《应用力学学报》
CAS
CSCD
北大核心
2005年第4期517-521,共5页
Chinese Journal of Applied Mechanics
基金
陕西省自然科学基金项目(D7010418)资助
