各种支撑压电智能板的LQR振动控制  

Control of vibration of piezoelectric intelligent plates with various boundary conditions by the LQR

作　　者：吴磊[1] 王建国[1] 

机构地区：[1]合肥工业大学土木建筑工程学院

出　　处：《合肥工业大学学报（自然科学版）》2006年第7期888-893,共6页Journal of Hefei University of Technology：Natural Science

基　　金：安徽省自然科学基金资助项目(050440504);安徽省教育厅自然科学基金资助项目(2006kj2968)

摘　　要：文章基于控制目标函数的LQR法,对各种支撑条件下控制目标函数中权系数矩阵(Q矩阵和R矩阵)进行理论计算,利用Matlab系统仿真,演示了四边固支板中点受初始位移激励时,前两阶模态位移的控制曲线和控制电压随时间变化的曲线。结果证明,该方法能有效达到控制结构振动和减小控制能量消耗的目的。Control of the vibration of a plate with various boundary conditions using a single pair of piezoelectric material is studied based on the linear quadratic regulator（LQR） method,in which the vibration energy of the structure and the control signal energy are considered in the objective function. According to the energy criterion, the weighting factors（matrix Q and R） in the objective function are calculated. A calculation example is presented,and simulation is carried out by using the Matlab program. The curves of the control optimal voltage and the displacement response at the center of the plate with fixed boundary conditions and the external excitation of initial displacement are obtained, and the maximum value of the control optimal voltage and the vibration stop time of the plate are given in a table. The results prove that the LQR method based on the energy criterion is effective in controlling the vibration and reducing the control energy.

关 键 词：压电智能板 振动控制 LQR法 能量准则 

分 类 号：TB301[一般工业技术—材料科学与工程] O34[理学—固体力学]