基于PID算法的压电智能结构形状与主动振动控制

Shape Control and Active Vibration Control of Piezoelectric Smart Structures with PID algorithm

压电智能结构在形状优化控制方面越来越多地应用于薄壁结构。为了使薄壁结构能够准确变形,首先根据一阶剪切变形假设建立压电智能结构机电耦合静力学平衡方程,用最小二乘的思想计算薄壁结构产生预定目标形变的最优静电压值。此外,为使结构变形快速稳定,减少驱动变形产生的额外振动,建立智能压电结构动力学模型,采用PID控制策略,实现对形状控制的主动振动抑制。最后以一多压电致动器悬臂梁为例,进行形状与振动控制仿真,得到良好控制效果。

Piezoelectric smart structures are used to thin-wall structures more and more. In order to lead to more accurate deformation, the paper used the least square method to obtain the optimal static voltages by the electro-mechanically coupled static FE model according to first-order shear deformation hypothesis. And in order to deform quickly and reduce extra vibration, the paper built the electro-mechanically coupled dynamic FE model and used PID algorithm to achieve the active vibration control. Last, they are simulated by a muhi-piezolayer cantilever beam.