Optimal vibration control of smart composite beams with optimal size and location of piezoelectric sensing and actuation
Optimal vibration control of smart composite beams with optimal size and location of piezoelectric sensing and actuation
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DOI：
10.1177/1045389x12463465
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发表时间：
2013-03
影响因子：
2.7
通讯作者：
Nemanja D. Zorić;A. Simonović;Z. Mitrovic;S. Stupar
中科院分区：
文献类型：
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作者：
Nemanja D. Zorić;A. Simonović;Z. Mitrovic;S. Stupar
智能结构的控制性能取决于压电致动器和传感器的尺寸和位置以及所应用的控制算法。采用基于粒子群优化算法的模糊优化策略，对薄壁复合材料梁进行振动最优控制。传统的并置压电致动器和传感器的尺寸和位置的优化，以及控制器参数的优化分别执行。压电作动器和传感器的最佳尺寸和位置的优化准则是基于可控性Grammian矩阵的特征值。该优化过程既约束了结构原有动力特性的变化，又限制了结构质量的增加。基于粒子群优化的线性二次型调节器已实施的最优振动控制，以最大限度地提高模态闭环阻尼比，并尽量减少所需的驱动控制电压，同时保持它们低于击穿电压为所使用的压电致动器。一个伪目标函数，来自模糊集理论，给出了一个表达式的全局目标函数，消除了使用加权系数和惩罚函数。问题是制定使用有限元法的基础上的三阶剪切变形理论。给出了悬臂梁的几个数值算例。
Control performances of smart structures depend on the size and location of the piezoelectric actuators and sensors as well as on the applied control algorithm. This article presents optimal vibration control of a thin-walled composite beam by using the fuzzy optimization strategy based on the particle swarm optimization algorithm. The optimization of the size and location of the conventionally collocated piezoelectric actuators and sensors, and optimization of the controller parameters are performed separately. The optimization criteria for optimal size and location of piezoelectric actuators and sensors are based on eigenvalues of the controllability Grammian matrix. The optimization procedure implies constraint of the original dynamic properties change and limitation of the beam mass increase. The particle swarm optimization-based linear quadratic regulator has been implemented for optimal vibration control in order to maximize the modal closed-loop damping ratios and minimize the control voltages required for actuation while keeping them below breakdown voltage for the used piezoelectric actuator. A pseudo-goal function, derived from the fuzzy set theory, gives an expression for global objective functions eliminating the use of weighting coefficients and penalty functions. The problem is formulated using the finite element method based on the third-order shear deformation theory. Several numerical examples are presented for the cantilever beam.