作动器最优配置的柔性结构振动主动控制

柔性结构广泛应用于航空航天等领域，为了获得结构的最佳动力学性能，在主动振动控制中作动器或传感器位置优化成为关键。基于结构有限元动力学方程，在状态空间利用系统可控和可观Gramian矩阵考虑结构剩余模态的影响,推导一种新的作动器/传感器优化准则。根据优化准则结合非线性整数规划遗传算法对作动器的位置进行配置。以悬臂板为研究对象，采用基于状态反馈的线性二次型调节器研究悬臂板的振动控制效果。与其他配置方法进行比较，验证了新方法的优越性。
Flexible structures are widespreadly applied in fields of aerospace. In order to obtain the best dynamic performance of the structures, the optimal locations of actuator and sensor become a key problem in active vibration control. The new proposed optimization criteria based on finite element dynamic equation ensuring good controllability or observability of the structures and considering the remaining modes effect were derived. Non-linear integer programming genetic algorithm was utilized to find the optimal positions of actuator and sensor. A cantilever plate was simulated by using state-feedback linear quadratic regulation controller to validate the vibration suppression effects. The comparison results of numerical simulation demonstrate the advantages of the proposed method.