垂尾抖振主动控制的压电作动器布局优化

为了提高压电作动器垂尾抖振主动控制系统的控制性能，提出一种基于输出可控性的压电作动器优化准则。使用压电驱动载荷等效方法建立压电纤维复合材料（MFC）压电作动器力学模型，并建立了带MFC压电作动器垂尾结构模型的动力学方程。在模态可控性和模态价值理论的基础上，提出考虑剩余模态影响的压电作动器优化目标函数。针对垂尾结构的前5阶模态使用遗传算法优化得到压电作动器的布局方案，使用线性二次高斯（LQG）最优控制方法控制垂尾的抖振响应。仿真结果表明，本文优化得到的布局方案比用其他方法能更好地均衡系统的模态可控性，减小剩余模态的影响，获得更好的垂尾抖振响应控制。

Optimization of piezoelectric actuator configuration on a vertical tail for buffeting control

In order to improve the control performance of the tail buffet control system using piezoelectric actuators, a new optimization criterion is used to optimize the configuration of piezoelectric actuators based on output controllability. Macro-fiber composite (MFC) piezoelectric actuator is modeled by a load simulation method of piezoelectric actuator. Dynamic equations of the vertical tail incorporating MFC actuators are obtained by finite element method. An objective function, using modal controllability and modal cost theory, is suggested with the consideration of residual modes to limit the spillover effect. In order to control the first five modes of the vertical tail, genetic algorithm is used to find the optimal configuration and linear-quadratic Gaussian (LQG) controller is adopted to control the response of the vertical tail. Simulation results show that the optimal configuration of MFC actuators not only improves the control performance but also balances system controllability and reduces the influence of residual modes.