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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。
In order to improve the control performance of the active control system for the vertical tail-buffeting of piezoelectric actuators, a piezoelectric actuator optimization criterion based on output controllability is proposed. The piezoelectric model of piezoelectric actuator was established by piezoelectric-driven load equivalent method, and the dynamic equation of vertical tail model with piezoelectric actuator was established. Based on modal controllability and modal value theory, the optimization objective function of piezoelectric actuator considering residual modal effect is proposed. For the first five modes of vertical tail structure, the layout scheme of piezoelectric actuators was optimized by using genetic algorithm, and the linear quadratic Gaussian (LQG) optimal control method was used to control the chattering response of vertical tail. The simulation results show that the layout scheme optimized in this paper can balance the modal controllability of the system better than other methods, reduce the impact of residual modes, and get better vertical tail buffeting response control.