弹性飞行器的H_∞控制器设计与仿真

Designing and Simulating of H_∞ Controller for Flexible Aircraft

弹性飞行器动力学模型用很多自由度来描述弹性模态和刚性模态,由此引起的模型不确定性及建模误差,使用常规控制器很难保证系统的鲁棒稳定性。为此,采用H∞混合灵敏度控制方法设计了能控制弹性飞行器姿态运动又能快速抑制结构振动的鲁棒控制器,采用平衡截断法对此高阶控制器进行了降阶,得到6阶和4阶控制器,对于降阶控制器的控制效果进行了仿真研究。仿真结果表明,降阶后的控制器能很好地实现对原全阶控制器的近似,系统增强稳定性。鲁棒性能满足设计的要求,为飞行系统提供了设计依据。

A lot of DOFs are used to describe the elastic mode and rigid mode of the dynamic model of flexible aircraft,which will lead to model uncertainty and modeling error.It is difficult to ensure robust stability by conventional controller.In order to resolve the problem,a robust controller,which can not only control flexible aircraft attitude but also restrain structure vibration quickly,is designed by using H∞mixed sensitivity control method.The controller is reduced to 4th order and 6th order by using balanced truncation.Control effects of reduction controller are studied by simulating.Simulation results showed that the resulting reduced-order controller worked as well as the full-order controller,and robust stability met requirements.