基于MATD的高超声速飞行器反演控制

Backstepping Robust Control for Hypersonic Vehicle on MATD

针对高超声速飞行器弹性体模型,提出了一种基于改进的反正切跟踪微分器(MATD)的鲁棒反演控制器。将控制系统分为高度和速度子系统,采用反演方法设计虚拟控制量和实际控制量。引入MATD对高阶系统虚拟控制量求导,避免了传统反演方法"微分膨胀"的问题。基于MATD设计干扰观测器,对模型不确定项进行精确估计,增强了控制器的鲁棒性。最后,通过实例仿真验证,该控制器对速度和高度指令具有很好的跟踪效果,且具有较强的鲁棒性。

A backstepping robust control method based on the modified arctangent-based trackingdifferentiator(MATD)was designed for the longitudinal track of flexible hypersonic vehicles.Bydividing the whole control system into height subsystem and velocity subsystem,Virtual and actualcontrol laws were designed based on backstepping.The MATD was used to solve the problem of“explosion of term”in the traditional backstepping control.Furthermore,to enhance the controller’srobustness,a nonlinear disturbance observer based on MATD was constructed to estimate the modeluncertainties.Finally,several numerical simulations were given to show the effectiveness of thiscontroller in tracking velocity and altitude commands and demonstrate the controller’s robust.