基于反演控制的高超声速飞行器自适应动态规划

Adaptive Dynamic Programming for Hypersonic Flight Vehicle Based on Backstepping Control

针对高超声速飞行器轨迹最优跟踪控制问题,设计了基于反演控制的自适应动态规划控制器。将控制输入分为稳态跟踪控制与瞬态最优控制两部分。首先采用反演设计方法,引入有限时间收敛微分器对虚拟控制律的一阶导数进行估计,避免了"微分项膨胀"问题。其次,设计非线性干扰观测器对不确定项进行估计,保证了控制器的鲁棒性。然后,基于自适应动态规划设计瞬态最优控制器,引入模糊评价估计器逼近性能指标,实现了高超声速飞行器的近似最优控制。最后通过数字仿真,验证所设计控制方法的有效性及优势。

Aiming at the optimal tracking control of hypersonic flight vehicle,an adaptive dynamic programming controller based on backstepping method is designed.The control input is divided into two parts namely steady-state tracking control and transient optimal control.First,the backstepping design method is adopted,and the finite-time-convergent differentiator is used to estimate the first derivatives of virtual control laws to avoid the problem of"explosion of differential terms".Then,a nonlinear disturbance observer is designed to estimate the uncertainty and ensure the robustness of the controller.Next,the transient optimal controller is designed based on the adaptive dynamic programming.The fuzzy critic estimator is introduced to approach the performance indicators,achieving the approximate optimal control of the hypersonic flight vehicle.Finally,the effectiveness and advantages of the control method are verified by numerical simulation.