基于ADP的高超声速飞行器非线性最优控制

Nonlinear Optimal Control for a Hypersonic Vehicle Based on ADP

针对高超声速飞行器提出了一种基于自适应动态规划(ADP)的非线性最优控制器设计方法。首先,非线性系统的最优控制器设计问题等价于求解HJB方程。传统的HJB方程求解方法需要系统动态的精确知识,但是实际中系统动态常常是未知的或者部分未知的。针对高超声速飞行器系统动态未知的情况,采用ADP算法在线求解HJB方程,设计非线性最优控制器。该设计方法的一个显著优点是不需要系统的内部动态知识。最后,仿真结果验证了所设计控制器的有效性。

A nonlinear optimal control design method based on the Adaptive Dynamic Programming（ADP）is proposed for an Air-breathing Hypersonic Vehicle（AHV）in this paper. Initially,the optimal control design problem for the nonlinear system is equivalent to solving the Hamilton – Jacobi –Bellman（HJB） equation. The classic methods for solving the HJB equation need the accurate knowledge of the system dynamics. But,in many case applications,the system dynamics are often unknown or partially unknown. For the case when the system dynamics of the AHV is unknown,we apply the ADP algorithm to solve online the HJB equation and design the nonlinear optimal controller.A significant advantage of this design method is that it does not need the internal dynamics knowledge of the system. Finally,the simulation results show the effectiveness of the proposed controller.