基于高斯伪谱方法的再入飞行器预测校正制导方法研究

On-Line Predictor-Corrector Reentry Guidance Law Based on Gauss Pseudospectral Method

为了提高再入制导的适应性和鲁棒性,提出了一种最优预测校正制导方法。根据伪谱方法将再入动力学微分方程约束转换为代数方程约束,将制导问题转换为不需要积分弹道的最优规划问题,利用Gauss伪谱法收敛速度快、精度高的特点,设计了航路点间分段优化的伪谱自适应鲁棒再入制导律,对制导律的特性进行了分析。数值仿真表明,这种再入制导律对于再入点误差不敏感,具有良好的鲁棒性,仿真表明校正时间很短,具有应用于在线制导的潜力。

To enhance adaptability and robust of reentry guidance,an optimal on-board predictor-corrector guidance algorithm is developed.The differential equation constrains are transformed into algebraic constrains by means of the method of pseudospectral method,thus making the integration of differential equation unnecessary.The design of guidance law then can be solved by nonlinear programming.Owing to fast convergence and high accuracy of Gauss pseudospectral method,the adaptive guidance is obtained using on-line segmented optimization between routes.The benefit of proposed guidance is analyzed.The numerical simulation indicates that the proposed algorithm is not sensitive to initial errors.The corrected time is short,so that the guidance has the potential for on-line implementation.