基于解析法最优轨迹的在线实时制导律研究

新型制导系统单纯采用轨迹优化的数值算法的优点是精度高，但耗时长，算法稳定性有待提高，随着计算机技术的发展，耗时长的缺点能得到缓解，但仍然无法满足实时动态制导控制需求。数值法以前，解析法曾得到深入的研究，如果能结合二者的优点，将能更好地达到提升飞行器实时高精度制导控制的效果。用解析法求解了轨迹优化问题中的两点边值问题，并和数值打靶法对比分析了入轨精度和计算时间的差异，得出各自方法的优缺点。

Online Real-time Guidance Law Using an Analytical Optimal-trajectory Method

The numerical guidance methods of optimal trajectory are high accuracy, but time-consuming and algorithm-unstable. With the development of computer technology, time-consuming weakness can be alleviated, but still unable to meet the real-time dynamic guidance and control requirements. Analytical methods have been in-depth study before the instance of numerical methods. If combines the advantages of these two methods, it will be able to achieve the real-time control with high accuracy. Firstly, an analytical method is solved with the two-point boundary-value problem of optimal trajectory, then analyze the differences of in-orbit precision and computing time between the analytical and numerical methods. Finally, the advantages and disadvantages of each method are given.