摘要：【中文】本发明公开了一种基于灰色预测的迭代制导方法和系统，该方法包括：对已知发动机推力矢量进行采样，得到采样序列：对采样序列进行一次累加，得到一次累加序列：根据一次累加序列对采样序列进行序列还原；确定白化方程组：通过最小二乘法求解得到白化方程组中的参数值；根据求解得到参数值，预测得到下一时刻的发动机推力矢量；根据预测得到的下一时刻的发动机推力矢量，预测得到下一时刻的速度矢量和位置矢量。本发明充分利用已有信息，并在线实时预测所需要的发动机推力矢量方向，可以简化迭代制导的计算过程，并且易于实现。 【EN】The invention discloses an iterative guidance method and system based on gray prediction, wherein the method comprises the following steps: for known engine thrust vectorSampling to obtain a sampling sequence: performing primary accumulation on the sampling sequence to obtain a primary accumulation sequence: performing sequence reduction on the sampling sequence according to the primary accumulation sequence; determining a whitening equation set: solving by a least square method to obtain parameter values in the whitening equation set; predicting to obtain an engine thrust vector at the next moment according to the solved parameter value; and predicting to obtain a speed vector and a position vector at the next moment according to the predicted engine thrust vector at the next moment. The invention fully utilizes the existing information, predicts the required thrust vector direction of the engine on line in real time, can simplify the calculation process of iterative guidance, and is easy to realize。