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在空间拦截非线性控制问题数学模型的基础上，采用动力系统的一种高精度计算方法——时程精细积分法，对非线性空间拦截问题进行了研究。其主要步骤为，首先将非线性控制问题线性化，使其满足精细积分算法的要求；进而根据线性化的方程，建立一套处理非线性问题的精细迭代算法。该算法不仅具有很高的计算精度，还具有很好的数值稳定性。
Based on the mathematical model of the problem of space interception of nonlinear control, this paper studies the problem of nonlinear space interception by using the precise integration method of time-history, which is a high precision calculation method of dynamical system. The main steps are as follows: First, the nonlinear control problem is linearized to meet the requirements of the precise integral algorithm; then according to the linearized equation, a set of fine iterative algorithm to deal with the nonlinear problem is established. The algorithm not only has high computational accuracy, but also has good numerical stability.