摘要
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 for the space interception nonlinear control problem, a new kind of high precision computational method——time step precision intergration method for dynamical system is used for the nonlinear space interception problem and a efficient computational method is given for the above problem. Firstly the nonlinear control problem is linearized, which satisfies the demands of the precision intergration method. Secondly, the precision interactive algorithm for nonlinear problem is established according to the linearized equations. The above method not only has high computational precision, but also has good numerical stability. A concrete example is given in this paper.
出处
《飞行力学》
CSCD
北大核心
1998年第1期85-89,共5页
Flight Dynamics
基金
国家自然科学(青年)基金
航空科学基金