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已经发表的自寻的非滚转导弹拦截问题的数学模型往往是平面模型或空间质点模型。本文给出了描述自寻的非滚转导弹拦截问题的变质量多刚体的空间运动模型。该模型将导弹看成空间运动的变质量多刚体,并考虑了导引头跟踪目标时的空间动态特性和导弹与目标的空间相对运动关系。另外,本文还讨论了空间模型的通用仿真程序。本文不仅为自寻的导弹制导系统的更深入研究提供了基础,也为拦截问题的精确仿真提供了基础,同时,对其它飞行器的控制问题也具有一定的参考价值。
Published mathematical models of self-destructing non-rolling missile interception problems are often planar models or space particle models. In this paper, a space motion model of multi-rigid mass with variable mass describing the self-seeking non-rolling missile interception problem is given. The model considers the missile as a variable mass rigid body in space motion, and considers the spatial dynamic characteristics of the seeker when tracking the target and the space relative movement of the missile and the target. In addition, this article also discusses the general simulation of space model. This paper not only provides the foundation for the further study of self-destructing missile guidance system, but also provides the basis for accurate simulation of interception problem. At the same time, it also has certain reference value for other aircraft control problems.