变长竿式制导问题数学模型

A LENGTH-VARIABLE ROD MODEL OF GUIDANCE PROBLEMS

制导问题数学模型对研究交会及拦截问题都具有重要意义。本文提出一种变长竿式制导问题数学模型，此模型视线被当作一条变长旋转竿，通过研究其旋转、长度变化来研究制导系统性能，比常用模型含有更多关于制导问题性能的信息。用它释放了比例导引律下小视线距视线角速率失稳原因，提出了制导系统视线全值域角速率稳定以提高制导精度的设计方法，讨论了比例导引能否实现预测拦截问题等。

The mathematical model of guidance problems has significant sense for studing rendezvous and intercept problems.In this paper a named lengthvariable rod model is presented.In this model the line-of-sight is taken as a rod that the length of it is variable and it rotates.By means of studing the variations of its length and its rotations,the characters of guidance systems are investigated. The model contains more informations about guidance problems than other models. By use of it,the cause of the unstability of guidance systems in small line-of-sight is explained;an approach to design a guidance system which is always stable for any values of the length of the line-of-sight is prensented in order to improve guidance precision;the problem that if the proportional navigation can realize the predictive intercept is discussed.