地空导弹微分对策最优制导律研究

运用微分对策理论研究具有一阶延迟环节的战术导弹和机动目标之间的三维追踪－逃逸问题，在多重时间尺度分解的假设下，采用强迫奇异摄动方法，得出了仅依赖于可测量状态变量及导弹，目标性能参数的近似解析形式扶组合次优控制策略，从而对于二人零和，非线性微分对策问题给出了一个近似反馈解，避免了求解动态最优化问题中经常出现的两点边值问题，使数值计算工作量大为减少。

A STUDY OF THE OPTIMAL GUIDANCE LAW FOR SURFACE-TO-AIR MISSILES BASED ON DIFFERENTIAL GAMES

The three-dimensional pursuit-escape problem with first-order delay link between a tactical missile and a manoeuorable target is studied by using differential games. Under the assumption of multi-time-scales separation and using the forced singular perturbation technique, a zeroth--order composed quasi--optimal control strategy with approximate analyticform, is obtained. which depends only on the measurable state varables. and the missile andtarget performance parameters. Thus, an approximate feedback solution is given for the ze ro-sum and nonlinear differential games problems. The work amount of numerical calculation is remarkably reduced because of the avoidance of solving two-point boundary valueproblems which are encountered frequently duning the solution of dynamic optimization prob lems.