基于Lanchester方程的作战混合动态系统最优控制

Optimal control of warfare hybrid dynamic system based on Lanchester equation

针对作战过程的混合动态特性,利用Lanchester方程建立了一类作战混合动态系统模型,在合理战术假设的基础上,讨论了一类变招顺序固定的作战决策方最优控制问题.利用动态规划原理给出了解决问题的基本框架与途径.最后,通过应用算例验证了所建立模型和所设计最优控制方案的可行性.研究结果对作战指挥决策和对策的研究具有理论指导意义.

For the particularity of operational hybrid dynamic process, a class of corresponding warfare hybrid dynamic systems is established using Lanchester equation. Under some reasonable assumptions, the problem of building the optimal control of warfare hybrid dynamic system is investigated on the condition of fixed variable tactics sequences, and its solving method is given based on dynamic programming principle and differential game theory. Finally, a numerical example shows the feasibility of warfare hybrid system and the effectiveness of the optimal control strategies designed. The research results may provide theory reference for warfare command decision making and game.