基于有限时间动态博弈的末制导导引方法研究

The background of this project is the terminal guidance strategy and guidance law design problem under a complex engagement battlefield, in which the target may perform unknown maneuvers and release decoys or false objects flying around to avoid being intercepted. The finite-time dynamic game and its application in the the terminal guidance design in the situation under consideration will be studied in this project. First, we will analyze the engagement course between an intercepting missile and a maneuvering target around with decoys or false targets, and establish a finite-time dynamic game model to describe the problem. Then, the global equilibrium strategy of the proposed finite-time dynamic game will be given, and the characteristics of the equilibriums will be analyzed, a strategy fast solving algorithm will be proposed based on receding horizon optimization in a logical matrix strategy space. Thirdly, a terminal guidance approach, including guidance strategy and guidance law, will be addressed based on the proposed finite-time dynamic game method, in which the target level of interest and power center concept are introduced. The guidance strategy and guidance law are designed for terminal guidance system under a complex engagement and detective enviroment. Last, the numertical simulations will be done to show the effectiveness of the proposed approach. The aim of the project is to provide a sound theoritical foundation for the design of guidance strategy and guidance law. The research of this project will also be helpful for the game problem research such as the spacecraft or ballistic missle penetration.

本项目以复杂战场环境下末制导导引方法研究为背景，针对复杂战场环境下的机动目标拦截问题，研究有限时间动态博弈方法以及基于有限时间动态博弈的末制导导引设计方法。首先，分析复杂战场环境下机动目标拦截的物理过程，提炼出有限时间动态博弈问题并建立博弈模型描述；其次，研究有限时间动态博弈均衡策略解的求解方法，提出基于逻辑策略空间滚动寻优的快速求解方法；然后，研究复杂战场环境下的末制导导引设计方法，提出基于有限时间动态博弈的末制导系统导引策略和导引律设计方法；最后，通过数值仿真验证所提出方法的有效性。通过本项目的研究, 可以丰富并发展动态博弈理论与方法，对实现复杂战场环境下机动目标的直接碰撞拦截具有重要的理论指导意义和实际应用价值，同时对于空间飞行器攻防对抗、弹道导弹突防以及其它飞行器间的博弈问题研究也具有一定的借鉴意义。

本项目以复杂战场环境下具有高速、高机动变轨能力以及更高智能性目标/目标群的拦截问题为背景，研究基于博弈理论的导引策略设计问题。首先，分析了智能目标/目标群拦截制导的物理过程，建立了动态博弈问题描述，提炼出一般的博弈理论问题；其次，基于矩阵半张量积研究了动态博弈问题的空间结构分解和性质、收益函数设计方法和策略更新规则设计和求解方法等；然后，将博弈方法与背景问题相结合，研究了不同场景下的智能目标/目标群的制导策略设计问题；最后，通过数值仿真和算法验证平台说明所提出方法的有效性。