针对高速机动目标的三维非线性微分对策制导律

3-Dimensional Nonlinear Differential Game-based Guidance Law Against High-speed Maneuvering Target

为有效拦截高超声速飞行器,提出了一种基于预测控制的三维微分对策制导律。该制导律将高速机动目标拦截末制导过程抽象为以视线角速率和燃料消耗为性能指标的零和微分对策问题,以非线性模型预测控制为框架,采用梯度下降法实时求解决策约束型有限时域微分对策,得到最优决策。该制导律能够在满足动态系统高维非线性、机动能力和燃料消耗等要求下,实现对目标的精确拦截;在与比例导引律燃料消耗相当的情况下,具有末端弹道平直、制导精度高等优点。

To intercept hypersonic aircraft effectively,a 3-dimensional differential game-based guidance law using predictive control was proposed.The terminal interception for high-speed maneuvering target was formulated as a zero-sum differential game with line-of-sight angle rate and fuel consumption as performance index.Under the framework of nonlinear model predictive-control,the decision-constrained finite-horizon differential game was solved in real time by gradient descent algorithm,and the optimal action was obtained.The guidance law enables accurately intercepting target in compliance with highly dimensional nonlinear dynamic systems,maneuverability constraints and fuel consumption limits.With fuel consumption similar to that of proportional guidance law,the proposed guidance law has the advantages of straighter trajectory and higher guidance accuracy.