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考虑自动驾驶仪延迟的非线性最优末制导方法

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针对过载受限和自动驾驶仪延迟等条件下的非线性最优末制导指令在线生成方法进行研究.首先,基于庞特里亚金极大值原理,建立了目标静止的非线性最优末制导问题的最优性条件,并利用饱和函数将过载约束嵌入最优性条件.其次,应用参数化方法使得通过数值积分即可快速生成满足最优性条件的飞行轨迹数据集.然后,利用该数据集训练神经网络,使其拟合弹-目相对运动状态到最优制导指令的映射关系,实现过载约束下制导指令的毫秒量级在线生成.针对自动驾驶仪的延迟响应,通过微分补偿法估计神经网络下一时刻输出的制导指令以实现快速跟踪.最后,仿真结果表明,本文所提出方法针对静止目标与小机动目标都能够在线生成最优制导指令.
Nonlinear Optimal Terminal Guidance Considering Autopilot Delay
The online generation method of nonlinear optimal terminal guidance command with the overload con-straint and autopilot delay is studied.Firstly,the optimality conditions of the nonlinear optimal guidance problem with stationary target are established based on the Pontryagin's maximum principle,and the overload constraint is embedded into the optimality conditions by the saturation function.Secondly,the parametric method is used to generate the flight trajectory data set that satisfies the optimality conditions by numerical integration.Then,the neural network is trained using the data set to fit the mapping relationship between the relative motion state of the missile-target and the optimal guidance command,so as to generate the guidance command under the overload constraint within milliseconds.For the delay response of autopilot,the differential compensation method is used to estimate the optimal guidance command out-put by the neural network at the next moment to achieve fast tracking.Finally,the simulation results show that the pro-posed method can generate optimal guidance command online for both stationary targets and small maneuvering targets.

overload constraintautopilot delaynonlinear optimal terminal guidanceparameterized methodneural network

刘俊彤、陈征、张泽

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浙江大学航空航天学院,杭州 310027

浣江实验室,浙江诸暨 311800

北京控制与电子技术研究所,北京 100038

过载约束 自动驾驶仪延迟 非线性最优末制导 参数化方法 神经网络

2024

航空兵器
中国空空导弹研究院

航空兵器

CSTPCD北大核心
影响因子:0.453
ISSN:1673-5048
年,卷(期):2024.31(4)