在撞击角和输入饱和约束条件下,利用多级互联观测器进行多枚导弹定时综合制导与控制设计

Dingye Zhang, Hang Yu, Keren Dai, Wenjun Yi, He Zhang, Zhiming Lei
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摘要

本文提出了一种新型三维固定时间综合制导与控制(IGC)方案,该方案具有多级互联观测器,适用于在撞击角和输入饱和约束条件下使用多枚导弹对机动目标进行合作攻击。外部干扰、建模误差和空气动力参数变化被视为系统的不确定性因素,并建立了多枚导弹的三通道全耦合 IGC 模型。基于定时稳定性理论、滑模控制和反步进技术,对 IGC 系统进行了优化设计。设计了三个基于改进的超扭曲算法的级联固定时间扰动观测器,以估计和补偿系统的不确定性。使用二阶指令滤波器来约束虚拟控制信号,并引入额外的滤波误差子系统来补偿滤波器的跟踪误差。利用 Lyapunov 稳定性理论证明了系统稳定性和所有状态的均匀最终固定时间约束性。最后,推导出了机动目标垂直于视线方向的加速度分量极限。通过仿真验证了所设计的 IGC 方案的有效性以及多级互联观测器相互感知干扰的能力。
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Multiple‐missile fixed‐time integrated guidance and control design with multi‐stage interconnected observers under impact angle and input saturation constraints
In this paper, a novel three‐dimensional fixed‐time integrated guidance and control (IGC) scheme with multi‐stage interconnected observers is proposed for cooperative attacks using multiple missiles against a maneuvering target under impact angle and input saturation constraints. External disturbances, modeling errors, and aerodynamic parameter variations are considered as system uncertainties and a three‐channel fully coupled IGC model for multiple missiles is established. The IGC system is designed optimally based on fixed‐time stability theory, sliding mode control, and the backstepping technique. Three inter‐cascaded fixed‐time disturbance observers based on an improved super‐twisting algorithm are designed to estimate and compensate for system uncertainties. Second‐order command filters are used to constrain virtual control signals, and additional filtering error subsystems are introduced to compensate for the tracking errors of filters. System stability and uniformly ultimately fixed‐time boundedness of all states are proven using the Lyapunov stability theory. Finally, the limits of the acceleration components of the maneuvering target perpendicular to the line of sight direction are derived. The effectiveness of the designed IGC scheme and the ability of multi‐stage interconnected observers to sense disturbances with each other are verified through simulations.
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