线偏差控制的协同机动突防、导引与控制一体化

Line Deviation Control of Cooperative Maneuvering Penetration,Guidance and Control Integration

针对巡航导弹末制导段多弹机动突防问题,提出了一种基于线偏差控制的协同机动突防、导引与控制一体化方法,在舵偏角有界约束下,既实现了弹群的攻击时间一致性,又通过弹道机动提高了单弹突防能力。首先,将机动突防弹道分解为虚拟导引弹道和相对机动弹道,建立了虚拟导引模型,以及相对机动弹道的制导控制一体化模型;其次,针对从弹的虚拟导引弹道设计了时间协同制导律;第三,合理设计线偏差指令以及制导控制一体化算法,实现了弹群的螺旋机动突防弹道。采用指令滤波器和扩张状态观测器(ESO)实现了状态约束和干扰估计,并基于Lyapunov稳定性定理严格证明了闭环系统的稳定性。最终,通过数值仿真和蒙特卡洛实验验证了所设计方法的有效性和鲁棒性。

Aiming at the problem of cruise missile terminal-guided multi-missile maneuvering penetration,a coordinated maneuvering penetration,guidance and control integration method based on line deviation control is proposed,which not only realizes the attack time consistency of the group of missiles under the bounded constraints of rudder deviation angle,but also improves the capability of single-missile penetrate through the trajectory maneuvering.Firstly,the maneuver penetration trajectory is decomposed into a virtual guidance trajectory and a relative maneuver trajectory,and a virtual guidance model and a guidance and control integration model for the relative maneuver trajectory are established.Secondly,a time-coordinated guidance law is designed for the virtual guidance trajectories of the follower;and thirdly,the line deviation command and the guidance and control integration algorithm are designed reasonably to realize the helical maneuver penetration trajectory of a group of missiles.The command filter and extended state observer(ESO)are adopted to realize the state constraints and interference estimation,and rigorously proves the stability of the closed-loop system based on Lyapunov stability theorem.Finally,the effectiveness and robustness of the designed method are verified by numerical simulations and Monte Carlo experiments.