考虑运动耦合的BTT导弹三维制导律设计

针对倾斜转弯(BTT)导弹制导过程中的双通道耦合问题,设计了一种新型三维(3D)制导律。首先,通过矢量描述的方式,将导弹运动学模型分解成俯冲、转弯和耦合3项,俯冲和转弯两项在笛卡儿坐标系下描述,耦合项则在SO(3)空间中描述。然后,针对无终端约束和有终端约束情况,分别采用比例控制和SO(3)群上的广义比例-微分(PD)控制方式进行了相应的制导律设计。所得制导律既克服了李群方法的结构复杂性,又避免了解耦方法的信息损失。仿真表明,所设计的制导律能够满足BTT导弹精确制导的要求。

3D Guidance Law of BTT Missile Considering Movement Coupling

A new 3-dimensional (3D) guidance law is proposed to deal with the coupling of bank-to-turn (BTT) missile. First, through vector description the kinematic model is divided into the three terms of pitching, swerve and coupling. Pitching and swerve are described in the Cartesian space, while coupling is described in the SO(3) space. Then, corresponding to no ending constraints and ending constraints, guidance laws are designed using respectively the proportional control and the generalized proportional-derivative (PD) control, which can avoid both the complexity of the Lie-group method and the information loss of the traditional decoupling method. Simulation results show that the proposed guidance law can satisfy the guidance precision requirements of BTT missiles.