基于微分平坦方法的三维制导律设计

针对强耦合条件下的三维制导问题提出了一种新的设计框架。滚动引起的俯仰、偏航通道之间的强耦合关系,使得双通道解耦的三维制导律设计困难,使用微分平坦方法可以克服这一困难。首先使用矢量建立了导弹的一般运动学描述,并由此证明导弹制导系统是微分平坦的。依据系统的平坦输出设计比例-微分(PD)控制律可以实现目标静止或机动时的制导。进一步,通过对PD参数的适当约束可以实现任意落角及任意入射方位角的制导。仿真结果验证了该设计的优点。

A Flatness-based Method for 3D Guidance Law Design

A new framework for 3-dimensional(3D) guidance law design is developed in the presence of strong coupling in this paper.Possible rolling of missiles can cause strong coupling between the pitching channel and the yaw channel,making it difficult to design 3D guidance law under the channel-decoupling assumption.A differential flatness based design is presented in this paper to overcome the difficulty.Firstly,motion of a missile is described using vectors,and the guidance system is proved to be differential flat.Proportional derivative(PD) laws are applied on the flat output,yielding guidance laws for both non-maneuvering and maneuvering targets.Moreover,with careful design of the PD parameters guidance with arbitrary falling angle and orientation angle is achieved.Simulation results demonstrate the merits of the design.