带视场角约束的多弹三维协同制导律

Multi-missile Three-dimensional Cooperative Guidance Law with Field-of-view Constraint

针对多导弹在三维空间内协同攻击固定目标问题,提出了一种无需装订攻击时间的带视场角约束的三维协同制导律。建立了多弹协同制导数学模型,并给出了考虑视场限制的协同攻击条件。在三维比例导引弹道特性的基础上,采用偏置反馈控制的形式,利用一致性控制算法设计了带视场角约束的三维协同制导律。借助于李雅普诺夫稳定性理论,严格证明了所提出的协同制导律的稳定性。仿真结果表明:所提出的制导律能使多枚导弹在满足视场角约束的前提下,以相同的攻击时间精确命中目标。

To solve the problem of multi-missile cooperative attacking fixed target in three-dimensional space,a three-dimensional cooperative guidance law considering field-of-view constraint without binding attack time is proposed.The multi-missile cooperative guidance model is established,and the cooperative attack conditions considering field-of-view limit are given.Based on the trajectory characteristics of threedimensional proportional navigation guidance law,the three-dimensional cooperative guidance law with field-of-view constraint is designed by using the form of bias feedback control.With the help of Lyapunov stability theory,the stability of the proposed three-dimensional cooperative guidance law is strictly proved.Simulation results show that the proposed guidance law can make multiple missiles hit the target precisely at the same time under the premise of satisfying field-of-view constraint.