Three-Dimensional Prescribed-Time Impulsive Pinning Cooperative Guidance

This paper studies the problem of multiple interceptors with intermittent communication cooperatively intercepting a stationary target. Given the difficulties in real-time online information transmission, a three-dimensional (3D) two-stage prescribed-time impulsive pinning cooperative guidance law (PTIPCGL) is proposed. It can achieve the simultaneous arrival of multiple interceptors based on the directed internal communication and impulsive pinning external communication. In the first stage, the PTIPCGL incorporates a time scaling function into the second-order impulsive pinning consensus to realize the desired convergence performance. Theoretically, the convergence time can be arbitrarily pre-specified and independent of tuning parameters. In the second stage, the switching occurs at the pre-specified convergence time, and the interceptors switch to pure proportional navigation (PPN) guidance with suitable initial conditions to achieve simultaneous arrival. Finally, numerical simulations demonstrate that the PTIPCGL exhibits satisfactory effectiveness and robustness under intermittent communication.