Multi-Missile Phased Cooperative Interception Strategy for High-Speed and Highly Maneuverable Targets

Abstract

This article proposes a multi-missile phased cooperative interception strategy for a class of high-speed and highly maneuverable targets, along with the design of an improved adaptive hp-pseudospectral method to optimize the cooperative trajectory. First, considering the characteristics of rapid penetration speed and challenging trajectory prediction associated with this type of target, we put forward a multi-missile phased cooperative interception strategy and establish a model for optimizing the cooperative trajectory based on this strategy. Second, we derive the conditions under which multiple missiles' seekers can cooperatively cover the target's high probability region, as well as the capture region of the missile’s guidance law. The combination of these two aspects provides crucial constraints for our cooperative trajectory optimization model. Subsequently, building upon traditional adaptive hp-pseudospectral methods, we design a mesh point distribution function that determines iteration rules for mesh allocation, thereby enabling more efficient resource utilization in terms of collocation points and ultimately enhancing algorithm efficiency. Finally, we employ our proposed improved adaptive hp algorithm to solve the problem of optimizing multi-missile cooperative trajectory while verifying its effectiveness and superiority through simulation results.