Cooperative guidance for multiple missiles under multi-constraints based on Gaussian Pseudospectral Method

Abstract

Cooperative guidance is the key technology of multi-missiles cooperative attack, in which the method to control impact time and impact angle is the research hotspot. This paper focuses on this research direction. In this paper, cooperative guidance geometry of multi-missiles and target is given in the beginning. The cooperative guidance problem of attack time and the attack angle constraint under constraint of maneuverability limits and constraint of the minimum collision avoidance distance is transformed into nonlinear optimal problem of fixed-timed terminal state constraints. As the optimal problem cannot be directly resolved, so numerical methods is adopted. The whole reconstructed process is discretized by Gaussian Pseudospectral Method (GPM). The original problem is discretized on the specified nodes by collocation method. Then the state space and the optimal control space are approximated with the global orthogonal polynomial, thus the numerical optimal result is obtained. Finally, the simulation results show that it is effective and more accurate to adopt GPM to solve the complex optimal control problem of multi-constraint compared to conventional method.