Cooperative Guidance Law With Impact Angle Coordination: A Nash Approach

Abstract

In this article, we investigate a cooperative guidance problem against a maneuvering target with impact angle coordination. As is well established, the main challenge is how to design a guidance law for each missile to intercept the target from specified directions with only the local information and information from its connected neighbors. Toward this, we prove that the underlying problem can be treated as a Nash equilibrium (NE) seeking problem, where each missile attempts to minimize its own performance index to achieve interception without unilaterally implicate the team objective, and then we introduce a local observer to facilitate the local implementation of the proposed guidance protocol by ensuring the seeking of NE distributive. Numerical simulations verified the performance of the proposed guidance strategy.