关键词: 协同制导, 相对视线角约束, 能量最优, 分布式凸优化, 原始对偶算法, 目标机动

Abstract: Multi-aircraft angle-optimal cooperative guidance enables multi-directional interception of maneuvering targets with minimal energy consumption, making it an important research direction in the field of guidance. Existing methods rely on global information and centralized communication, which suffer from low reliability in practical applications. To address the issue, this paper proposes an energy-optimal relative-angle-constrained cooperative guidance by distributed convex optimization. This method aims to resolve the contradiction between the locality of distributed information and the global optimality of cooperative commands. Based on the Generalized Trajectory Shaping Guidance Law (GTSG), the analytic mapping relationship between aircraft control energy and desired terminal line-of-sight (LOS) angles is derived. A convex objective function is formulated using total control energy, while convex constraints are established based on relative LOS angle constraints, thereby constructing a distributed convex optimization problem. The Extended Primal-Dual Algorithm (EPDA) is then introduced to achieve distributed global optimization, enabling real-time coordination of aircraft LOS angles for minimum-energy interception. The simulation results and analysis demonstrate that, compared with existing centralized angle-coordinated guidance algorithms, the proposed method eliminates reliance on a central node while ensuring global energy optimality.

Key words: cooperative guidance, relative LOS angle constraints, energy-optimal, distributed convex optimization, Primal-dual algorithm, maneuvering target