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基于改进信赖域的空空导弹轨迹快速凸优化方法

曾钰文 章惠君 廖雪阳

航空兵器2025,Vol.32Issue(3):64-71,8.
航空兵器2025,Vol.32Issue(3):64-71,8.DOI:10.12132/ISSN.1673-5048.2025.0015

基于改进信赖域的空空导弹轨迹快速凸优化方法

A Rapid Convex Programming Method for Air-to-Air Missile Trajectory Based on Improved Trust-Region Algorithm

曾钰文 1章惠君 1廖雪阳1

作者信息

  • 1. 中国空空导弹研究院,河南洛阳 471009
  • 折叠

摘要

Abstract

Aiming at the shortcomings of traditional guidance laws for air-to-air missiles in handling multiple non-linear constraints during the mid-course guidance,this paper proposes an optimization method for mid-course guidance trajectory using sequential convex programming(SCP),and designs an improved trust-region algorithm to enhance the convergence performance of the optimization.Firstly,taking the parabola-trajectory of air-to-air missile in the longitudi-nal plane as the research object,considering the endpoint constraints,path constraints and state constraints,after line-arizing and discretizing the original state equations and constraints,it establishes the standard convex optimization prob-lem model.On this basis,this paper analyzes the traditional trust-region algorithm and proposes an improved algo-rithm.It adopts a two-phase solution strategy:the first phase addresses the terminal constraint violation caused by the reference trajectories,while the second phase achieves rapid convergence to the optimal trajectory,to significantly im-prove the solving efficiency and convergence stability of the convex optimization problem.Through digital simulation ex-periments,the optimality and convergence of the proposed algorithm and pseudo-spectral method are compared and ana-lyzed.The results indicate that the proposed algorithm can quickly generate satisfactory mid-course guidance trajecto-ries,providing an effective solution for autonomous online guidance of air-to-air missiles under target maneuvering con-ditions.

关键词

序列凸优化/端点约束/过程约束/状态量约束/轨迹优化/信赖域/中制导/空空导弹

Key words

sequential convex programming/endpoint constraint/path constraint/state constraint/trajectory op-timization/trust-region/mid-course guidance/air-to-air missile

分类

军事科技

引用本文复制引用

曾钰文,章惠君,廖雪阳..基于改进信赖域的空空导弹轨迹快速凸优化方法[J].航空兵器,2025,32(3):64-71,8.

航空兵器

OA北大核心

1673-5048

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