飞控与探测2025，Vol.8Issue(1)：67-76,10.DOI:10.20249/j.cnki.2096-5974.2025.01.008
一种基于凸优化的高速飞行器轨迹优化方法
A Hypersonic Vehicle Trajectory Optimization Method Based on Convex Optimization
顾嘉耀 1贾世伟 1郑天宇 1钟继鸿 1陈好1
作者信息
摘要
Abstract
Aiming at the problem of trajectory optimization of high-speed aircraft based on energy management,this paper proposes a trajectory optimization method of high-speed aircraft based on convex optimization,considering the strict constraints of the engine working process on flight state.It is considered that under the premise that the engine runs out of fuel and shuts down.The total impulse of the aircraft is certain,and the optimal trajectory with the longest range can be solved to meet the needs of hypersonic long-distance flight missions.First,based on the particle model of aircraft longitudinal dynamics,the fourth-order dynamic equation with aircraft mass as variable is obtained,and the problem of solving the optimal trajectory of aircraft range considering engine working constraints is transformed into a series of nonlinear programming problems.Sec-ond,the nonlinear programming problem is transformed into a second-order cone programming problem.After linearization and discretization of the dynamic equation and inequality constraints,the primal-dual interior point method is used to solve the problem,and the optimal trajectory is obtained.Finally,the simulation results show that the proposed optimization method is within the engine working constraints and the optimal trajectory based on the least energy is obtained.关键词
凸优化/非线性规划/轨迹优化/约束条件/二阶锥规划Key words
convex optimization/nonlinear programming/trajectory optimization/constraints/second-order cone programming引用本文复制引用
顾嘉耀,贾世伟,郑天宇,钟继鸿,陈好..一种基于凸优化的高速飞行器轨迹优化方法[J].飞控与探测,2025,8(1):67-76,10.
