首页|基于序列凸优化的带动力飞行器再入轨迹优化

基于序列凸优化的带动力飞行器再入轨迹优化

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对序列凸优化方法在带动力飞行器再入轨迹优化中的应用进行了研究.首先,针对原始优化问题中控制量高度耦合且非线性的问题,通过引入新的控制量并建立与原始控制量的映射关系,得到关于控制量为线性的状态方程.其次,对原始优化问题中的非线性动力学方程、性能指标、过程约束与控制量约束进行松弛和线性化处理,通过附加状态变量的信赖域约束,并在性能指标中加入速度方位角的积分项以保证松弛和线性化的合理性.进一步,通过离散技术,将原始问题转化为一个凸优化问题.最后,通过数值仿真进行了算法验证.结果表明,本文算法对于带动力再入轨迹优化问题具有较高的求解精度,序列凸优化求解结果满足原始非线性约束,在一定精度范围内优化解可以作为原始问题的可行解.
Powered Vehicle Entry Trajectory Optimization Based on Sequential Convex Optimization
The sequential convex optimization method applied to the powered vehicle entry trajectory optimi-zation is researched in this paper.Firstly,in order to solve the problem of high coupling and non-linearity of control variables in the original optimization,the linear state equation about control variables is obtained by choosing new control variables due to the relationship between original and new control variables estab-lished.Secondly,the nonlinear dynamic equations,performance index and constraints on the path and con-trol variables in the original optimization occurrence are relaxed and linearized.Next,aiming at ensuring the validity of relaxation and linearization,the trust-region constraint is applied to the state variables,and the integral term of velocity azimuth is added to the performance index.Furthermore,the original problem is converted to a convex optimization problem with discretization technique.Finally,the algorithm is proven to be effective by numerical simulation.Under the original nonlinear constraints satisfied,the proposed al-gorithm is proven to be reasonable with high solving accuracy for the powered vehicle entry trajectory optimi-zation,and the optimized solution can be used as a feasible approach to the original problem in the range of defined precision.

Vehicle entryTrajectory optimizationSequential convex optimizationPowered entryRelaxa-tion and linearization

彭中新、祁振强、李永远

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中国运载火箭技术研究院,北京 100076

飞行器再入 轨迹优化 序列凸优化 带动力再入 松弛与线性化

2024

航天控制
北京航天自动控制研究所

航天控制

CSTPCD
影响因子:0.29
ISSN:1006-3242
年,卷(期):2024.42(1)
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