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航空学报  2015 

基于时间约束集的多弹道式飞行器避撞发射时间规划

DOI: 10.7527/S1000-6893.2014.0352, PP. 2391-2399

Keywords: 协同攻击,避撞,时间约束集,发射时间优化,非线性规划

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Abstract:

提出了通过调整发射时间解决多弹道式飞行器飞行避撞问题的算法框架,在该框架内针对多弹道式飞行器协同打击时是否发生飞行碰撞提出了检验算法,对于飞行器碰撞规避问题建立发射时间约束集模型,约束集由飞行器间发生碰撞的发射时间间隔约束构成。在该时间约束集的基础上建立以多弹道式飞行器同时打击为优化目标、含有不等于号表达式时间约束的优化问题,并通过"Big-M"法将该问题转化为非线性规划问题的标准形式,再利用序列二次规划(SQP)算法进行求解。该框架将发射时间调整问题转化为最优化规划问题,降低了传统遍历性发射时间调整算法的计算复杂度。基于MATLAB平台环境对所提模型及规划算法进行了仿真,验证了所提算法的合理性与有效性,同时具有较高的计算效率。

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