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弹道学报  2014 

基于Gauss伪谱法的滑翔弹道快速优化

Keywords: 制导炮弹,弹道,Gauss伪谱法,快速优化,动力学滞后

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Abstract:

针对远程精确制导炮弹弹道优化问题,给出了一种基于Gauss伪谱法的滑翔弹道快速优化方法。以制导炮弹飞行时间为性能指标,考虑一阶动力学滞后,引入虚拟控制量,并将其作为优化变量,为保证攻击效果,对滑翔末端弹道倾角和速度值进行了约束,建立了纵向平面内弹道优化模型。利用Gauss伪谱法对状态量和控制量进行了离散,将最优控制问题转换为非线性规划问题,并利用序列二次规划法对其进行了求解,最后将求解结果与传统的直接打靶法进行了对比。结果表明,该方法具有较高的优化效率,能够快速计算出满足各种约束的滑翔弹道,具有在线优化的潜力。

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