基于Radau伪谱法的制导炸弹最优滑翔弹道研究
Optimization of Glide Trajectory of Guided Bombs Using a Radau Pseudo-spectral Method
查看参考文献11篇
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文摘
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基于Radau伪谱法求解最优控制问题的原理,研究了滑翔型制导炸弹的最大射程优化问题。对制导炸弹动力学模型进行了无量纲化处理,结合极小值原理推导了最优控制轨迹的解析解和一阶必要性条件,采用Radau伪谱法将弹道优化问题转化为非线性规划问题,基于协态映射原理给出了数值解的最优性验证方法。仿真结果表明,Radau伪谱法能够提供具有工程应用价值的最优解,与常规的最大升阻比滑翔弹道相比,优化后的弹道射程增加10%以上。 |
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其他语种文摘
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The problem of optimizing the maximum range of a glide guided bomb is studied based on the principle of solving optimal control problems using the Radau pseudo-spectral method. The dynamic model of the guided bomb is nondimensionalized. Combining with the Pontryagin minimum principle, the analytic solution of the optimal control and the first-order necessary condition are derived. The trajectory optimization problem is translated to a nonlinear programming via the Radau pseudo-spectral method. Based on covector mapping principle, an optimality verification method is presented for the numerical solution. Simulation results show that the Radau pseudo-spectral method can provide a highly valuable optimal solution for engineering application. Compared with the conventional maximum lift-to-drag ratio gliding trajectory, the trajectory after optimization can be extended by more than 10%. |
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来源
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兵工学报
,2014,35(8):1179-1186 【核心库】
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DOI
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10.3969/j.issn.1000-1093.2014.08.007
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关键词
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兵器科学与技术
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滑翔制导炸弹
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弹道优化
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Radau伪谱法
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地址
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1.
西北工业大学航天学院, 陕西, 西安, 710072
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中国空空导弹研究院第12研究所, 河南, 洛阳, 471009
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语种
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中文 |
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文献类型
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研究性论文 |
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ISSN
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1000-1093 |
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学科
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武器工业 |
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文献收藏号
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CSCD:5227091
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