[1]庞 威,谢晓方,孙 涛,等.基于Gauss伪谱法的制导炸弹最优弹道研究[J].南京理工大学学报(自然科学版),2017,41(01):12.[doi:10.14177/j.cnki.32-1397n.2017.41.01.003]
 Pang Wei,Xie Xiaofang,Sun Tao,et al.Optimization of trajectory of guided bombs using Gausspseudospectral method[J].Journal of Nanjing University of Science and Technology,2017,41(01):12.[doi:10.14177/j.cnki.32-1397n.2017.41.01.003]
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基于Gauss伪谱法的制导炸弹最优弹道研究()
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
41卷
期数:
2017年01期
页码:
12
栏目:
出版日期:
2017-02-28

文章信息/Info

Title:
Optimization of trajectory of guided bombs using Gausspseudospectral method
文章编号:
1005-9830(2017)01-0012-10
作者:
庞 威1谢晓方1孙 涛1郑力会2孙海文1
1.海军航空工程学院 兵器科学与技术系,山东 烟台 264001; 2.海军驻洛阳地区航空设备军事代表室,河南 洛阳 471009
Author(s):
Pang Wei1Xie Xiaofang1Sun Tao1Zheng Lihui2Sun Haiwen1
1.Department of Ordnance Science and Technology,Naval Aeronautical andAstronautical University,Yantai 264001,China; 2.Navy’s Aviation Military Representative Office in Luoyang,Luoyang 47100,China
关键词:
兵器科学与技术 制导炸弹 Gauss伪谱法 非线性规划 序列二次规划法 弹道优化
Keywords:
ordnance science and technology guided bombs Gauss pseudospectral method non-linear programming sequential quadratic programming trajectory optimization
分类号:
T76J5.5
DOI:
10.14177/j.cnki.32-1397n.2017.41.01.003
摘要:
针对滑翔增程制导炸弹快速打击固定目标的弹道优化问题,给出了一种基于Gauss伪谱法的优化方法。以制导炸弹的飞行时间为性能指标,将控制系统简化为一阶惯性环节,引入虚拟控制量作为优化变量; 同时,为满足炸弹本身结构和攻击目标的要求,添加过程约束和末端约束,建立了纵向平面内的弹道优化模型。通过Gauss伪谱法对方程中的控制变量和状态变量离散化,将其转化为非线性规划(Non-linear programming,NLP)问题,采用序列二次规划(Sequential quadratic programming,SQP)方法进行了求解; 基于协态映射定理和一阶必要性最优条件,对求解的结果进行了验证,并与常规最大升阻比法进行了对比。结果表明,Gauss伪谱法不仅能够提高制导炸弹的射程,而且还能够优化炸弹飞行时间。优化后的飞行时间缩短了9.3%以上。
Abstract:
In order to solve the guided bombs’optimal trajectory problem of attacking quickly a fixed target,a trajectory optimization method based on the Gauss pseudospectral method is presented.The control system of a guided bomb is simplified into a first-order inertial system,the virtual control variable is introduced as the control variables.In order to meet the requirements of the bomb’s structure and attack targets,the flight time of a guided bomb is taken into the performance index,the optimization model for the trajectory of the guided bombs is established which includ the process constraint and the end constraint.The control variables and state variables in the equations is discretized by the Gauss pseudospectral method,and the model is transformed into a non-linear programming(NLP)problem which is solved by the sequential quadratic programming(SQP).The results are verified by the co-state mapping theorem and the first order necessary optimality conditions.Compared with the conventional maximum lift-to-drag ratio method,the Gauss pseudospectral method can not only improve the range of the guided bomb,but also optimize the time of the bomb flight.The optimized time is shortened by more than 9.3%。

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备注/Memo

备注/Memo:
收稿日期:2015-12-06 修回日期:2016-12-05
基金项目:中国博士后科学基金(20110622)
作者简介:庞威(1987-),男,博士生,主要研究方向:武器系统建模与仿真,E-mail:metrix_yt@163.com。
引文格式:庞威,谢晓方,孙涛,等.基于Gauss伪谱法的制导炸弹最优弹道研究[J].南京理工大学学报,2017,41(1):12-21.
投稿网址:http://zrxuebao.njust.edu.cn
更新日期/Last Update: 2017-02-28