發(fā)布時(shí)間：2021-11-24 09:34

　　本文研究多約束條件下的最優(yōu)兩脈沖空間攔截問(wèn)題。對(duì)空間攔截器的末端位置、脈沖和攔截時(shí)刻以及速度脈沖的分量大小施加多約束。通過(guò)變分法將這些優(yōu)化問(wèn)題歸結(jié)為多點(diǎn)邊值問(wèn)題。為使用拉格朗日乘子法,采用松弛變量法將所有不等式約束轉(zhuǎn)化為等式約束。為此提出一種新的動(dòng)態(tài)松弛變量法,并建立一種間接優(yōu)化方法。隨后,用所提方法解決自由飛行彈道導(dǎo)彈的兩脈沖空間攔截問(wèn)題。在高精度數(shù)值解基礎(chǔ)上,得到一些局部最優(yōu)解的結(jié)論。具體來(lái)說(shuō),通過(guò)數(shù)值算例,證明了當(dāng)存在時(shí)間和速度脈沖約束時(shí),多約束攔截問(wèn)題可能出現(xiàn)最優(yōu)兩脈沖解;如果兩個(gè)脈沖時(shí)刻是自由的,那么具有速度脈沖約束的兩脈沖空間攔截問(wèn)題可能退化為單脈沖情形。 

【文章來(lái)源】：Frontiers of Information Technology & Electronic Engineering. 2020,21(07)EISCICSCD

【文章頁(yè)數(shù)】：24 頁(yè)

【文章目錄】：
1 Introduction
2 Problem statement
3 Necessary conditions for equality constraints
4 Necessary conditions for inequality constraints
    4.1 Inequality constraints on time instants and velocity impulses
    4.2 Inequality constraints on the position vec-tor of the interceptor
5 One-impulse space interception problem
6 Occurrence of two velocity impulses
7 A terminal position constraint
8 Numerical verification for multiple constraints
9 Conclusions
Compliance with ethics guidelines
Appendix A:Derivation of the BCs for Problem 1
Appendix B:Boundary conditions,parameters,and initial values for Examples 2 and 3
Appendix C:Initial data
Appendix D:Time change


【參考文獻(xiàn)】：
期刊論文
[1]Hohmann transfer via constrained optimization[J]. Li XIE,Yi-qun ZHANG,Jun-yan XU.  Frontiers of Information Technology & Electronic Engineering. 2018(11)



本文編號(hào)：3515708