本文研究多約束條件下的最優(yōu)兩脈沖空間攔截問題。對空間攔截器的末端位置、脈沖和攔截時刻以及速度脈沖的分量大小施加多約束。通過變分法將這些優(yōu)化問題歸結為多點邊值問題。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化為等式約束。為此提出一種新的動態(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彈的兩脈沖空間攔截問題。在高精度數值解基礎上,得到一些局部最優(yōu)解的結論。具體來說,通過數值算例,證明了當存在時間和速度脈沖約束時,多約束攔截問題可能出現最優(yōu)兩脈沖解;如果兩個脈沖時刻是自由的,那么具有速度脈沖約束的兩脈沖空間攔截問題可能退化為單脈沖情形。 

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

【文章頁數】：24 頁

【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】：
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：3515708