Full Text:   <63>

CLC number: 

On-line Access: 2020-04-17

Received: 2018-12-05

Revision Accepted: 2019-08-12

Crosschecked: 0000-00-00

Cited: 0

Clicked: 85

Citations:  Bibtex RefMan EndNote GB/T7714

-   Go to

Article info.
Open peer comments

Frontiers of Information Technology & Electronic Engineering  1998 Vol.-1 No.-1 P.

10.1631/FITEE.1800763


Optimal two-impulse space interception with multiple constraints


Author(s):  Li XIE, Yi-qun ZHANG, Jun-yan XU

Affiliation(s):  State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, Beijing 102206, China; more

Corresponding email(s):   lixie@ncepu.edu.cn, yiqunzhang@hotmail.com, junyan_Xu@sina.cn

Key Words:  Space interception problems, Variational method, Multiple constraints, Two velocity impulses, Multi-point boundary value problems, Local optimal solutions, Dynamic slackness variable method


Li XIE, Yi-qun ZHANG, Jun-yan XU. Optimal two-impulse space interception with multiple constraints[J]. Frontiers of Information Technology & Electronic Engineering, 1998, -1(-1): .

@article{title="Optimal two-impulse space interception with multiple constraints",
author="Li XIE, Yi-qun ZHANG, Jun-yan XU",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="-1",
number="-1",
pages="",
year="1998",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.1800763"
}

%0 Journal Article
%T Optimal two-impulse space interception with multiple constraints
%A Li XIE
%A Yi-qun ZHANG
%A Jun-yan XU
%J Frontiers of Information Technology & Electronic Engineering
%V -1
%N -1
%P
%@ 2095-9184
%D 1998
%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.1800763

TY - JOUR
T1 - Optimal two-impulse space interception with multiple constraints
A1 - Li XIE
A1 - Yi-qun ZHANG
A1 - Jun-yan XU
J0 - Frontiers of Information Technology & Electronic Engineering
VL - -1
IS - -1
SP -
EP -
%@ 2095-9184
Y1 - 1998
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/FITEE.1800763


Abstract: 
We consider optimal two-impulse space interception problems with multiple constraints. The multiple constraints are imposed on the terminal position of a space interceptor, impulse and impact instants, and the component-wise magnitudes of velocity impulses. These optimization problems are formulated as multi-point boundary value problems and solved by the calculus of variations. Slackness variable methods are used to convert all inequality constraints into equality constraints so that the Lagrange multiplier method can be used. A new dynamic slackness variable method is presented. As a result, an indirect optimization method is developed. Subsequently, our method is used to solve the two-impulse space interception problems of free-flight ballistic missiles. A number of conclusions for local optimal solutions have been drawn based on highly accurate numerical solutions. Specifically, by numerical examples, we show that when time and velocity impulse constraints are imposed, optimal two-impulse solutions may occur; if two-impulse instants are free, then a two-impulse space interception problem with velocity impulse constraints may degenerate to a one-impulse case.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Open peer comments: Debate/Discuss/Question/Opinion

<1>

Please provide your name, email address and a comment





Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - Journal of Zhejiang University-SCIENCE