Analysis of lateral maximal range based on maximum principle

Author

Jianhua Wang ; Luhua Liu ; Guojian Tang

Author_Institution

Coll. of Aerosp. Sci. & Eng., Nat. Univ. of Defense Technol. Changsha, Changsha, China

fYear

2014

fDate

8-10 Aug. 2014

Firstpage

709

Lastpage

714

Abstract

A quick analysis approach based on Pontryagin principle is proposed to calculate the maximum cross-range, and the lateral accessible region in the new redefined coordinate is analyzed. The order and non-linearity of the point-mass motion function is reduced by coordinate transformation and replacing the independent variable, the trajectory optimization is cast as an optimal control problem, then the two point boundary value problem based on maximum principle is changed to a univariate root-finding problem with certain boundary, at last the accessible region question is analyzed using the method this article provided. The method could befittingly reduce the iteration and calculation, and the numerical results show that this analysis approach is effective.

Keywords

aircraft control; boundary-value problems; maximum principle; trajectory optimisation (aerospace); Pontryagin principle; coordinate transformation; lateral accessible region; lateral maximal range analysis; maximum principle; optimal control problem; point-mass motion function; quick analysis approach; trajectory optimization; two point boundary value problem; univariate root-finding problem; Boundary value problems; Equations; Mathematical model; Optimization; Trajectory; Vehicle dynamics; Vehicles; Pontryagin principle; accessible region; lateral maximum range; two point boundary value problem;

fLanguage

English

Publisher

ieee

Conference_Titel

Guidance, Navigation and Control Conference (CGNCC), 2014 IEEE Chinese

Conference_Location

Yantai

Print_ISBN

978-1-4799-4700-3

Type

conf

DOI

10.1109/CGNCC.2014.7007299

Filename

7007299