Analysis of generalized guidance laws for homing missiles

Author

Vathsal, S. ; Rao, M.N.

Author_Institution

Directorate of Syst., Defence Res. & Dev. Lab., Hyderabad, India

Volume

31

Issue

2

fYear

1995

fDate

4/1/1995 12:00:00 AM

Firstpage

514

Lastpage

521

Abstract

It is shown that the optimal guidance problem can be handled as a Bolza-type problem which can be solved by straightforward calculation. The solution proves to be different from that given by Yang, et al. (1989) and is verified to be a minimum performance index solution. Also presented is an alternate unified approach to the solution of the nonlinear system of differential equation of the generalized proportional navigation law discussed earlier by Yang, et al. This unified equation has been solved for all the different cases of proportional navigation for which closed-form solutions have been published by earlier authors.<>

Keywords

minimisation; missile guidance; nonlinear differential equations; optimal control; partial differential equations; Bolza-type problem; closed-form solutions; differential equation; generalized guidance laws; generalized proportional navigation law; homing missiles; nonlinear system; proportional navigation; unified approach; Acceleration; Boundary conditions; Closed-form solution; Differential equations; Lagrangian functions; Missiles; Navigation; Nonlinear equations; Performance analysis; Research and development;

fLanguage

English

Journal_Title

Aerospace and Electronic Systems, IEEE Transactions on

Publisher

ieee

ISSN

0018-9251

Type

jour

DOI

10.1109/7.381902

Filename

381902