Generalized linear solution of proportional navigation

Author

Shukla, U.S. ; Mahapatra, P.R.

Author_Institution

Indian Inst.of Sci., Bangalore, India

Volume

24

Issue

3

fYear

1988

fDate

5/1/1988 12:00:00 AM

Firstpage

231

Lastpage

238

Abstract

Proportional navigation (PN) equations are not solvable in closed form. Linearized solutions have been widely used for PN system analysis and design, but these are based on overly restrictive assumptions regarding the initial geometry, and are valid only for near-tail-chase pursuits. A generalization of the linearized approach is presented which yields more-accurate estimates of pursuer lateral acceleration than the classical linear solutions as verified by comparison with `exact´ numerical solutions. Further, the solution is applicable over a much wider range of engagement geometries. The treatment is based on a closed-form quasilinearized solution of the PN equations followed by the small-angle approximation only to line-of-sight (LOS) angle rate

Keywords

radionavigation; PN equations; angle rate; closed-form quasilinearized solution; engagement geometries; initial geometry; line-of-sight; linearized approach; proportional navigation; pursuer lateral acceleration; small-angle approximation; Acceleration; Closed-form solution; Differential equations; Geometry; Gravity; Navigation; Nonlinear equations; System analysis and design; Vectors; Yield estimation;

fLanguage

English

Journal_Title

Aerospace and Electronic Systems, IEEE Transactions on

Publisher

ieee

ISSN

0018-9251

Type

jour

DOI

10.1109/7.192091

Filename

192091