Capturability of the 3-dimensional pure PNG law

Author

Oh, Jae-Hyuk ; Ha, In-Joong

Author_Institution

Dept. of Mech. Eng., MIT, Cambridge, MA, USA

Volume

35

Issue

2

fYear

1999

fDate

4/1/1999 12:00:00 AM

Firstpage

491

Lastpage

503

Abstract

Although a lot of effort has been recently devoted to the capturability analysis of the pure proportional navigation guidance (PPNG) law, there are still significant discrepancies between the analysis results and the actual capturability of the PPNG law. In this paper, a Lyapunov-like approach along with a vector analysis method based on the so-called LOS (line of sight) plane is introduced to analyze the capturability of the 3-dimensional PPNG law against a target maneuvering arbitrarily with time-varying normal acceleration. Thereby, our analysis result can explain the high capturability of the PPNG law theoretically much better than those presented in the prior literature. In our capturability analysis, the nonlinear dynamics of 3-dimensional pursuit situations have been taken into full account. Our approach is also expected to be useful for the design and analysis of other PPNG-like missile guidance laws

Keywords

Lyapunov methods; missile guidance; proportional control; target tracking; time-varying systems; 3D pure proportional navigation guidance law; 3D pursuit situations; Lyapunov-like approach; arbitrarily manoeuvring target; capturability analysis; line of sight plane; missile guidance laws; nonlinear dynamics; time-varying normal acceleration; vector analysis method; Acceleration; Aerodynamics; Angular velocity; Automatic control; Closed-form solution; Mechanical engineering; Missiles; Navigation; Nonlinear equations; Sufficient conditions;

fLanguage

English

Journal_Title

Aerospace and Electronic Systems, IEEE Transactions on

Publisher

ieee

ISSN

0018-9251

Type

jour

DOI

10.1109/7.766931

Filename

766931