DocumentCode :
752608
Title :
Capturability of a Geometric Guidance Law in Relative Velocity Space
Author :
Dhananjay, Narayanachar ; Ghose, Debasish ; Bhat, M. Seetharama
Author_Institution :
Dept. of Aerosp. Eng. & the Guidance, Indian Inst. of Sci., Bangalore
Volume :
17
Issue :
1
fYear :
2009
Firstpage :
111
Lastpage :
122
Abstract :
In this paper, capturability of a recently proposed geometric guidance law is analyzed in the plane defined by the relative velocity vector. The kinematic equations for planar engagements are derived in the relative velocity space. The analysis is done completely in the time domain. The capturability analysis of the guidance law is carried out for the entire relative velocity space as compared with the existing work where classical geometric curve theory is used to obtain and analyze the guidance law. The entire relative velocity space is partitioned into subsets corresponding to different missile and target engagement geometries. Sufficient conditions for capture are then obtained by analyzing the differential equations governing the motion of the trajectories in the relative velocity space. A comparison of the capture conditions obtained in this paper and previous work is presented. It is seen that analysis in the relative velocity space relaxes the condition on the navigation gain in the guidance law. From the analysis of both nonmaneuvering and maneuvering targets, it is also seen that a combination of these sufficient conditions can be used to obtain a more general capturability analysis of the guidance law. Numerical simulation results are given to validate the analytical results.
Keywords :
difference equations; geometry; missile guidance; set theory; time-domain analysis; differential equation; geometric guidance law capturability analysis; kinematic equation; missile geometry; planar engagement; relative velocity space; subsets; target engagement geometry; time domain; trajectory motion; Capturability; capture region; collision course; proportional navigation; relative velocity space; trajectory;
fLanguage :
English
Journal_Title :
Control Systems Technology, IEEE Transactions on
Publisher :
ieee
ISSN :
1063-6536
Type :
jour
DOI :
10.1109/TCST.2008.924561
Filename :
4543845
Link To Document :
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