Proportional Navigation With Delayed Line-of-Sight Rate

This brief discusses the convergence analysis of proportional navigation (PN) guidance law in the presence of delayed line-of-sight (LOS) rate information. The delay in the LOS rate is introduced by the missile guidance system that uses a low cost sensor to obtain LOS rate information by image proce...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on control systems technology 2013-01, Vol.21 (1), p.247-253
Main Authors: Dhananjay, N., Lum, Kai-Yew, Xu, Jian-Xin
Format: Article
Language:English
Subjects:
Acceleration
Acquisitions & mergers
Convergence
Delay
Deterioration
Differential equations
Guidance laws
Law
Lyapunov methods
Lyapunov-Krasovskii functional
Mathematical analysis
Mathematical models
miss distance
Missiles
Navigation
Proportional navigation
Studies
time delay systems
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This brief discusses the convergence analysis of proportional navigation (PN) guidance law in the presence of delayed line-of-sight (LOS) rate information. The delay in the LOS rate is introduced by the missile guidance system that uses a low cost sensor to obtain LOS rate information by image processing techniques. A Lyapunov-like function is used to analyze the convergence of the delay differential equation (DDE) governing the evolution of the LOS rate. The time-to-go until which decreasing behaviour of the Lyapunov-like function can be guaranteed is obtained. Conditions on the delay for finite time convergence of the LOS rate are presented for the linearized engagement equation. It is observed that in the presence of line-of-sight rate delay, increasing the effective navigation constant of the PN guidance law deteriorates its performance. Numerical simulations are presented to validate the results.
ISSN:1063-6536
1558-0865
DOI:10.1109/TCST.2011.2177980