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Proportional navigation with delayed line-of-sight rate

Dhananjay, N and Lum, Kai-Yew and Xu, Jian-Xin (2013) Proportional navigation with delayed line-of-sight rate. In: IEEE Transactions on Control Systems Technology, 21 (1). pp. 247-253.

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Official URL: http://dx.doi.org/10.1109/TCST.2011.2177980


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.

Item Type: Journal Article
Publication: IEEE Transactions on Control Systems Technology
Publisher: IEEE-Inst Electrical Electronics Engineers Inc
Additional Information: Copyright of this article belongs to IEEE-Inst Electrical Electronics Engineers Inc.
Keywords: Guidance Laws; Lyapunov-Krasovskii Functional; Miss Distance; Proportional navigation; Time Delay Systems
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 18 Jun 2013 11:49
Last Modified: 18 Jun 2013 11:49
URI: http://eprints.iisc.ac.in/id/eprint/46735

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