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A Powerful Kinematic Model for Proportional Navigation of Guided Weapons Against Maneuvering Targets

Shukla, Uday S and Mahapatra, Pravas R (1989) A Powerful Kinematic Model for Proportional Navigation of Guided Weapons Against Maneuvering Targets. In: IEEE National Aerospace and Electronics Conference, 1989. NAECON 1989, 22-26 May, Dayton,OH, Vol.1, 194-120.


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An accurate solution is presented of the nonlinear differential equations describing the pursuer motion under the PN law in the general case when the target is laterally maneuvering. A quasilinearization (QL) approach is used, followed by a perturbation technique to obtain analytical solutions for the trajectory parameters. Explicit expression for the pursuer lateral acceleration is derived and is shown to contain contributions due to initial heading error and target maneuver, with a coupling between the two effects. The solution is shown to be a substantial and consistent generalization of the classical linear solution for maneuvering targets. The generalized QL solution presented here provides very accurate estimates of pursuer lateral acceleration over a much broader range of engagement geometries and target maneuvers than presently available analytical solutions. The analytical solution is of special value for (i) generating accurate insight into PN behavior for maneuvering targets (ii) aiding rapid design calculation involving tradeoff studies (iii) modelling larger systems in which the PN law appears as a building block, and (iv) performing real-time computations of launch envelope, even on modest airborne computers on launching aircraft, to ensure successful intercept.

Item Type: Conference Paper
Publisher: IEEE
Additional Information: Copyright 1989 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 30 May 2006
Last Modified: 19 Sep 2010 04:27
URI: http://eprints.iisc.ac.in/id/eprint/7101

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