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Approximate closed-form solutions of realistic true proportional navigation guidance using the Adomian decomposition method

Garai, T and Mukhopadhyay, Samrat and Ghose, D (2009) Approximate closed-form solutions of realistic true proportional navigation guidance using the Adomian decomposition method. In: Proceedings of the institution of mechanical engineers part g-journal of aerospace engineering, 223 (G3). pp. 189-199.

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Abstract

Approximate closed-form solutions of the non-linear relative equations of motion of an interceptor pursuing a target under the realistic true proportional navigation (RTPN) guidance law are derived using the Adomian decomposition method in this article. In the literature, no study has been reported on derivation of explicit time-series solutions in closed form of the nonlinear dynamic engagement equations under the RTPN guidance. The Adomian method provides an analytical approximation, requiring no linearization or direct integration of the non-linear terms. The complete derivation of the Adomian polynomials for the analysis of the dynamics of engagement under RTPN guidance is presented for deterministic ideal case, and non-ideal dynamics in the loop that comprises autopilot and actuator dynamics and target manoeuvre, as well as, for a stochastic case. Numerical results illustrate the applicability of the method.

Item Type: Journal Article
Additional Information: Copyright for this article belongs to Professional Engineering Publishing Ltd.
Keywords: closed-form;realistic true proportional navigation;Adomian decomposition;guidance laws;non-linear systems.
Department/Centre: Division of Electrical Sciences > Electrical Engineering
Date Deposited: 17 Jun 2009 10:45
Last Modified: 17 Oct 2012 04:53
URI: http://eprints.iisc.ernet.in/id/eprint/20835

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