Title

Gain-Varying Guidance Algorithm using Differential Geometric Guidance Command

Authors

Authors

C. Y. Li; W. X. Jing; H. Wang;Z. G. Qi

Comments

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Abbreviated Journal Title

IEEE Trans. Aerosp. Electron. Syst.

Keywords

Missiles; Acceleration; Trajectory; Time domain analysis; Heuristic; algorithms; Algorithm design and analysis; Geometry; MISSILE GUIDANCE; PROPORTIONAL NAVIGATION; LAW; PURE; TARGETS; ANGLE; TIME; Engineering, Aerospace; Engineering, Electrical & Electronic; Telecommunications

Abstract

A new gain-varying algorithm for the three-dimensional pure proportional navigation (PPN) guidance problem is presented using the differential geometric (DG) guidance command. To this end, classical differential geometry theory is introduced, firstly, to transform and modify the DG guidance curvature command so as to facilitate the practical implementation and to avoid singularity of the guidance command. Then, a new gain-varying guidance scheme is developed using the modified DG guidance command, as well as the principle of the PPN guidance law, the new guidance law does not need the evaluation of time-to-go information. Furthermore, the capture analysis of the PPN-type guidance law is qualitatively studied in terms of the DG formulations, and a post-launch capture condition is derived and expressed in geometric terms. Simulation results demonstrate that the proposed guidance algorithm performs better than the conventional PPN guidance law in the case of intercepting maneuvering targets.

Journal Title

Ieee Transactions on Aerospace and Electronic Systems

Volume

46

Issue/Number

2

Publication Date

1-1-2010

Document Type

Article

Language

English

First Page

725

Last Page

736

WOS Identifier

WOS:000277499800017

ISSN

0018-9251

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