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Proceedings Paper

Generalized ideal proportional navigation
Author(s): Pin-Jar Yuan; Ming-Ghow Chen; Jeng-Shing Chern
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Paper Abstract

Some generalized proportional navigation were studied before under the assumption that the magnitude of commanded acceleration is proportional to the product of line-of-sight rate and closing speed or line-of-sight rate and it is applied in the direction with a bias angle to the normal direction of line-of-sight. Now in this article, the generalized ideal proportional navigation is introduced, in which the commanded acceleration is applied in a direction with a bias angle to the normal direction of relative velocity and its magnitude is proportional to the product of relative speed and line-of-sight rate between interceptor and its target. The exact and compete closed-form solutions are derived under this modified guidance scheme for both maneuvering and non-maneuvering targets. Some related important characteristics, such as capture capability and energy cost, are investigated and discussed. The variation of bias angle will induce the change of capture area and energy coast required. Also, a typical example of target maneuver is introduced to describe the effect of target maneuver easily. It shows that the target maneuver will decrease the capture area and increase the energy cost for effective intercept of target.

Paper Details

Date Published: 15 July 1999
PDF: 12 pages
Proc. SPIE 3692, Acquisition, Tracking, and Pointing XIII, (15 July 1999); doi: 10.1117/12.352857
Show Author Affiliations
Pin-Jar Yuan, Chung Shan Institute of Science and Technology (Taiwan)
Ming-Ghow Chen, Chung Shan Institute of Science and Technology (Taiwan)
Jeng-Shing Chern, Chung Shan Institute of Science and Technology (Taiwan)


Published in SPIE Proceedings Vol. 3692:
Acquisition, Tracking, and Pointing XIII
Michael K. Masten; Larry A. Stockum, Editor(s)

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