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15 July 1999 Generalized ideal proportional navigation
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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.
© (1999) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Pin-Jar Yuan, Ming-Ghow Chen, and Jeng-Shing Chern "Generalized ideal proportional navigation", Proc. SPIE 3692, Acquisition, Tracking, and Pointing XIII, (15 July 1999);

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