Journal ArticleDOI
The closed-form solution of generalized proportional navigation
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This article is published in Journal of Guidance Control and Dynamics.The article was published on 1987-03-01. It has received 74 citations till now. The article focuses on the topics: Proportional navigation & Missile guidance.read more
Citations
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A Lyapunov-like approach to performance analysis of 3-dimensional pure PNG laws
Seong-Ho Song,In-Joong Ha +1 more
TL;DR: It is proved that a missile guided by the 3-dimensional PPNG law can always intercept a target maneuvering randomly in the3-dimensional space if 1) the target acceleration varies with a known bound, 2) the navigation constant is selected large, and either 3a or 3b the initial heading error is small.
Journal ArticleDOI
Closed-form solution of pure proportional navigation
TL;DR: In this article, the closed-form solution of the equations of motion of an ideal missile pursuing a nonmaneuvering target according to the pure proportional navigation law is obtained as a function of the polar coordinates for all real navigation constants N>or=2.
Journal ArticleDOI
Ideal Proportional Navigation
Pin-Jar Yuan,Jeng-Shing Chern +1 more
TL;DR: In this article, the closed-form solutions of ideal proportional navigation are completely derived for maneuvering and nonmaneuvering targets, and some important characteristics related to the system performance are introduced.
Journal ArticleDOI
The proportional navigation dilemma-pure or true?
U.S. Shukla,P.R. Mahapatra +1 more
TL;DR: It is concluded that PPN is a better guidance law in a practical sense than TPN and its generalizations.
Journal ArticleDOI
Adaptive nonlinear guidance law considering control loop dynamics
Dongkyoung Chwa,Jin Young Choi +1 more
TL;DR: In this paper, a new adaptive nonlinear guidance law is proposed to compensate for the uncertainties in both target acceleration and control loop dynamics, which adopts the sliding mode control approach with adaptation for unknown bound of uncertainties.
References
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Journal ArticleDOI
Fundamentals of proportional navigation
TL;DR: In this article, the basic theory of proportional navigation is presented and two variations on this guidance method are treated: one in which the commanded acceleration is biased by a small value of the measured rotational rate of the line of sight between the interceptor and its target.
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A qualitative study of proportional navigation
TL;DR: In this article, the trajectories of an ideal missile homing on a target according to the proportional navigation law were analyzed and conditions were determined which enable one to demonstrate that the missile always reaches the target regardless of the initial conditions at launch; the rotational rate of the line of sight is decreasing at the pursuit end.
Journal ArticleDOI
The closed-form solution of true proportional navigation
TL;DR: In this paper, the closed-form solution of the equations of motion of an ideal missile pursuing a non-maneuvering target according to the true propotional navigation law is obtained, and the conditions necessary for the missile to reach the target are determined.