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http://dx.doi.org/10.5139/JKSAS.2009.37.10.998

Analysis on Optimality of Proportional Navigation With Time-Varying Velocity  

Jeon, In-Soo (국방과학연구소)
Lee, Jin-Ik (국방과학연구소)
Publication Information
Journal of the Korean Society for Aeronautical & Space Sciences / v.37, no.10, 2009 , pp. 998-1001 More about this Journal
Abstract
This paper shows that the conventional proportional navigation guidance(PNG) law with a constant navigation gain is an optimal solution strictly also when the velocity is varying during engagement. Especially, PNG with navigation constant, 3, is an optimal solution minimizing a closing velocity weighted induced-drag. While most of previous studies on optimality of PNG were relied on the linear formulation and the constant speed assumption, this study presents more general analysis results on optimality of PNG based on the nonlinear formulation and the time-varying velocity assumption.
Keywords
Proportional Navigation Guidance; Optimal Guidance; Time-Varying Velocity;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 H. Cho, C. K. Ryoo, and M. J. Tahk, "Closed-Form Optimal Guidance Law for Missiles of Time-Varying Velocity”, Journal of Guidance, Control, and Dynamics, Vol. 19, No. 5, Sep.-Oct. 1996, pp. 1017-1022.   DOI   ScienceOn
2 전인수, 이진익, “비선형 운동방정식에 근거한 비례항법유도의 최적성에 관한 해석”, 한국항공우주학회지, 제37권 제4호, 2009, pp. 367-371.   과학기술학회마을   DOI
3 P. Zarchan, Tactical and Strategic Missile Guidance, AIAA Inc., 4th Ed. 2002.
4 A. E. Bryson, Jr., Y. C. Ho, Applied Optimal Control, Hemisphere Publishing Co., 1975.
5 E. Kleindler, "Optimality of Proportional Navigation”, AIAA Journal, Vol. 11, No. 6, June 1973, pp. 878-880.   DOI
6 조항주, “PNG의 항법상수와 이와 관련된 최적제어 문제”, 한국자동제어학술회의논문집, 1992. 10, pp. 578-583.   과학기술학회마을
7 E. J. Ohlmeyer, "Control of Terminal Engagement Geometry Using Generalized Vector Explicit Guidance”, Proceedings of the American Control Conference and Exhibit, Denver, Colorado, June 2003, pp. 396-401.   DOI