Optimal guidance of the Isotropic Rocket in a partially uncertain flow field

作者: Jhanani Selvakumar , Efstathios Bakolas

DOI: 10.1109/ECC.2015.7331048

关键词:

摘要: In this paper, we address the problem of characterizing optimal strategy for guiding so-called Isotropic Rocket to a fixed target in presence partially known flowfield. We reformulate guidance into an equivalent two-player pursuit evasion game, where evader has modified vectogram. First, characterize strategies both players, assuming that is capturable. Then, derive necessary condition capture, and visualize capturability envelope using numerical simulations which compute level sets value function (isochrones). addition, consider more general case pursuer affected by friction (or drag). case, identify capture zones from geometric properties isochrones.

参考文章(18)
Michael H. Breitner, H. Joseph Pesch, Reentry Trajectory Optimization under Atmospheric Uncertainty as a Differential Game Advances in Dynamic Games and Applications. pp. 70- 86 ,(1994) , 10.1007/978-1-4612-0245-5_4
Geert Jan Olsder, Tamer Başar, Dynamic Noncooperative Game Theory ,(1982)
P. Bernhard, Linear-quadratic, two-person, zero-sum differential games: Necessary and sufficient conditions Journal of Optimization Theory and Applications. ,vol. 27, pp. 51- 69 ,(1979) , 10.1007/BF00933325
J. Lewin, G.J. Olsder, The isotropic rocket—A surveillance evasion game Computers & Mathematics With Applications. ,vol. 18, pp. 15- 34 ,(1989) , 10.1016/0898-1221(89)90121-1
Efstathios Bakolas, Optimal Guidance of the Isotropic Rocket in the Presence of Wind Journal of Optimization Theory and Applications. ,vol. 162, pp. 954- 974 ,(2014) , 10.1007/S10957-013-0504-4
S. Clemhout, H. Y. Wan, Interactive economic dynamics and differential games Journal of Optimization Theory and Applications. ,vol. 27, pp. 7- 30 ,(1979) , 10.1007/BF00933323