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Identification of the optimal switching for range‐optimal atmospheric flight trajectories
Author(s) -
SEYWALD HANS
Publication year - 1997
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/(sici)1099-1514(199705/06)18:3<159::aid-oca596>3.0.co;2-a
Subject(s) - smoothness , control theory (sociology) , optimal control , discretization , differential inclusion , range (aeronautics) , trajectory , a priori and a posteriori , trajectory optimization , limit (mathematics) , singular control , mathematics , differential (mechanical device) , computer science , mathematical optimization , control (management) , engineering , physics , mathematical analysis , aerospace engineering , philosophy , epistemology , astronomy , artificial intelligence
The optimal switching structure associated with long‐flight‐time, range‐optimal trajectories for a high‐performance atmospheric flight vehicle is determined. The optimal solution, obtained from Pontryagin's minimum principle, consists of six arcs in total. Four arcs are riding the active dynamic pressure limit, one with singular control setting. Identification of the optimal switching structure was achieved with the direct optimization technique TODI (trajectory optimization via differential inclusion). Implemented in a low‐order discretization scheme based on the trapezoidal rule, this code has only modest smoothness requirements and is well suited for problems with discontinuous control jumps at a priori unknown switching times. © 1997 John Wiley & Sons, Ltd.