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Numerical solution of the minimum‐time flight of a glider through a thermal by use of multiple shooting methods
Author(s) -
Lorenz Jürgen
Publication year - 1985
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/oca.4660060206
Subject(s) - glider , shooting method , thermal , point (geometry) , mathematics , variable (mathematics) , boundary value problem , control theory (sociology) , computer science , mathematical optimization , mathematical analysis , control (management) , geometry , algorithm , physics , meteorology , artificial intelligence
The problem of the time‐optimal flight of a glider through a given thermal is treated with the calculus of variations. The resulting two‐point boundary value problem is solved using the multiple shooting method. Solutions are obtained for various parameter values. For special values of these parameters, a branching of the solutions is observed. Additional solutions are obtained for which the control variable and the normal load factor are constrained by their maximum allowed values.