Open AccessDistance-Fields-Over-Grids Method for Aircraft Envelope Determination
Author(s) -
Roel Helsen,
Erik-Jan Van Kampen,
Coen C. de Visser,
Qiping Chu
Publication year - 2016
Publication title -
journal of guidance control and dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.573
H-Index - 143
eISSN - 1533-3884
pISSN - 0731-5090
DOI - 10.2514/1.g000824
Subject(s) - reachability , envelope (radar) , discretization , computation , set (abstract data type) , grid , nonlinear system , mathematical optimization , state space , grid method multiplication , computer science , state (computer science) , algorithm , mathematics , control theory (sociology) , mathematical analysis , geometry , physics , control (management) , radar , artificial intelligence , telecommunications , statistics , quantum mechanics , programming language
In this research, the concept of posing the flight envelope as a reachable set is ex- plored further and it is investigated whether the "Distance Fields Over Grids (DFOG)" method for reachability computations is a viable method for envelope determination. The DFOG method approximates the reachable set of a dynamic system by solving a number of optimal control problems over a grid in the state-space. Then, the end- points of the resulting optimal trajectories are used to provide an approximation of the reachable set. The DFOG method is improved by using a 2nd order RK method for the state discretization and developing a new adaptive grid selection approach. This method is then applied to the computation of a four-dimensional reachable set of a nonlinear high-fidelity F-16 model. The results are compared to results obtained pre- viously with level sets and show that the DFOG method provides a less conservative approximation to the reachable set.
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