Distance Fields Over Grids Method for Aircraft Envelope Determination

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Abstract

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. 1
Original languageEnglish
Pages (from-to)1470-1480
JournalJournal of Guidance, Control, and Dynamics: devoted to the technology of dynamics and control
Volume39
Issue number7
DOIs
Publication statusPublished - 2016

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