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Multiaircraft Optimal 4D Trajectory Planning Using Logical Constraints
Joint Authors
Seenivasan, Dinesh B.
Olivares, Alberto
Staffetti, Ernesto
Source
International Journal of Aerospace Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-12-03
Country of Publication
Egypt
No. of Pages
15
Abstract EN
This paper studies the trajectory planning problem for multiple aircraft with logical constraints in disjunctive form which arise in modeling passage through waypoints, distance-based and time-based separation constraints, decision-making processes, conflict resolution policies, no-fly zones, or obstacle or storm avoidance.
Enforcing separation between aircraft, passage through waypoints, and obstacle avoidance is especially demanding in terms of modeling efforts.
Indeed, in general, separation constraints require the introduction of auxiliary integer variables in the model; for passage constraints, a multiphase optimal control approach is used, and for obstacle avoidance constraints, geometric approximations of the obstacles are introduced.
Multiple phases increase model complexity, and the presence of integer variables in the model has the drawback of combinatorial complexity of the corresponding mixed-integer optimal control problem.
In this paper, an embedding approach is employed to transform logical constraints in disjunctive form into inequality and equality constraints which involve only continuous auxiliary variables.
In this way, the optimal control problem with logical constraints is converted into a smooth optimal control problem which is solved using traditional techniques, thereby reducing the computational complexity of finding the solution.
The effectiveness of the approach is demonstrated through several numerical experiments by computing the optimal trajectories of multiple aircraft in converging and intersecting arrival routes with time-based separation constraints, distance-based separation constraints, and operational constraints.
American Psychological Association (APA)
Seenivasan, Dinesh B.& Olivares, Alberto& Staffetti, Ernesto. 2019. Multiaircraft Optimal 4D Trajectory Planning Using Logical Constraints. International Journal of Aerospace Engineering،Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1156651
Modern Language Association (MLA)
Seenivasan, Dinesh B.…[et al.]. Multiaircraft Optimal 4D Trajectory Planning Using Logical Constraints. International Journal of Aerospace Engineering No. 2019 (2019), pp.1-15.
https://search.emarefa.net/detail/BIM-1156651
American Medical Association (AMA)
Seenivasan, Dinesh B.& Olivares, Alberto& Staffetti, Ernesto. Multiaircraft Optimal 4D Trajectory Planning Using Logical Constraints. International Journal of Aerospace Engineering. 2019. Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1156651
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1156651