Combination of optimal control approaches for aircraft conflict avoidance via velocity regulation

DOI10.1002/oca.2344zbMath1390.49053OpenAlexW2742830899MaRDI QIDQ4563351

Loïc Cellier, Riadh Omheni, Frédéric Messine, Sonia Cafieri

Publication date: 31 May 2018

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://hal-enac.archives-ouvertes.fr/hal-01575705/file/airconflict_optimal-control_cafieri-cellier-messine-omheni.pdf

zbMATH Keywords

optimal controlair traffic managementPontryagin maximum principleconflict avoidancevelocity changedirect shooting method

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Interior-point methods (90C51) Large-scale systems (93A15) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (3)

Combination of optimal control approaches for aircraft conflict avoidance via velocity regulation ⋮ Mixed-integer nonlinear and continuous optimization formulations for aircraft conflict avoidance via heading and speed deviations ⋮ Dynamics of multilayer networks with amplification

Uses Software

• AMPL
• Ipopt

Cites Work

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• A Modeling Language for Mathematical Programming
• A mixed 0-1 nonlinear optimization model and algorithmic approach for the collision avoidance in ATM: velocity changes through a time horizon
• Mixed-integer nonlinear programming for aircraft conflict avoidance by sequentially applying velocity and heading angle changes
• Aircraft deconfliction with speed regulation: new models from mixed-integer optimization
• On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
• Solving air traffic conflict problems via local continuous optimization
• Minimum-time turn trajectories to fly-to points
• Combination of optimal control approaches for aircraft conflict avoidance via velocity regulation
• Benchmarking optimization software with performance profiles.

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