Multiphase mixed-integer optimal control framework for aircraft conflict avoidance

2012 ◽  
Author(s):  
Manuel Soler ◽  
Maryam Kamgarpour ◽  
Claire Tomlin ◽  
Ernesto Staffetti
Keyword(s):  
Optimal Control ◽  
Mixed Integer ◽  
Conflict Avoidance ◽  
Control Framework ◽  
Aircraft Conflict Avoidance

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

2017 ◽  
Vol 39 (1) ◽  
pp. 181-203 ◽  
Author(s):  
Sonia Cafieri ◽  
Loïc Cellier ◽  
Frédéric Messine ◽  
Riadh Omheni
Keyword(s):  
Optimal Control ◽  
Conflict Avoidance ◽  
Aircraft Conflict Avoidance

scholarly journals Mixed integer nonlinear programming for three-dimensional aircraft conflict avoidance

2018 ◽  
Author(s):  
Junling Cai ◽  
Ning Zhang
Keyword(s):  
Traffic Management ◽  
Three Dimensional ◽  
Mixed Integer ◽  
Conflict Avoidance ◽  
Non Linear Programming ◽  
Proposed Model ◽  
Minlp Model ◽  
Heading Angle ◽  
Comparison Of The Results ◽  
Aircraft Conflict Avoidance

The problem of aircraft conflict avoidance for Air Traffic Management systems is studied. In the scenario, aircraft are considered to fly within a shared three-dimensional airspace and not allowed to approach close less than a minimum safe separation during their flights in order to avoid various conflicts. This paper proposes a formulation of the three-dimensional conflict avoidance problem as a Mixed Integer Non-Linear Programming (MINLP) model where aircraft are allowed to change both their heading angle and velocity simultaneously to keep the separation. The validity of the proposed model is demonstrated by a comparison of the results from the MINLP model and the previous conflict avoidance models with one maneuver of the heading angle or the velocity. The numerical studies show that the MINLP model improves the efficiency of computation and maintain the safety of flights even by using a standard global optimization solver

scholarly journals Mixed integer nonlinear programming for three-dimensional aircraft conflict avoidance

2018 ◽  
Author(s):  
Junling Cai ◽  
Ning Zhang
Keyword(s):  
Traffic Management ◽  
Three Dimensional ◽  
Mixed Integer ◽  
Conflict Avoidance ◽  
Non Linear Programming ◽  
Proposed Model ◽  
Minlp Model ◽  
Heading Angle ◽  
Comparison Of The Results ◽  
Aircraft Conflict Avoidance

The problem of aircraft conflict avoidance for Air Traffic Management systems is studied. In the scenario, aircraft are considered to fly within a shared three-dimensional airspace and not allowed to approach close less than a minimum safe separation during their flights in order to avoid various conflicts. This paper proposes a formulation of the three-dimensional conflict avoidance problem as a Mixed Integer Non-Linear Programming (MINLP) model where aircraft are allowed to change both their heading angle and velocity simultaneously to keep the separation. The validity of the proposed model is demonstrated by a comparison of the results from the MINLP model and the previous conflict avoidance models with one maneuver of the heading angle or the velocity. The numerical studies show that the MINLP model improves the efficiency of computation and maintain the safety of flights even by using a standard global optimization solver

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