The authors consider an automation problem in air-traffic management, in which small speed variations, unnoticed by the air-traffic controllers emulate a 'lucky traffic'. They formulate this control problem as a hybrid dynamical game in which the control has to minimize a cost representing the risk perceived by air-traffic controllers against uncertainty on the aircraft dynamics. They prove that this game can be solved using a reachability computation for an auxiliary hybrid system. They introduce a cost function which describes the risk perceived by ATCo in the following sense: for aircraft at positions (x1, x2), the higher the perceived risk of collision in the next future, the higher VATCo(x1, x2). Then the control objective is to minimize VATCo(x1(t), x2(t)) against all possible perturbations. The computation of VATCo is ongoing work which is out of the scope of this paper. The authors provide an example of such a function for straight crossing. They illustrate their approach on a very simple traffic situation. If more than two aircraft are involved, the computation of the optimal control strategy has to be performed by the central subliminal control unit for all aircraft simultaneously. The formalism can cope with this as long as uncertainty is additive. However, the dimension of the state space will then increase drastically. Therefore, the development of algorithmic solutions to reduce the computation load is crucial for the application of the presented approach.


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    Title :

    A hybrid model for subliminal air traffic control


    Additional title:

    Ein Hybridmodell für die subliminale Luftverkehrslenkung


    Contributors:
    Cruck, Eva (author) / Lygeros, John (author)


    Publication date :

    2007


    Size :

    4 Seiten, 5 Quellen





    Type of media :

    Conference paper


    Type of material :

    Print


    Language :

    English




    A Mathematical Framework for Subliminal Air Traffic Control

    Cruck, Eva / Lygeros, John | AIAA | 2007



    A Mathematical Framework for Subliminal Air Traffic Control AIAA Paper

    Cruck, E. / Lygeros, J. | British Library Conference Proceedings | 2007


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