Abstract:For the multiple aircraft strategic trajectory planning under the conditions of great traffic flow, high density and small separation, the single-segment and multi-segment traffic flow control models are proposed by applying the air traffic control separation constraints under the framework of max-plus theory. Regarding the single aircraft as a batch, the relationship among input variable, state variable and output variable is established with buffer time parameter based on the air route conflict point competition mechanism as well as the space layout structure . From the spatial logic structure of various sub-models, the airspace multi-aircraft max-algebra coupled model and the robust optimization model are proposed. Moreover, the trajectory robust optimization model is formulated based on the proposed multiple optimization objective functions by adjusting the time of aircraft arrival and departure. Finally, the simulation shows the feasibility of the robust optimization model.