METHOD OF MULTI-OBJECTIVE RESOLUTION OF TWO-AIRCRAFT CONFLICT IN THREE-DIMENSIONAL SPACE BASED ON DYNAMIC PROGRAMMING
Journal Title: Вісник Національного Авіаційного Університету - Year 2016, Vol 68, Issue 3
Abstract
Purpose: Current global trends of air tra ffic growth cause the increasing of number of aircraft conflicts. The actual problem is a development of new methods for conflict resolution that should provide the synthesis of conflict-free trajectories in three-dimensional space according to different flight efficiency criteria. Methods: The problem of multi-objective resolution of potential conflict between two aircraft in three- dimensional space is considered. The method of multi- objective resolution of conflict between two aircraft using heading, speed and altitude change maneuvers has been developed. Described method provides the synthesis of conflict-free flight trajectory according to criteria of flight regularity, flight economy and the complexity of maneuvering based on dynamic programming. The continuous-time and discrete-time equations of multi-objective dynamic programming for det ermining the set of Pareto-optimal estimations of conflict-flight trajectories are shown. The synthesis of Pareto-optimal trajectories is carried out using the forward procedure of discrete multi-objective dynamic pr ogramming. The simulation of flight trajectories is performed using the special model of controlled ai rcraft motion. The selection of optimal conflict-free trajectory from the set of Pareto-optimal trajectories is carried out using the convolution of optimality criteria. Within described method, the following proce dures have been defined: for prediction of separation minima violations; for aircraft states and controls discret ization; for interpolation of trajectories efficiency estimations according to defined optimality criteria. Results: The analysis of the proposed method is performed using computer simulation which results show that computed optimal conflict-free trajectory ensures the conflict avoidance and complies with defined optimality criteria. Discussion: The main advantages of the method are: heading, speed and altitude change maneuvers are used for conflict avoidance; the multi-objective optimization of conflict- free trajectories is applied; the using of dynamic programming enhances the computatio nal efficiency. Proposed method can be used for development of advanced conflict resolution tools for auto mated air traffic control systems.
Authors and Affiliations
Denys Vasyliev
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