Air conflict resolution algorithm based on optimal control

In order to address the issue of conflict resolution between aircrafts, an improved algorithm based on optimal control theory is presented by which collision avoidance with other aircraft could be achieved with a minimum change on the original route. At first, an optimal escape maneuver is formulated to be a variable terminal-time optimal control problem with a compound performance index. Secondly the model of conflict resolution is set up, which is combined with the dynamics model of an aircraft. Finally, according to minimum principle, the optimal control problem is solved and consequently an optimal route is obtained. Simulation results show that for a collision danger in air with different flight heading or altitude, the algorithm could give an optimal route for conflict resolution.