Pilots and controllers are the key roles in the air traffic control system, and the evolution of the control system can be obtained by analyzing the relationship between them. The control-aircraft state interdependence network is constructed according to the aircraft flight conflict, the handover relationship between control sectors and the command and monitoring of aircraft. By counting the characteristics of nodes in the evolution process of the interdependence network, the changes of controller workload and aircraft flight conflict during the evolution process are analyzed. Then, the maximum Lyapunov exponent and phase diagram analysis are used to identify the chaos of the system. The results show that the characteristics of control sector and aircraft node can reflect the changing trend of control system. The evolution law of control system is chaotic and predictable.