The principle of Fibonacci search method for performance optimization of aeroengine was introduced. The total performance model of turbojet containing two ejectors with variable area and Mach number was established. This aeroengine was optimized in maximum thrust mode

minimum fuel consumption mode and minimum turbine inlet temperature mode in the area of optimization parameters by using Fibonacci search method. The process of applying Fibonacci search method into the optimization was illustrated. The optimization results on different height and Mach number were given. Results show that

the constrained boundaries satisfied by the optimized performance are closely related with the flight height and Mach number. Different flight heights and Mach numbers correspond to different optimal control strategies. In spite of the flight mission

the targeted steady state performance from the control based on this optimization method is the best. This optimization method is not only applicable to the turbojet engine

but also lays a certain foundation for optimal control of other types of aeroengine.