The non-dominated sorting genetic algorithm Ⅱ (NSGAⅡ) was improved

and the traditional genetic operation was replaced by differential evolution (DE) algorithm with the non-dominated order as evolution direction. The convergence speed of the algorithm was faster. In order to solve the conservativeness of linear quadratic regulator (LQR) control and H2/H∞ control which had caused wide public concern recently in the field of aero-engine multi-variable control

the LQ/H∞ controller of aero-engine was designed by combining three performance indexes: time domain index

quadratic index and H∞ index and improving the weight matrixes Q

R of NSGAⅡoptimization. Compared with other controller design methods

the LQ/H∞ controller based on multi-objective optimization has clearer control objective

stronger robustness and less conservativeness. The simulation results show that

compared with the H2/H∞ controller based on linear matrix inequation (LMI)

the LQ/H∞ controller based on multi-objective optimization can increase performance four times in time-domain and anti-interference ability by 15%

and decrease the regulating time by 50%.