As all-electric aircraft has many advantages, aircraft nose wheel steering system would be developed to the all-electric direction. Aiming at the control demand of nose wheel steering system, based on the basic principles of nose wheel steering system and the design technique of mechanotronics, an all-electric aircraft nose wheel steering system composed of a nose wheel steering mechanism of two worm gear and a control servo system of fly-by-wire having both steering and anti-shimmy function is designed to meet the demand for operation control in nose wheel steering system. Besides, the fuzzy algorithm and BP neural network algorithm is applied to the control system to explore its algorithm. Then based on Matlab/Simulink and LMS/AMESim software, the united simulation model of the system with fuzzy PID controller is established to make the dynamic simulation analysis for the verification of its steering function, the research results indicate that the nose wheel steering system is reasonable and validated, can meet the requirements of the general project.