In recent years, increased attentions have been given to multiphase electrical machines because of their fault tolerance ability which is quite important for more-electric aircraft application. A dual three-phase PMSM for turboprop aircraft green taxiing green-taxiing/generator applications is developed in this paper. And a sensorless control is designed for this system to satisfy the space requirement of the manufacturer. Firstly, the mathematical model of the machine is illustrated. Then the conventional sliding-mode control based sensorless method is introduced. To eliminate the phase delay caused by the low-pass filter and improve the dynamic performance of the conventional method, the adaptive method is adopted. Afterwards, s-domain simulations in the Matlab/Simulink are conducted to compare the performance of these two approaches. The simulation results show that the adaptive method has better dynamic performance and lower steady state error than the conventional method. While, conventional method has inferior but acceptable performance.