This paper takes the high-speed permanent magnet synchronous motor(HSPMSM) control system for electric environment control as the research object. Considering that researches on sensorless control of HSPMSM mainly focuses on algorithm realization and rotor estimation error elimination,we proposes a global stability analysis and parameter design method based on small-signal analysis for sensorless control in full-speed. This method designs the parameters of the position estimation loop based on extended back electromotive force (EMF) method,and studies the influence of the parameters of position estimation loop and speed loop on system stability. Then we uses the root locus to design the upper frequency of I/f control and the lower frequency of extended back EMF method to determine the stable domain of switching. Also,the sensitivity of motor parameters under high temperature are analyzed. Finally,full-speed experiment is carried out on the 45 kW,40 000 r/min surface mounted HSPMSM for electric environment control. The result shows that the designed loop parameters and switching speed achieve better dynamic and steady-state performance,and the sensitivity of parameter is consistent with the theoretical analysis. It provides a feasible idea for global parameter design and sensitivity analysis of HSPMSM in the full-speed. © 2023 Nanjing University of Aeronautics an Astronautics. All rights reserved.