An adaptive fuzzy sliding-mode control (AFSMC) design method is proposed to control an induction servomotor system. The proposed AFSMC system is comprised of a fuzzy controller and a compensation controller. The fuzzy controller is used to mimic an ideal computational controller. The compensation controller is designed to compensate for the difference between the ideal computational controller and the fuzzy controller. All parameters in the proposed AFSMC system are tuned in the Lyapunov sense thus the stability of the system can be guaranteed. Simulation and experimental results verify that the proposed design method can achieve satisfactory control performance with regard to parameter variations and external disturbance.-An adaptive fuzzy sliding-mode control (AFSMC) design method is proposed to control an induction servomotor system. The proposed AFSMC system is comprised of a fuzzy controller and a compensation controller. The fuzzy controller is used to mimic an ideal computational controller. The compensation controller is designed to compensate for the difference between the ideal computational controller and the fuzzy controller. All parameters in the proposed AFSMC system are tuned in the Lyapunov sense　thus the stability of the system can be guaranteed. Simulation and experimental results verify that the proposed design method can achieve satisfactory control performance with regard to parameter variations and external disturbance.