In this paper, for the first time a general type-2 fuzzy system (Linguistic or Mamdani) is used to estimate the sliding surface of the sliding mode control (SMC) method for train speed and levitation control. One of the important issues in controlling the train is its speed control, taking into account the cost function and control signals. Because the train system in this article is nonlinear and contains uncertain terms, a nonlinear method should be used, so type-2 fuzzy systems perform well in this regard. Also, the controller is designed to withstand external disturbances and non-modeling dynamics. In addition to system stability, the vibration signal control also improves. A comparison between general type-2 fuzzy SMC and type-1 fuzzy SMC has been done in the simulation. The simulation results prove the efficiency and superiority of the proposed method.
