Robust Fixed‐Time Speed Control of Electric Vehicles With Mechanical Transmission and Permanent Magnet Synchronous Motor Under System Uncertainties and Perturbations

Electric vehicles (EVs) are increasingly significant in modern transportation. This work presents the design of a robust fixed‐time controller aimed at enhancing the efficiency of speed control in EVs, despite uncertainties and disturbances from the mechanical transmission system. The dynamic model of the transmission system includes a planetary gear and a differential gear, both of which are connected to a permanent magnet synchronous motor, a widely recognized popular power source for EVs. The model uncertainties and perturbations in the model are analyzed and integrated into the dynamic model to ensure high tracking accuracy. The fixed‐time control laws are initiated to regulate machine speeds. To achieve accuracy in closed‐loop stability, a disturbance observer is employed to estimate the total uncertainty and provide the lumped approximation as a control signal. The model integrating mechanical transmission with the electrical power source is formulated within a nonlinear control framework. The Lyapunov method is utilized to demonstrate the system’s stability. To ensure the design model fulfills the specified performance standards, numerical simulations are conducted to evaluate the transient responses of the dynamic system.