Fixed-time Prescribed Performance Vibration Suppression Control of the Electromechanical Transmission System with Actuator Faults

This paper studied the fixed-time prescribed performance torsional vibration suppression control for the transmission system with actuator faults. Firstly, a novel electromechanical coupling torsional vibration model was established on the basis of the Lagrangian equation with the dissipation term and Kirchhoff's law, which considered the nonlinear damping, nonlinear stiffness and the mechanical-electrical coupling relationship. Subsequently, an asymmetric fixed-time predetermined performance function was introduced to ensure that the state errors can converge in a given region in the fixed time, and a torsional vibration suppression control strategy with actuator faults was designed. A stability analysis indicated that the designed torsional vibration system was stable, and the performances of the transformed states were preserved. Finally, the transmission system of the rolling mill was selected as a research object for simulation testing, and the results illustrate the validity of the proposed algorithm.