Abstract: The significant role of contemporary control algorithm in the position control of a permanent magnet linear motor (PMLM) system is highlighted by the rigorous standards for accuracy in many modern industrial and robotics applications. A robust predefined time convergent sliding mode controller (PreDSMC) is designed for the high precision position tracking of a permanent magnet linear motor (PMLM) system with external disturbance, and its convergence time is independent of the system's initial value and model parameters. We have verified theoretically that the performance function conditions are satisfied, the motor speed is steady and constrained, and the motor position tracking error converges to zero within the prescribed time. First, we have designed a sliding mode (SM) surface with predetermined time convergence, which mathematically demonstrates that the tracking error converges to zero within the predefined time and shows that the position tracking accuracy is higher. Secondly, we have designed an independent of initial state PreDSMC law based on the predefined time convergence Lyapunov stability criterion. Finally, to prove the accuracy and higher precision of the proposed PreDSMC, comparative numerical simulations are performed for PMLM with compound disturbances. Simulation findings show that the suggested robust predefined control method considerably reduces the impacts of friction and external disturbances, consequently it may increase the control performance when compared to the typical Proportional Integral Derivative (PID) controller, Nonsingular fast terminal SMC, and linear SMC.

引用格式：

Riaz, S.; Yin, C.-W.; Qi, R.;Li, B.; Ali, S.; Shehzad, K. Design ofPredefined Time Convergent Sliding

Mode Control for a Nonlinear PMLMPosition System. Electronics 2023, 12,813. https://doi.org/10.3390/electronics12040813