Design of Predefined Time Convergent Sliding Mode Control for a Nonlinear PMLM Position System

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