Fixed-Time Sliding Mode Control for Linear Motor Traction Systems with Prescribed Performance

Abstract

In this research, we propose a fixed-time sliding mode controller using a prescribed performance control approach to address the speed tracking problem in linear motor traction systems, which are powered by high-power permanent magnet linear synchronous motors (PMLSMs). Initially, to tackle the issue of the convergence time and dynamic response associated with traditional finite-time sliding mode controllers, we introduce a fixed-time sliding mode controller. This controller guarantees that the system state converges to the origin within a specified upper time limit. Subsequently, to enhance the dynamic response of the PMLSM and minimize speed errors, we integrate the prescribed performance control strategy with a fixed-time sliding mode controller. This effectively limits the motor’s speed error within the predefined function boundaries, reduces system overshoo, and mitigates system jitter to a certain degree. Finally, simulation results are presented to validate that the proposed control strategy significantly enhances precision of speed tracking in PMLSMs.

Fixed-Time Adaptive Event-Triggered Guaranteed Performance Tracking Control of Nonholonomic Mobile Robots under Asymmetric State Constraints

“…Nevertheless, the convergence time of finite-time or Lyapunov stabilization control framework would be impacted by the initial conditions of the system, meaning the convergence time of the system is usually unpredictable when the initial conditions change [22]. To guarantee the convergence time of the system, fixed-time control methods have been proposed and extensively reported [23][24][25][26][27]. In Ref.…”