A novel fixed‐time fractional order nonsingular terminal sliding mode control

Abstract

In order to reduce the convergence time of permanent magnet linear synchronous motor (PMLSM) and improve the robustness of system, a fixed‐time fractional order nonsingular terminal sliding mode control (FTFONTSMC) strategy is designed to realize the rapidity and accuracy of PMLSM position tracking response. Firstly, an improved fixed‐time terminal sliding mode (FTTSM) reaching law is proposed to reduce the time of convergence. Secondly, due to the uncertainty of the disturbance in PMLSM system, an exponential convergent disturbance observer (DO) is designed to observe the disturbance. Further, finite time stability of the control system is proved by Lyapunov stability theory. Finally, the above control algorithm is applied to PMLSM, and the proposed control method's effectiveness and superiority are validated by comparing with existing control methods.

Disturbance‐observer‐based speed control for SPMSM drives using modified super‐twisting algorithm and extended state observer

“…There are several disturbance observers that can be used to construct high-performance composite controllers [19][20][21][22][23][24][25][26]. Among them, the extended state observer (ESO) has attracted much attention [26][27][28][29][30][31][32][33][34][35][36][37][38][39].…”