Integration of Sparrow Search Optimization with Terminal Synergetic Control for Permanent Magnet Linear Synchronous Motors

This paper proposes a theoretical framework of the procedure to design an optimal robust terminal synergetic control (TSC) for the permanent magnet linear synchronous motors (PMLSMs). The general component and the mathematical equations of the PMLSM are first introduced. Based on the established model of the PMLSM, the control law of the TSC is developed. The tuning process of the TSC gains is enhanced by employing sparrow search optimization (SSO) based on the Integral Time of Absolute Errors (ITAE). The effectiveness of the proposed control algorithm has been verified by numerical simulations using MATLAB software for a step input. Additionally, the results have been compared with the classical synergetic control (CSC). The comparison shows that the TSC exhibits a good performance in normal operation and in a robustness test involving system parameters’ changes as compared to the CSC.