Research on Adaptive Fuzzy Fractional-Order Backstepping Control of Magnetic Levitation Linear Synchronous Motors

For the magnetic levitation platform linear synchronous motor suspension system, an adaptive fuzzy fractional-order backstepping control method is designed to enhance system performance. Based on an analysis of the operational mechanism of the magnetic levitation linear synchronous motor (MLLSM) suspension system, its mathematical model and state-space equations are derived. In order to cope with the pronounced nonlinearity exhibited by the MLLSM suspension system, nonlinear coordinate mapping is employed to perform input–output feedback linearization. In order to improve the convergence speed and control accuracy of the system, fractional-order theory is applied to design a fractional-order virtual stability function. This paper designs a fractional-order backstepping controller, and a fuzzy system is employed to approximate the uncertain unknown functions in the MLLSM levitation system. A Lyapunov function is constructed to prove system stability. Experimental results indicate that the adaptive fuzzy fractional-order backstepping control improves the dynamic response of the levitation system and effectively attenuates uncertain disturbances.