High‐gain observer‐based adaptive fuzzy finite‐time prescribed performance tracking control for linear stepping motor with event‐triggered strategy

Abstract This paper considers the tracking problem of linear stepping motor system with unmeasurable states, and a finite‐time prescribed performance controller is designed with dynamic surface control scheme and event‐triggered strategy. In the adaptive backstepping recursive design, fuzzy logic system is used to approximate the nonlinear function, and a high‐gain observer is introduced to estimate the unmeasured states. A finite‐time performance function is developed to improve the transient and transient performance of the system, and a relative threshold event‐triggered strategy is proposed to reduce the communication burden. In addition, the inherent complexity explosion problem of the backstepping process is solved by the dynamic surface control method. Finally, the simulation results prove the effectiveness of the scheme.