Dynamic analysis, circuit realization and accelerated adaptive backstepping control of the FO MEMS gyroscope

•The fractional-order (FO) mathematical model of MEMS gyroscope is constructed, and the dynamical analysis powerfully reveal the dynamic behaviors related with the stability, reliability and performance, especially chaotic oscillations. The equivalent analog circuits are constructed to further reveal chaotic oscillations and verify the feasibility of the built model.•The imprecise reference trajectories are reconstructed through the Fourier series and the interval type-2 fuzzy logic system (IT2FLS). Meanwhile, the speed function is constructed to improve the transient response performance of the FO MEMS gyroscope, and a tracking differentiator (TD) is designed to solve the problem of “explosion of complexity” originate from backstepping.•An accelerated adaptive backstepping control scheme integrating the speed function, IT2FLS and TD is proposed to achieve the purposes such as accelerated convergence, unknown function approximation and chaotic suppression.