Robust Observer Based on Fixed-Time Sliding Mode Control of Position/Velocity for a T-S Fuzzy MEMS Gyroscope

This study focused on a control system of the nonlinear micro-electro-mechanical systems (MEMS) gyroscope. First, sector nonlinearity was used to model MEMS gyroscope in Takagi-Sugeno (T-S) fuzzy system. Second, state observer designed based linear matrix inequality (LMI) identify optimal eigenvalues tracking error function. Then, full-state fixed-time sliding mode (FTSMC) constructed Third, case harmonic disturbance address unknown A (DOB) simply signals outputs and outputs. The output precisely converged predefined trajectories very short time, with no overshoots small steady-state errors. Moreover, estimated states were tracked by These important factors confirm that T-S effective easy achieve. MATLAB simulation archive verification. maximum ? 4 ? [-4.657:5.565]×10 -11 , settling time T xmlns:xlink="http://www.w3.org/1999/xlink">e3 ~ 0.144 for ?- axis ?- axis, respectively.