Dynamic sliding mode control of MEMS gyroscope

In this paper, dynamic sliding mode control (DSMC) method with a new switching function is proposed for the state tracking of MEMS gyroscope. The time derivative of the control input is treated as the new control variable for the augmented system which includes original system and integrator. The new switching function is designed by differentiating classical sliding surface which can transfer discontinuous terms to the first-order derivative of the control input, and effectively reduce the chattering. Dynamic sliding mode control and adaptive dynamic sliding mode control are derived and asymptotical stability of the designed systems can be guaranteed. The augmented dynamic sliding mode system is designed for achieving and improving the system stability, hence obtaining desired system behavior and performance. Simulation results verify the feasibility of the proposed DSMC method and show that the proposed controller can improve the dynamic performance of the MEMS gyroscope.