This paper presents a novel adaptive sliding mode control with a sliding mode observer for a MEMS gyroscope. The proposed adaptive sliding mode controller with a sliding mode observer which reconstructs the unmeasured states can estimate the angular velocity and the linear damping and stiffness coefficients of the gyroscope despite parameter variations and external disturbance. An adaptive sliding mode controller with a proportional and integral sliding surface is derived and the stability condition of the closed-loop system is established. The numerical simulation for the MEMS gyroscope model is performed to verify the effectiveness of the proposed adaptive sliding mode control with sliding mode observer.

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