Abstract
This paper proposes a states feedback control method for Z-axis MEMS gyroscopes using fractional calculus and adaptive dynamic sliding mode control method. A new sliding mode control method is proposed to achieve trajectory tracking by adding a fractional order term in the conventional sliding manifold. The new proposed sliding surface contains integer order terms as well as fractional order terms and thus can provide an extra degree of freedom. Besides, in the presence of unknown system parameters, some adaptive laws containing the new designed sliding manifold are proposed to online tune controller parameters. All adaptive laws are derived in the stability framework and the stability of the control system is also guaranteed according to the Lyapunov stability theory and. Simulations results on a Z-axis vibrating gyroscope are provided to illustrate the effectiveness of the control method.
Highlights
MEMS gyroscopes are commonly used sensors for measuring angular velocity which are widely used in many occasions such as cell phone, navigation, quadcopter and so on
This paper proposed a dynamic sliding mode control method using fractional calculus and simulation is conducted on a Z-axis gyroscope to validate the effectiveness of the control scheme
This paper proposes an adaptive fractional order dynamic sliding mode controller for MEMS gyroscopes
Summary
KFKT2017A01, in part by the Nantong University-Nantong Joint Research Center for Intelligent Information Technology under Grant. KFKT2017A01, in part by the Natural Science Key Research Program of Jiangsu Colleges under Grant 17KJA470006, and in part by the National Natural Science Foundation of China under Grant 61673226 and Grant 51877112
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