Journal Article

·2025

A Robust Adaptive Nonlinear Controller for a MEMS Gyroscope with Position Dependent Error

Mehmet Emin Duran YTU , Eyüp Okumuş YTU , Fatih Adiguzel YTU

Abstract

A Micro-Electro-Mechanical System (MEMS) gyroscope is employed in many real-time applications. However, these systems are sensitive to measurement errors and exhibit high nonlinearity. This paper deals with the constant faults of the position-dependent measurements in MEMS gyroscopes. In the dynamic model of the MEMS gyroscope, it is assumed that there are position-dependent errors in the actuation and sensing axes. To overcome this problem, a robust adaptive backstepping controller with integral action is developed for the control of the MEMS gyroscope. The asymptotic stability of the closed-loop dynamics is proved in the sense of Lyapunov theory. The viability of the proposed control method is tested by numerical simulations to show the robustness against positiondependent errors. The simulation results are presented with a comparison to the classical backstepping controller, and with different initial conditions. The obtained results show that the proposed controller method is robust to the constant faults of the position-dependent measurements in MEMS gyroscopes.

Keywords

Control theory (sociology) Backstepping Robustness (evolution) Vibrating structure gyroscope Gyroscope Microelectromechanical systems Lyapunov function Nonlinear system

Subject Areas

Advanced MEMS and NEMS Technologies ·Electrical and Electronic Engineering ·Physical Sciences
Inertial Sensor and Navigation ·Aerospace Engineering ·Physical Sciences
Control and Stability of Dynamical Systems ·Control and Systems Engineering ·Physical Sciences