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UDC 513.17

CONTROLLABILITY «IN SMALL» IN PROBLEMS OF DYNAMICS OF A MICROMECHANICAL GYROSCOPE

Quang Minh Vu, post-graduate student RSREU; This email address is being protected from spambots. You need JavaScript enabled to view it.

The application of micromechanical gyroscopes in various technical devices is currently widespread. At the same time expanding the scope of micromechanical gyroscopes requires solving a complex of new, specific tasks, one of which is to control the gyro «in the small», in cases where the area of the control for technical reasons is limited. We consider the problem of control «in the small» for the controlled movement of sensing element of a micromechanical gyroscope. The aim of work is studying controllability «in the small» for linear systems describing the dynamics of oscillator micromechanical gyroscope with sensing resonator in the form of elastic plates with boundary condition cantilevered plates in the forced oscillation mode at a slow change in the natural frequency of oscillation, the angular velocity of the base, the amplitude and frequency of external influence. It is described how resonator performs a periodic motion under the action of electrostatic control system. Measurement of that motion allows determining the rotation of the gyro foundation in inertial space and assessing the accuracy of measurement of angular velocity of the base. Model experiments illustrate theoretical calculations.

Key words: micromechanical gyroscope, forced linear oscillation, differential equations, controllability «in the small».

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