Coriolis VIBRATORY GYROSCOPE is one of the most modern types of GYROSCOPEs that has been substituted for the common GYROSCOPEs with some differences in the test mass design and elastic suspension. According to the important features observed in the capacitive excitation of the actuators regarding the piezoelectric actuators, the operation principles and their formulations are completely changed, which require both two dimensional and finite element analysis to evaluate their optimal performance. Because the sensors are usually vibrating continuously while operation, in this paper a general framework is presented that fully describes the influence of the parameters related to different frequency operating modes. The main idea of the vibration GYROSCOPE is to replace the rotational rotor with a vibrational structure to utilize the effects of Coriolis force, which causes the secondary motion of a sensitive mass to match an angular velocity. In this paper, the sensitivity analysis and performance evaluation of a hemispherical vibrational GYROSCOPE are discussed. The frequency split phenomenon, the sensed voltage around the resonance frequency and Young's modulus variation are also investigated. Finally, the results of the simulated resonance frequencies are compared and validated with the mathematical and theoretical principles.

In this paper, a capacitive 3-DOF VIBRATORY rate micro GYROSCOPE with 2-DOF oscillator in the sense mode and 1-DOF in the drive mode was studied. A complete model of the micro GYROSCOPE, including mechanical and electrical parts was utilized. Based on the graphical and differential sensitivity analyses methods, variations of the system parameters were analyzed. In the first step, governing equations of the micro GYROSCOPE were derived. In order to simulate the sensor operation, working frequency has been determined and then, output voltage of the sensor versus changes in mechanical and electrical elements is studied. According to the sensitivity analysis results, secondary mass (m2), permittivity, length and width of the electrostatic capacitors, also DC and AC components of the actuation voltage have been clustered as the most sensitive parameters. Initial gap of the electrostatic capacitors and stiffness are fairly sensitive. Primary mass (m1), mass of the decoupling frame (mf), and young module are considered as non-sensitive parameters. Variations of the output voltage based on secondary mass (m2), stiffness and initial gap are completely non-linear and in some areas have severe slopes. Wise choices in selecting appropriate values for these parameters will lead to the better performance and more output voltage of the sensor

In this paper, an adaptive non-singular terminal sliding mode control based on disturbance observer is proposed for detection process and control of the micro-electromechanical VIBRATORY GYROSCOPE stimulation process. For this purpose, the dynamical equations of the vibrational GYROSCOPE system are initially expressed. In the following, the dynamical equations of this system are transmitted to the domain of state-space equations and then to the domain of tracking error. After that, the dynamic structure of the finite time disturbance observer is presented. Then, the design of the adaptive non-singular terminal sliding mode control based on finite time disturbance observer is expressed. The proposed strategy carries out the control of the stimulation process in the presence of structured and un-structured uncertainties existing in the dynamic equations of the microelectromechanical vibrational GYROSCOPE system, and performs the detection process through only an adaptive law. The mathematical proof shows that the closed-loop system with the proposed control, and in the presence of the existing uncertainties, has the finite time global asymptotic stability. The presence of a disturbance observer in the proposed control structure will weaken the role of un-structured uncertainties in the GYROSCOPE control process and reduce the control input amplitude. In order to evaluate the proposed control performance, simulations in 3 steps are implemented on the electromechanical vibrational GYROSCOPE system. Simulation results confirm the desired performance of the proposed control.

Almost all the MEMS GYROSCOPEs are VIBRATORY, and work based on Coriolis force. Analysis of MEMS VIBRATORY GYROSCOPEs with ring resonator is proposed in this paper. Different gyro resonators are developed in literature such as circle and 8 edge star. Analyzing these structures with ABAQUS, we introduce a novel 16 edge star resonator. Analytical and simulated frequency answers are compared. Through this ring equation instead of ring model with support and connections is validated. Also response of the system to harmonic input force with constant amplitude is determined.

In this paper a new approach for control of Drive mode of a MEMS VIBRATORY GYROSCOPE is developed, which enables estimation of the input rotation rate. Using this algorithm, besides of estimation of the input rotation rate, the spring and damping coefficients of the system will be obtained online. The methodology of the algorithm is very simple, and can be implemented successfully when the noise of the measurements are small. Results of the simulations show effectiveness of the method.

Coriolis VIBRATORY GYROSCOPEs are one of the most modern types of gyros that has taken the common GYROSCOPEs residence with some difference in the test mass design and elastic suspension test. According to the important features observed in the capacitive excitation of the actuators regarding the piezo-electric actuators, the operation principles and their formulation are completely changed, which require both two dimensional and finite element analysis to evaluate their optimal performance. Due to the sensors are usually vibrating continuously while operation, in this paper a general formulation is presented so that it can fully describe the influence of the parameters related to different frequency operating modes. The main idea of the vibration GYROSCOPE is to replace the rotational rotor with a vibrational structure and to use the effect of Coriolis force, which causes the secondary motion of a sensitive mass to match an angular velocity. In this paper, the analysis of the sensitivity of hemispherical vibrational GYROSCOPEs is discussed. The electrodes location variation, the sensed voltage around the resonance frequency and pick-off/forcer materials will also be investigated. Finally, the results of simulated resonance frequencies are compared and validated with the theoretical principles.

In the present article, the effects of high-power high-frequency acoustic noise on the dynamical response and fidelity of the sensing signal of the MEMS VIBRATORY GYROSCOPEs are investigated. At first, differential equations of motion the system with four degrees of freedom by considering the frame of the GYROSCOPE are derived and rewritten in state-space form. In these equations, the interaction of the acoustic noise with the GYROSCOPE is modeled as a mechanical force. Then, a Simulink model of the MEMS VIBRATORY GYROSCOPE dynamics is established and the effects of harmonic and random high-power high-frequency acoustic noises on the performance of GYROSCOPE are studied. Influences of different parameters such as harmonic noise frequency, sound pressure level and quality factor of the GYROSCOPE are explored. Numerical simulation results show the proximity of the noise frequency to the resonance of the GYROSCOPE as well as pressure level deteriorate the sensing signal while the quality factor of the system rejects noise effects.

In this paper, a simple but effective method for compensation of the quadrature error in MEMS VIBRATORY GYROSCOPE is provided. The proposed method does not require any change in the sensor structure, or additional circuit in the feedback path. The mathematical relations of the proposed feedback readout system were analyzed and the proposed solution assures good rejection capabilities. Based on the simulation results, the proposed method increases the dynamic range of the readout circuit by about 19dB for the quadrature error with 10 times higher amplitude than the Coriolis signal. Furthermore, the feedback path reduces the effect of the 1 degree LO mixer phase error in the output path by about 95%, which causes our system to be less sensitive to this error. In addition, the 2nd harmonic component at the output of the proposed feedback readout is much lower than that of the conventional readout. As a result, proposed feedback readout can relax the requirement of the output lowpass filter.

VIBRATORY GYROSCOPEs, having small sizes and low prices are commonly used in civil and defense industries. In these type and GYROSCOPEs, which are translation based, the resonators mass is vibrated due to harmonic forceo. The input angular velocity causes Coriolis effect and at the same time the vibration of the resonator. The amplitude of these effects are the same to the input angular velocity. In this article, the governing dynamical equations of VIBRATORY GYROSCOPEs are presented. Then, the response of the system to different inputs is analyzed.