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Resonance type gyro stability analysis method

An analytical method and a resonant technology, applied in the field of inertia, can solve the problems such as the inability to quantitatively determine the system response and the inability to find the Lyapunov function, and achieve the effect of reducing the optimization processing steps, simplifying the design steps, and simplifying the analysis.

Active Publication Date: 2017-08-18
CHINA UNIV OF MINING & TECH (BEIJING)
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Problems solved by technology

The third type of method is to apply the Lyapunov stability theory. The limitation of this method is that it is required to find an appropriate Lyapunov function
For regular systems it is possible to use the Hamilton function, but for other systems the Lyapunov function may not be found
Using this method, one can qualitatively determine the stability of the system over a large range, but cannot quantitatively determine the response of the system

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Embodiment Construction

[0028] The present invention will be further described below in conjunction with the accompanying drawings and specific embodiments.

[0029] Resonant gyroscope stability analysis method of the present invention comprises following three basic steps: (1) establishes the dynamic model of resonant gyroscope; (2) draws the stability parameter area distribution figure of resonant gyroscope; (3) determines the resonant type The value range of the stability parameter of the gyroscope. The coefficients of the resonant gyroscope dynamic model are fast-varying functions of time, and this kind of vibration caused by parameter changes is called the parameter excitation characteristic equation. The stability analysis method of the resonant gyroscope is based on its dynamic model, using the small parameter method to obtain the regional distribution map of the stability parameters of the gyroscope; constructing the Lyapunov function of the dynamic model of the resonant gyroscope, thereby ob...

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Abstract

The present invention discloses a resonance type gyro stability analysis method, which comprises the following three basic steps: (1) establishing the dynamic model of a resonance type gyro; (2) drawing the stability parameter region distribution map of the resonance type gyro; and (3) determining the stability parameter range of the resonance type gyro. According to the present invention, the coefficient of the resonance type gyro dynamic model is the rapid varying function of the time, and the vibration caused by the parameter change is named the parameter excitation characteristic equation; according to the stability analysis method of the resonance type gyro, the stability parameter region distribution map of the resonance type gyro is obtained by using the small parameter method based on the dynamic model, the two Lyapunov functions of the resonance type gyro dynamic model are established, and the stability of the gyro dynamic model is adopted as the conversion condition so as to achieve the parameter value range of the stable working of the gyro; and the method overcomes the influence of the parameter excitation on the stable working of the gyro, achieves the steady state output of the resonance type gyro, extends the application scope, and can further be used for the stability analysis of other resonance type sensors.

Description

technical field [0001] The invention belongs to the technical field of inertia, relates to a resonant gyroscope, in particular to a stability analysis method of a direct frequency output resonant gyroscope, which is suitable for medium and low-precision low-cost navigation systems and positioning and orientation systems. Background technique [0002] The resonant gyroscope uses the principle of resonance as the detection mechanism of the gyroscope. This gyroscope directly detects the change of the resonant frequency of the resonator to detect the angular velocity, and the frequency output characteristic is a parameter excitation dynamic characteristic, which is characterized as a variable coefficient parameter excitation linear differential equation. [0003] Based on the existing analysis, the stability interval of linear differential equations excited by variable coefficient parameters is a series of discrete intervals, and the distribution of intervals presents strong non...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01C25/00G06F17/13
CPCG01C25/00G06F17/13
Inventor 李艳瞿圆媛张运九
Owner CHINA UNIV OF MINING & TECH (BEIJING)
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