Gyro Fault Detection under Strong Vibrations via Polynomial Nonlinear Filter

In this paper, the fault detection problem of gyro is developed for the rotary steerable drilling tool system (RSDTS), which is attributed to a nonlinear fault detection problem under high-frequency noise. First of all, considering the nonlinear characteristics of the system, RSDTS is modeled as a polynomial nonlinear system. Then a novel fault detection filter is constructed, and its parameters could be calculated by solving the parameter-dependent linear matrix inequality through the sum-of-squares decomposition method. Subsequently, the high-frequency noise with large amplitude caused by strong vibrations in the sensor measurements is cleared by the low-pass filter, so that the fault is not overwhelmed. Finally, a simulation is implemented to validate the feasibility as well as effectiveness of the proposed detection filter.