Modeling and Simulation of Digital Closed-loop Fiber Optic Gyroscope

Computer modeling and simulation are important for the researches and applications of the Fiber Optic Gyroscope (FOG). In the paper, the dynamic model and stochastic model of digital closed-loop FOG are developed. With a number of reasonable approximations, the nonlinear dynamic model is simplified into a linear discrete dynamic model. The digital control algorithm in the closed-loop control is analyzed, and the dynamic simulation is conducted. In the stochastic modeling, different stochastic processes are built to simulate the various types of random gyro noise. A novel method is investigated to simulate 1/f noise with the orthogonal wavelet transform. The stochastic simulations are conducted and the effectiveness of the stochastic model is validated with Allan variance analysis.