数字闭环光纤陀螺建模与仿真研究

建立了数字闭环光纤陀螺的动态模型和随机模型。通过合理的近似,非线性动态模型简化为线性离散模型。设计了闭环数字控制算法,对光纤陀螺的动态响应进行了仿真。在随机建模中,运用不同的随机过程来模拟各种随机噪声,采用正交小波变换的方法来模拟1/f噪声,用白噪声一次离散积分的方法来模拟速率随机游走噪声,用一阶马尔可夫过程或指数相关随机序列来模拟指数相关噪声。进行了随机仿真,并用功率谱密度和Allan方差分析的方法对随机模型和仿真结果的有效性进行了验证。

Research on Modeling and Simulation of Digital Closed-loop FOG

The dynamic model and stochastic model of digital closed-loop FOG were developed.The nonlinear dynamic model was simplified into a linear discrete model with a number of reasonable approximations.The digital control algorithm in the closed-loop control was designed,and the dynamic simulation was conducted.In the stochastic modeling,various stochastic processes were built to simulate various types of random noise exiting in the FOG.A novel method was investigated to simulate 1/f noise with the orthogonal wavelet transform.Angular random walk noise was simulated with one-order discrete integrating of white noise,and the exponentially correlated noise was simulated with one-order Markov Process or exponentially correlated stochastic sequence.The stochastic simulations were conducted.The effectiveness of the stochastic modeling and simulation was validated with power spectrum density and Allan variance analysis.