对光纤陀螺随机噪声的ARMA建模及卡尔曼滤波方法进行了研究。针对ARMA(Auto-Regressive and Moving Average自回归滑动平均)模型的有色噪声在状态方程中不能通过传统的状态扩充法进行白化的问题,提出了新的噪声白化方法:采用增广最小二...对光纤陀螺随机噪声的ARMA建模及卡尔曼滤波方法进行了研究。针对ARMA(Auto-Regressive and Moving Average自回归滑动平均)模型的有色噪声在状态方程中不能通过传统的状态扩充法进行白化的问题,提出了新的噪声白化方法:采用增广最小二乘法估计ARMA模型的参数,同时提取出ARMA模型中的驱动白噪声,从而可以把ARMA模型中的有色噪声项作为控制项放入系统的状态方程,通过Sage-Husa的次优无偏MAP(Maximum A Posteriori,极大后验)噪声统计估值器对系统噪声的统计特性进行估计,实现了系统噪声的白化。在此基础上应用自适应卡尔曼滤波,有效消除了误差,得到状态值的准确估计。实验结果表明,对于随机噪声的自相关和互相关特性均呈现拖尾性质的光纤陀螺,采用新方法比传统基于AR模型的Kalman滤波降噪方法滤除噪声的效果提高了10%以上。展开更多
Aiming at the problems of low measurement accuracy,uncertainty and nonlinearity of random noise of the micro electro mechanical system(MEMS)gyroscope,a gyroscope noise estimation and filtering method is proposed,which...Aiming at the problems of low measurement accuracy,uncertainty and nonlinearity of random noise of the micro electro mechanical system(MEMS)gyroscope,a gyroscope noise estimation and filtering method is proposed,which combines expectation maximum(EM)with maximum a posterior(MAP)to form an adpative unscented Kalman filter(UKF),called EMMAP-UKF.According to the MAP estimation principle,a suboptimal unbiased MAP noise statistical estimation model is constructed.Then,EM algorithm is introduced to transform the noise estimation problem into the mathematical expectation maximization problem,which can dynamically adjust the variance of the observed noise.Finally,the estimation and filtering of gyroscope random drift error can be realized.The performance of the gyro noise filtering method is evaluated by Allan variance,and the effectiveness of the method is verified by hardware-in-the-loop simulation.展开更多
A novel random walk coefficient(RWC) model of the interferometric fiber optic gyroscope(IFOG) to decompose fundamental noise sources, namely the shot noise, the excess noise, the thermal noise, and the detection circu...A novel random walk coefficient(RWC) model of the interferometric fiber optic gyroscope(IFOG) to decompose fundamental noise sources, namely the shot noise, the excess noise, the thermal noise, and the detection circuit noise, from the overall noise was developed. The coefficients of the model were extracted from the measured RWC instead of by calculating the accurate IFOG parameters, which is simpler and more accurate. The correctness and the accuracy of the model were verified by experiments. Using this model, the RWC of the experimental IFOG was predicted and the quantitative contributions of the noise sources were determined. According to the predicted results, the parameters of the IFOG were optimized. Finally, based on the model, a noise decomposition and parameter optimization method was proposed for high sensitivity IFOG design.展开更多
文摘对光纤陀螺随机噪声的ARMA建模及卡尔曼滤波方法进行了研究。针对ARMA(Auto-Regressive and Moving Average自回归滑动平均)模型的有色噪声在状态方程中不能通过传统的状态扩充法进行白化的问题,提出了新的噪声白化方法:采用增广最小二乘法估计ARMA模型的参数,同时提取出ARMA模型中的驱动白噪声,从而可以把ARMA模型中的有色噪声项作为控制项放入系统的状态方程,通过Sage-Husa的次优无偏MAP(Maximum A Posteriori,极大后验)噪声统计估值器对系统噪声的统计特性进行估计,实现了系统噪声的白化。在此基础上应用自适应卡尔曼滤波,有效消除了误差,得到状态值的准确估计。实验结果表明,对于随机噪声的自相关和互相关特性均呈现拖尾性质的光纤陀螺,采用新方法比传统基于AR模型的Kalman滤波降噪方法滤除噪声的效果提高了10%以上。
基金National Natural Science Foundation of China(No.61863024)Scientific Research Projects of Higher Institutions of Gansu Province(No.2018C-11)+1 种基金Natural Science Foundation of Gansu Province(No.18JR3RA107)Science and Technology Program of Gansu Province(No.18CX3ZA004)。
文摘Aiming at the problems of low measurement accuracy,uncertainty and nonlinearity of random noise of the micro electro mechanical system(MEMS)gyroscope,a gyroscope noise estimation and filtering method is proposed,which combines expectation maximum(EM)with maximum a posterior(MAP)to form an adpative unscented Kalman filter(UKF),called EMMAP-UKF.According to the MAP estimation principle,a suboptimal unbiased MAP noise statistical estimation model is constructed.Then,EM algorithm is introduced to transform the noise estimation problem into the mathematical expectation maximization problem,which can dynamically adjust the variance of the observed noise.Finally,the estimation and filtering of gyroscope random drift error can be realized.The performance of the gyro noise filtering method is evaluated by Allan variance,and the effectiveness of the method is verified by hardware-in-the-loop simulation.
基金supported by the National Natural Science Foundation of China(Grant No.61201314)
文摘A novel random walk coefficient(RWC) model of the interferometric fiber optic gyroscope(IFOG) to decompose fundamental noise sources, namely the shot noise, the excess noise, the thermal noise, and the detection circuit noise, from the overall noise was developed. The coefficients of the model were extracted from the measured RWC instead of by calculating the accurate IFOG parameters, which is simpler and more accurate. The correctness and the accuracy of the model were verified by experiments. Using this model, the RWC of the experimental IFOG was predicted and the quantitative contributions of the noise sources were determined. According to the predicted results, the parameters of the IFOG were optimized. Finally, based on the model, a noise decomposition and parameter optimization method was proposed for high sensitivity IFOG design.
