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非线性滤波在SINS中的应用

Application of Nonlinear Filtering in SINS

  • 摘要: 针对载体的姿态和角速度估计问题,分别给出了基于卡尔曼滤波和粒子滤波的估计算法。对于欧拉角带来的奇异问题,采用四元数描述载体的姿态角。通过对mpu9250模块(陀螺仪、加速度计和磁力计)进行数据采集,并运用实验数据和仿真运算,验证了四元数卡尔曼滤波和粒子滤波算法的可行性。静态实验和动态仿真的计算结果表明,在使用微机械惯性测量器件测量载体姿态时,粒子滤波和卡尔曼滤波算法得到的误差均值相当,但粒子滤波的标准差相对较小。

     

    Abstract: Two algorithms are presented to solve the carrier attitude and rate estimation problem. One is based on Kalman filter and the other is based on Particle filter. In order to avoid the singular problem from Euler angle, we chose quaternion to describe the attitude angle. We carried out the data acquisition of gyroscope, accelerometer and magnetometer of mpu9250 module. By comparing the experimental data and simulation, we discussed the feasibility of quaternion Kalman filter and particle filter algorithm. The results of static and dynamic simulation show that the errors of the particle filter and the Kalman filter are similar when the carrier attitude is measured by the MEMS device, and the standard deviation of the particle filter is relatively small.

     

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