Abstract

In the case of nonlinear systems with random bias, the Optimal Two-Stage Unscented Kalman Filter (OTSUKF) can obtain the optimal estimation of system state and bias. But it requires random bias to be accurately modeled, while it is always very difficult in actual situation because the aircraft is a typical nonlinear system. In this paper, the faults of the Inertial Measurement Unit (IMU) are treated as a random bias, and the random walk model is used to describe the fault. The accuracy of the random walk model depends on the degree of matching between the covariance of the random walk model and the actual situation. For the IMU fault diagnosis method based on OTSUKF, the covariance of the random walk model is assigned with a constant matrix, and the value of the matrix is initialized empirically. It is very difficult to select a matching matrix in practical applications. For this problem, in this paper, the covariance matrix of the random walk model is adaptively adjusted online based on the innovation covariance matching technique, and an adaptive Two-Stage Unscented Kalman Filter (ATSUKF) is proposed to solve the fault diagnosis problem of the IMU. The simulation experiment compares the IMU fault diagnosis performance of OTSUKF and ATSUKF, and verifies the effectiveness of the proposed adaptive method.

Highlights

  • The accuracy of the random walk model depends on the degree of matching between the covariance of the random walk model and the actual situation

  • For the IMU fault diagnosis method based on OT⁃ SUKF, the covariance of the random walk model is assigned with a constant matrix, and the value of the matrix is initialized empirically

  • In this paper, the covariance matrix of the random walk model is adaptively adjusted online based on the innovation covariance matching technique, and an adaptive Two⁃Stage Unscented Kalman Filter ( ATSUKF) is proposed to solve the fault diagnosis problem of the IMU

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Summary

Introduction

投影;φ,θ,ψ 表示姿态角;axm,aym,azm 表示加速度计 的测量值;pm,qm,rm 表示飞行器绕机体坐标系三轴 旋转的角速率测量值;fax,fay,faz 表示加速度计发生 的故障幅值;fp,fq,fr 表示陀螺仪发生的故障幅值; ωax ,ωay ,ωaz 表示加速度计的测量噪声;ωp ,ωq ,ωr 表 示陀螺仪的测量噪声。 观测方程为 基于 OTSUKF 和 ATSUKF 的 IMU 故障诊断结 果分别如图 4 和图 5 所示。 图 4 初始化参数 2,基于 OTSUKF 的 IMU 故障诊断 图 5 初始化参数 2,基于 ATSUKF 的 IMU 故障诊断

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