2020
DOI: 10.1088/1361-6501/ab8d59
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Robust partly strong tracking consider SDRE filter for direct INS/GNSS integration with biases

Abstract: In order to counteract the adverse effects of biases in direct inertial navigation system/global navigation satellite system integration, a novel robust partly strong tracking consider state-dependent Riccati equation filter (PSTCSDREF) algorithm is proposed. A nonlinear ‘consider’ approach is utilized to incorporate bias statistics into a state estimation error covariance of the state-dependent Riccati equation filter (SDREF), and a new consider SDREF (CSDREF) is proposed. Next, the prediction covariance of t… Show more

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Cited by 5 publications
(3 citation statements)
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References 21 publications
(25 reference statements)
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“…Since the dynamics of these two variables are not linear, nonlinear filters are preferable. SDRE filter high degree of freedom provides singularity avoidance making it a proper choice employed in various applications as the optimal solution for nonlinear estimation and control problems [36,37,38]. This filter incorporates the nonlinearity into the estimation equations based on a parameterization which compared to the EKF is counted as a significant advantage since the EKF linearizes the nonlinearity [39].…”
Section: Related Work and Motivationmentioning
confidence: 99%
“…Since the dynamics of these two variables are not linear, nonlinear filters are preferable. SDRE filter high degree of freedom provides singularity avoidance making it a proper choice employed in various applications as the optimal solution for nonlinear estimation and control problems [36,37,38]. This filter incorporates the nonlinearity into the estimation equations based on a parameterization which compared to the EKF is counted as a significant advantage since the EKF linearizes the nonlinearity [39].…”
Section: Related Work and Motivationmentioning
confidence: 99%
“…However, inaccurate statistics of the measurement information, such as means and covariances, and improper information fusion methods can lead to unpredictable or undesired navigation errors. Therefore, it is necessary to consider the most probable biases, such as drifts of the inertial measurement unit (IMU), receiver clock biases, multi-path biases of the GNSS, temperature biases of barometers, and other biases of the navigation system [4][5][6], when designing information fusion methods for a multisensor integrated navigation system. Among the information fusion algorithms, Kalman filter and its variants are the most successful and widely used in the integrated navigation field [7].…”
Section: Introductionmentioning
confidence: 99%
“…In this case, the performance of the Kalman filter based on MMSE will be seriously degraded. Robust Kalman filters have been proposed to solve this problem [21][22][23], e.g., the Huberbased Kalman filter (HKF) [24] and the maximum correntropy criterion-based Kalman filters [25]. The interference of non-Gaussian noise is controlled by the HKF with the help of l 1 and l 2 norms.…”
Section: Introductionmentioning
confidence: 99%