2012
DOI: 10.3390/s120708877
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Observability Analysis of a Matrix Kalman Filter-Based Navigation System Using Visual/Inertial/Magnetic Sensors

Abstract: A matrix Kalman filter (MKF) has been implemented for an integrated navigation system using visual/inertial/magnetic sensors. The MKF rearranges the original nonlinear process model in a pseudo-linear process model. We employ the observability rank criterion based on Lie derivatives to verify the conditions under which the nonlinear system is observable. It has been proved that such observability conditions are: (a) at least one degree of rotational freedom is excited, and (b) at least two linearly independent… Show more

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Cited by 16 publications
(11 citation statements)
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References 14 publications
(18 reference statements)
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“…It can reflect whether the states can be estimated. In this paper, the lie deviation method [32] is adopted for observability analysis. Two cases are considered: (1) no fault occurs; (2) the position supplied by LIDAR SLAM is faulty.…”
Section: Drag Model-lidar-imu Fusion Schemementioning
confidence: 99%
“…It can reflect whether the states can be estimated. In this paper, the lie deviation method [32] is adopted for observability analysis. Two cases are considered: (1) no fault occurs; (2) the position supplied by LIDAR SLAM is faulty.…”
Section: Drag Model-lidar-imu Fusion Schemementioning
confidence: 99%
“…Because of the aperture problem [ 19 ], only the measurement components which are orthogonal to the transferred line can be used for correction. In [ 3 , 17 ], the line-point is chosen as observation, which is defined as the closest point on the line segment to the image origin. Accordingly, the error function is defined as the differences between the measured and transferred line-points, which is similar to the error function of point features.…”
Section: Mathematical Formulationmentioning
confidence: 99%
“…However, inertial navigation systems (INS) are proved to drift over time due to error accumulation [ 1 ]. In the last decades, the topic of vision-aided inertial navigation has received considerable attention in the research community, thanks to some important advantages [ 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 ]. Firstly, the integrated system can operate in environments where GPS is unreliable or unavailable.…”
Section: Introductionmentioning
confidence: 99%
“…In [3] a matrix Kalman filter (MKF) using as inputs several on-board sensors has been implemented for an integrated indoor navigation system based on a 4 wheels robotic platform. The MKF rearranges the original nonlinear process model in a pseudo-linear process model.…”
Section: Papers In the Special Issuementioning
confidence: 99%