Correction: Renaudin, V. et al. Use of Earth’s Magnetic Field for Mitigating Gyroscope Errors Regardless of Magnetic Perturbation. Sensors 2011, 11, 11390-11414

Muhammad Haris Afzal; Valérie Renaudin; Gérard Lachapelle

doi:10.3390/s120608437

,

and

Department of Geomatics Engineering, Schulich School of Engineering, University of Calgary, 2500 University Drive NW, Calgary, AB T2N 1N4, Canada

^*

Author to whom correspondence should be addressed.

Sensors2012, 12(6), 8437;https://doi.org/10.3390/s120608437

This article belongs to the Section Physical Sensors

Version Notes

Order Reprints

Although the equations' derivation in our paper published in Sensors 2011 [1] is correct, a typo has been found in the summarizing Equations (48) and (49). The dot on the B in the skew matrix should be removed. Equations (48) and (49) should be corrected as:

δ {\dot{B}}_{Q S F_{k + 1}}^{b} = [\begin{matrix} 0_{3 \times 3} & - [B_{Q S F_{k + 1}}^{b} \times] \end{matrix}] [\begin{matrix} ɛ^{n} \\ δ b_{ω} \end{matrix}] + [\begin{matrix} 0_{1 \times 3} & 0_{1 \times 3} \\ 0_{1 \times 3} & [{\hat{ω}}_{B}^{b} \times] \end{matrix}] [\begin{matrix} 0_{3 \times 1} \\ η_{B} \end{matrix}]

(48)

\underset{δ z}{\underset{︸}{[\begin{matrix} δ B_{Q S F_{k + 1}}^{n} \\ δ {\dot{B}}_{Q S F_{k + 1}}^{b} \end{matrix}]}} = \underset{H_{QSF}}{\underset{︸}{[\begin{matrix} - [B_{Q S F_{k}}^{n} \times] & 0_{3 \times 3} \\ 0_{3 \times 3} & - [B_{Q S F_{k + 1}}^{b} \times] \end{matrix}]}} \underset{δ x}{\underset{︸}{[\begin{matrix} ɛ^{n} \\ δ b_{ω} \end{matrix}]}} + [\begin{matrix} - C_{b}^{n} \\ {\hat{ω}}_{B}^{b} \end{matrix}] η_{B}

(49)

Reference

Afzal, M.H.; Renaudin, V.; Lachapelle, G. Use of Earth's Magnetic Field for Mitigating Gyroscope Errors Regardless of Magnetic Perturbation. Sensors 2011, 11, 11390–11414. [Google Scholar]

© 2012 by the authors; licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution license (http://creativecommons.org/licenses/by/3.0/).

Correction: Renaudin, V. et al. Use of Earth’s Magnetic Field for Mitigating Gyroscope Errors Regardless of Magnetic Perturbation. Sensors 2011, 11, 11390-11414

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