Nonlinear complementary filters on the special linear group

DOI10.1080/00207179.2012.693951zbMath1253.93129OpenAlexW2049127421MaRDI QIDQ4897721

Robert Mahony, Tarek Hamel, Ezio Malis, Pascal Morin

Publication date: 27 December 2012

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2012.693951

zbMATH Keywords

nonlinear observercomplementary filterspecial linear group SL(3)

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Nonlinear systems in control theory (93C10) Estimation and detection in stochastic control theory (93E10)

Related Items (4)

A bundle framework for observer design on smooth manifolds with symmetry ⋮ Output regulation for systems on matrix Lie-groups ⋮ Feature‐based recursive observer design for homography estimation and its application to image stabilization ⋮ Nonlinear observer design on SL(3) for homography estimation by exploiting point and line correspondences with application to image stabilization

Cites Work

• Self-recalibration of a structured light system via plane-based homography
• A nonlinear position and attitude observer on SE(3) using landmark measurements
• Nonlinear Complementary Filters on the Special Orthogonal Group
• Symmetry-Preserving Observers
• Gradient-Like Observers for Invariant Dynamics on a Lie Group

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