State Estimation for Robotics, 2017. ,
Associating uncertainty with threedimensional poses for use in estimation problems, IEEE Transactions on Robotics, vol.30, issue.3, pp.679-693, 2014. ,
Intrinsic filtering on Lie groups with applications to attitude estimation, IEEE Transactions on Automatic Control, vol.60, issue.2, pp.436-449, 2015. ,
Intrinsic filtering on SO (3) with discretetime observations. Decision and Control (CDC), IEEE 52nd Annual Conference on, pp.3255-3260, 2013. ,
, An EKF-SLAM algorithm with consistency properties arXiv preprint, 2015.
The invariant extended Kalman filter as a stable observer, IEEE Transactions on Automatic Control, vol.62, issue.4, pp.1797-1812, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01692380
Invariant Kalman Filtering, Robotics, and Autonomous Systems, vol.1, pp.237-257, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01982804
Second Order Minimum Energy Filtering on SE(3) with Nonlinear Measurement Equations, International Conference on Scale Space and Variational Methods in Computer Vision, pp.397-409, 2015. ,
Non-linear symmetrypreserving observers on Lie groups, IEEE Transactions on Automatic Control, vol.54, issue.7, pp.1709-1713, 2009. ,
DOI : 10.1109/tac.2009.2020646
URL : http://arxiv.org/pdf/0707.2286
Left-invariant extended Kalman filter and attitude estimation, IEEE conf, pp.1027-1032, 2007. ,
DOI : 10.1109/cdc.2007.4434662
Discrete extended Kalman filter on Lie groups, EUSIPCO, 2013 Proceedings of the 21st European, pp.1-5, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00903252
Lie algebras and Lie groups in control theory, Geometric methods in system theory, pp.43-82, 1973. ,
Stochastic Models, Information Theory, and Lie Groups, Analytic Methods and Modern Applications, vol.2, 2011. ,
Survey of nonlinear attitude estimation methods, Journal of guidance, control, and dynamics, vol.30, issue.1, pp.12-28, 2007. ,
An estimation problem in compact Lie groups, Systems & Control Letters, vol.10, issue.4, pp.257-263, 1988. ,
Some filtering results in Riemann manifolds, Information and Control, vol.35, issue.3, pp.182-195, 1977. ,
Geometric numerical integration: structure-preserving algorithms for ordinary differential equations, 2006. ,
Least squares tracking on the Euclidean group, IEEE Transactions on, vol.46, issue.7, pp.1127-1132, 2001. ,
, ContactAided Invariant Extended Kalman Filtering for Legged Robot State Estimation, 2018.
, S. Helgason Differential Geometry, Lie Groups and Symmetric Spaces Academic, 1978.
Stability analysis of velocityaided attitude observers for accelerated vehicles, Automatica, vol.63, pp.11-15, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01326788
Stochastic differential equations in a differentiable manifold, Nagoya Mathematical Journal, vol.1, pp.35-47, 1950. ,
Rigid body attitude estimation based on the Lagrange-dAlembert principle, Automatica, vol.50, issue.10, pp.2570-2577, 2014. ,
Gradient-Like Observers for Invariant Dynamics on a Lie group, IEEE Trans. on Automatic Control, vol.55, issue.2, pp.367-377, 2010. ,
Nonlinear attitude observers on so (3) for complementary and compatible measurements: A theoretical study, Proceedings of the 48th IEEE Conference on, pp.6407-6412, 2009. ,
Stochastic integrals, vol.353, 1969. ,
, High order Runge-Kutta methods on manifolds, vol.29, pp.115-127, 1999.
Nonlinear filtering in Riemannian manifolds, IMA journal of math. control and information, vol.2, issue.1, pp.25-36, 1985. ,
´ Etude mathématique du mouvement brownien de rotation, 1928. ,
Invariant trapezoidal Kalman filter for application to attitude estimation, In Journal of Guidance, Control, and Dynamics, vol.36, issue.3, pp.721-733, 2013. ,
Filtering on manifolds, Stochastic Modelling and Filtering, pp.147-160, 1987. ,
On filtering with observation in a manifold: Reduction to a classical filtering problem, SIAM Journal on Control and Optimization, vol.51, issue.1, pp.767-783, 2013. ,
DOI : 10.1137/120887187
The extended Kalman filter as a local asymptotic observer for nonlinear discrete-time systems, American Control Conference, pp.3365-3369, 1992. ,
DOI : 10.23919/acc.1992.4792775
Some estimation problems on Lie groups, Geometric Methods in System Theory, vol.3, pp.305-314, 1973. ,
DOI : 10.1007/978-94-010-2675-8_21
Stochastic processes in physics and chemistry, 1992. ,
Estimation for bilinear stochastic systems, Variable Structure Systems with Application to Economics and Biology, pp.116-137, 1975. ,
DOI : 10.1007/978-3-642-47457-6_7
URL : http://hdl.handle.net/2060/19740020921
Dynamical Systems Defined on Groups: Structural Properties and Estimation, 1973. ,
On brownian motion in a homogeneous riemannian space, Pacific Journal of Mathematics, vol.2, issue.2, pp.263-270, 1952. ,
DOI : 10.2140/pjm.1952.2.263
URL : http://msp.org/pjm/1952/2-2/pjm-v2-n2-p14-s.pdf
Minimum-energy filtering for attitude estimation, IEEE Transactions on Automatic Control, vol.58, issue.11, pp.2917-2921, 2013. ,
DOI : 10.1109/tac.2013.2259092
Gradient-based observer for simultaneous localization and mapping, IEEE Trans. on Automatic Control, 2018. ,
DOI : 10.1109/tac.2018.2829467