43 citations · 63 across the 21 of their papers we have counts for
8 papers · 1 filter
Vision-Aided Relative State Estimation for Approach and Landing on a Moving Platform with Inertial Measurements
Tarek Bouazza, Alessandro Melis, Soulaimane Berkane +2
This paper tackles the problem of estimating the relative position, orientation, and velocity between a UAV and a planar platform undergoing arbitrary 3D motion during approach and…
Equivariant Tracking Control for Fully Actuated Mechanical Systems on Matrix Lie Groups
Matthew Hampsey, Pieter van Goor, Ravi Banavar +1
Mechanical control systems such as aerial, marine, space, and terrestrial robots often naturally admit a state-space that has the structure of a Lie group. The kinetic energy of su…
Galilean Symmetry in Robotics
Robert Mahony, Jonathan Kelly, Stephan Weiss
Galilean symmetry is the natural symmetry of inertial motion that underpins Newtonian physics. Although rigid-body symmetry is one of the most established and fundamental tools in…
The Difference between the Left and Right Invariant Extended Kalman Filter
Yixiao Ge, Giulio Delama, Martin Scheiber +4
The extended Kalman filter (EKF) has been the industry standard for state estimation problems over the past sixty years. The Invariant Extended Kalman Filter (IEKF) is a recent dev…
Maximum-likelihood reprojections for reliable Koopman predictors of parametric nonlinear dynamical systems
Pieter van Goor, Robert Mahony, Manuel Schaller +1
Koopman-based methods leverage a nonlinear lifting to enable linear regression techniques. Consequently, system analysis, learning, and prediction are considered through the lens o…
The Geometry of Extended Kalman Filters on Manifolds with Affine Connection
Yixiao Ge, Pieter van Goor, Robert Mahony
The extended Kalman filter (EKF) has been the industry standard for state estimation problems over the past sixty years. The classical formulation of the EKF is posed for nonlinear…
Synchronous Models and Fundamental Systems in Observer Design
Pieter van Goor, Robert Mahony
This paper introduces the concept of a synchronous model as an extension of the internal model concept used in observer design for dynamical systems. A system is said to contain a…
Equivariant Filter Design for Range-only SLAM
Yixiao Ge, Arthur Pearce, Pieter van Goor +1
Range-only Simultaneous Localisation and Mapping (RO-SLAM) is of interest due to its practical applications in ultra-wideband (UWB) and Bluetooth Low Energy (BLE) localisation in t…