… ]-[16] in the area of linear filtering and estimation for state space … trices by means of Kalman
filtering and smoothing algorithms. … the Lagrangian equations of motion in the 2y coordinate …

… The state is represented by a rotation matrix Rt ∈ SO(3), which maps the coordinates of a
… Rigid body attitude estimation based on the lagrange–dalembert principle. Automatica, 50(…

… The accuracy of Kalman filtering (KF) relies on the quality of the observations as well as the
… of SRM, the cost function of the LSSVM is established as the following Lagrangian function: …

… point (ICP) registration algorithm and a noiseadaptive Kalman filter in a closed-loop configuration
to… that the coordinate frame {A} coincides with the coordinate frame of the onboard IMU. …

… an adaptive algorithm based on Kalman filtering, which is automatically adjusted … Coordinate
system Ox1y1z1 is connected with the physical pendulum and its generalized coordinates …

… The Stewart robot Lagrange dynamic model is given by [14] as the following. … coordinates
, is the angular velocity of the moving platform relative to the moving platform coordinates, is …

… Kalman filter formulation were found to be important in this study. First, it was discovered that
the standard Kalman filter … and the covariance function is a Lagrangian-conserved quantity. …

… A common approach to model manipulators is to use the Euler Lagrange equations of … mi,
first-order moment miri where ri are the coordinates of the center of mass, and inertia tensor Ii, …

… Kalman filters designed for many aerospace systems turn out to be unsatisfactory. The … gains
of this filter, in modal coordinates, are zero. Hence, if only the steady-state Kalman filter (SKF…

… In the aerospace industry the (multiplicative) extended Kalman filter (EKF) is the most … )
mapping the coordinates of a vector expressed in the vehicle frame to its coordinates in the static …