In recent years, unmanned aircraft systems (UASs) have played an increasingly significant
role in the military and civil fields. The flight control system, as the “hub” of an unmanned …

This article deals with state estimation of nonlinear stochastic dynamic systems. The stress is
laid on general introduction of the selected estimation methods, description of their …

The cubature Kalman filter (CKF), which is based on the third degree spherical–radial
cubature rule, is numerically more stable than the unscented Kalman filter (UKF) but less …

This article presents an up-to-date tutorial review of nonlinear Bayesian estimation. State
estimation for nonlinear systems has been a challenge encountered in a wide range of …

In this paper, a novel nonlinear filter named Sparse-grid Quadrature Filter (SGQF) is
proposed. The filter utilizes weighted sparse-grid quadrature points to approximate the multi …

Uncertainty propagation of dynamical systems is a common need across many domains and
disciplines. In nonlinear settings, the extended Kalman filter is the de facto standard …

The most complete description of the state of a system at any time is given by knowledge of
the probability density function, which describes the locus of possible states conditioned on …

Polynomial chaos expansion and Gaussian mixture models are combined in a hybrid
fashion to propagate state uncertainty for spacecraft with initial Gaussian errors. Polynomial …

The technical note deals with state estimation of nonlinear stochastic dynamic systems.
Traditional filters providing local estimates of the state, such as the extended Kalman filter …

In this correspondence, the authors develop a novel method based on spherical radial
cubature and Gauss–Laguerre quadrature rule for non‐linear state estimation problems …