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Journal ArticleDOI

Unscented Filtering for Spacecraft Attitude Estimation

TLDR
In this paper, an unscented filter is used to estimate the attitude of a spacecraft in the presence of a gyro-based model for attitude propagation, and a multiplicative quaternion-error is derived from the local attitude error, which guarantees that quaternions normalization is maintained in the filter.
Abstract
A new spacecraft attitude estimation approach based on the unscented filter is derived. For nonlinear systems the unscented filter uses a carefully selected set of sample points to map the probability distribution more accurately than the linearization of the standard extended Kalman filter, leading to faster convergence from inaccurate initial conditions in attitude estimation problems. The filter formulation is based on standard attitude-vector measurements using a gyro-based model for attitude propagation. The global attitude parameterization is given by a quaternion, whereas a generalized three-dimensional attitude representation is used to define the local attitude error. A multiplicative quaternion-error approach is derived from the local attitude error, which guarantees that quaternion normalization is maintained in the filter. Simulation results indicate that the unscented filter is more robust than the extended Kalman filter under realistic initial attitude-error conditions.

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Citations
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Journal ArticleDOI

Survey of nonlinear attitude estimation methods

TL;DR: A survey of modern nonlinear filtering methods for attitude estimation based on the Gaussian assumption that the probability density function is adequately specified by its mean and covariance is provided.
Journal ArticleDOI

Digital control of dynamic systems

TL;DR: Digital Control Of Dynamic Systems This well-respected, market-leading text discusses the use of digital computers in the real-time control of dynamic systems with an emphasis on the design of digital controls that achieve good dynamic response and small errors while using signals that are sampled in time and quantized in amplitude.
Journal ArticleDOI

Nonlinear filters: beyond the Kalman filter

TL;DR: In this article, the authors compare several types of nonlinear filters, including: particle filters (PFs), unscented Kalman filters, extended Kalman filter, batch filters and exact recursive filter.
Journal ArticleDOI

Visual-Inertial Sensor Fusion: Localization, Mapping and Sensor-to-Sensor Self-calibration

TL;DR: This paper describes an algorithm, based on the unscented Kalman filter, for self-calibration of the transform between a camera and an inertial measurement unit (IMU), which demonstrates accurate estimation of both the calibration parameters and the local scene structure.
Journal ArticleDOI

Sigma-point Kalman filtering for integrated GPS and inertial navigation

TL;DR: Simulation and experimental results are shown to compare the performance of the sigma-point filter with a standard EKF approach, which shows faster convergence from inaccurate initial conditions in position/attitude estimation problems.
References
More filters
Book

Matrix computations

Gene H. Golub
Book

Applied Optimal Estimation

Arthur Gelb
TL;DR: This is the first book on the optimal estimation that places its major emphasis on practical applications, treating the subject more from an engineering than a mathematical orientation, and the theory and practice of optimal estimation is presented.
Proceedings ArticleDOI

New extension of the Kalman filter to nonlinear systems

TL;DR: It is argued that the ease of implementation and more accurate estimation features of the new filter recommend its use over the EKF in virtually all applications.
Book

Digital control of dynamic systems

TL;DR: This well-respected, market-leading text discusses the use of digital computers in the real-time control of dynamic systems and thoroughly integrates MATLAB statements and problems to offer readers a complete design picture.
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