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Showing 1 to 8 of 8 for “"Rotation Matrices"”.
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Semidenite representations with applications in estimation and inference
… family are linear optimization problems over rotation matrices, i.e. orthogonal matrices with unit determinant. We use our semidenite description of linear optimization problems over rotation matrices to express a joint spin-rate and attitude estimation problem for a spinning spacecraft …
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Coupled Dynamics in the Cislunar Region and Spacecraft Attitude Prediction in a Higher-Fidelity Model
… motion in the full ephemeris model using rotation matrices. Extensive numerical simulations are performed for planar and nonplanar trajectories, for spacecraft of varying sizes and symmetries, for multiple revolutions or single orbital periods, for non-periodic trajectories, and for …
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Relative orientation with limited control in close range Photogrammetry
… After a review of the concepts of rotation matrices, least squares adjustment and the generation of synthetic image co-ordinate observations, the study is executed in three major steps. A test field of high precision is established by means of space intersection and a camera …
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Contributions to automated realtime underwater navigation
… comparably to previously reported methods using rotation matrices, providing an alignment estimate that reduces the position residuals between dead reckoning and an external acoustic positioning system. The Geometric Algebra formulation also encourages a straightforward interpretation of the …
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Contributions to automated realtime underwater navigation
… comparably to previously reported methods using rotation matrices, providing an alignment estimate that reduces the position residuals between dead reckoning and an external acoustic positioning system. The Geometric Algebra formulation also encourages a straightforward interpretation of the …
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Algebraic approaches for coded caching and distributed computing
… real Vandermonde-structured recovery matrices; this condition number grows exponentially in the number of workers. In Chapter 5, we present a novel approach that leverages the properties of circulant permutation matrices and rotation matrices for coded matrix computation. In addition …
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Robust Spacecraft Autonomy for Deep Space Exploration in Special Euclidean Group SE(3)
… comprising of a semidriect product of SO3 (rotations) and $\mathbb{R}^3$ (translations). This formulation is especially advantageous during scenarios in which there is an unavoidable nonlinear coupling between translational and rotational motion. Examples of these scenarios are vehicles …
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Vertical Take-Off and Landing Control via Dual-Quaternions and Sliding Mode
… motion with dual-quaternions, translation and rotation can be represented in a single compact form that is free of singularities and provides the shortest path interpolation compared to any other formulation. These rigid bodies will be shown to follow a desired time-dependent orientation and …