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Optimal Transport Based Control of Granular Imaging System in Space

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dc.contributor.author Bandyopadhyay, Saptarshi
dc.contributor.author Quadrelli, Marco
dc.date.accessioned 2019-06-12T17:21:52Z
dc.date.available 2019-06-12T17:21:52Z
dc.date.issued 2017-06-19
dc.identifier.citation 9th International Workshop on Satellite Constellations and Formation Flying, Boulder, Colorado, June 19-21, 2017 en_US
dc.identifier.clearanceno CL#17-2475
dc.identifier.uri http://hdl.handle.net/2014/46248
dc.description.abstract "Orbiting Rainbows” is a paradigm for creating a space-based observatory (telescope) from confined and aligned granular media. The overall objective is to construct a very large and lightweight aperture in space using a cloud of micron-sized particles held in position and aligned by the application of external electromagnetic fields, thus alleviating the extreme expense of deploying and stabilizing large monolithic telescopes by reducing the mass of the primary aperture. Adaptive optics techniques for wavefront stabilization and computational imaging techniques are then used to remove the optical noise from the scattering reflections of the granular medium, and finally producing clean images within the diffraction limit. In this paper, we address one of the key challenges of this new paradigm, namely controlling the position and orientation of the granules or particles so that the cloud of particles achieves the desired shape of an ultra-lightweight telescope and points into the right orientation. A further complication arises due to the fact that the particles do not have any onboard actuators. A number of external electric-field-based actuators are used to control all the particles simultaneously. Moreover, the number of actuators are orders-of-magnitude smaller than the number of particles, making this system largely under-actuated. Since the cloud of particles in any plausible configuration can be modeled as a probability distribution over the workspace, we formulate this control challenge as an optimal transport problem and then show that our optimal transport based control law drives the cloud of particles from any initial distribution to the desired position distribution (optical surface) and angular distribution (polarization state). Simulation results demonstrate the effectiveness of our approach. en_US
dc.description.sponsorship NASA/JPL en_US
dc.language.iso en_US en_US
dc.publisher Pasadena, CA: Jet Propulsion Laboratory, National Aeronautics and Space Administration, 2017 en_US
dc.title Optimal Transport Based Control of Granular Imaging System in Space en_US
dc.type Preprint en_US


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