Print Email Facebook Twitter A Decomposition-Based Approach to Linear Time-Periodic Distributed Control of Satellite Formations Title A Decomposition-Based Approach to Linear Time-Periodic Distributed Control of Satellite Formations Author Massioni, P. Keviczky, T. Gill, E.K.A. Verhaegen, M. Faculty Mechanical, Maritime and Materials Engineering Department Delft Center for Systems and Control Date 2010-06-28 Abstract In this paper, we consider the problem of designing a distributed controller for a formation of spacecraft following a periodic orbit. Each satellite is controlled locally on the basis of information from only a subset of the others (the nearest ones). We describe the dynamics of each spacecraft by means of a linear time-periodic (LTP) approximation, and we cast the satellite formation into a state-space formulation that facilitates control synthesis. Our technique exploits a novel modal decomposition of the state-space model and uses linear matrix inequalities (LMIs) for suboptimal control design of distributed controllers with guaranteed performance for formations of any size. The application of the method is shown in two case studies. The first example is inspired by a mission in a low, sun-synchronous Earth orbit, namely the new Dutch-Chinese Formation for Atmospheric Science and Technology demonstration mission (FAST), which is now in the preliminary design phase. The second example deals with a formation of spacecraft in a halo orbit. Subject distributed controlformation flyinglinear matrix inequalities (LMIs)periodic motion To reference this document use: http://resolver.tudelft.nl/uuid:3d129ce9-40d5-4678-96b3-a9571d0db009 DOI https://doi.org/10.1109/TCST.2010.2051228 Publisher IEEE ISSN 1063-6536 Source IEEE Transactions on Control Systems Technology, 19 (3), 2011; post-print version Part of collection Institutional Repository Document type journal article Rights (c) 2010 The Author(s); IEEE Files PDF Massioni_2010.pdf 1 MB Close viewer /islandora/object/uuid:3d129ce9-40d5-4678-96b3-a9571d0db009/datastream/OBJ/view