Print Email Facebook Twitter Optimization of Spacecraft Rendezvous and Docking using Interval Analysis Title Optimization of Spacecraft Rendezvous and Docking using Interval Analysis Author Van Kampen, E. Chu, Q.P. Mulder, J.A. Faculty Aerospace Engineering Department Control & Operations Date 2010-08-02 Abstract This paper applies interval optimization to the fixed-time multiple impulse rendezvous and docking problem. Current methods for solving this type of optimization problem include for example genetic algorithms and gradient based optimization. Unlike these methods, interval methods can guarantee that the globally best solution is found for a given parameterization of the input. The state transition matrix approach for the linearized CW-equations is used to avoid interval integration. Thruster pulse amplitudes are optimized by an interval branch and bound algorithm, which systematically eliminates parts of the control input space that do not satisfy the final time state constraints. Interval analysis is shown to be a useful tool in both sensitivity analysis and nonlinear optimization of the rendezvous and docking problem. To reference this document use: http://resolver.tudelft.nl/uuid:fcf4d3b2-9f3c-4fd1-8ec7-1c44d90a33e2 DOI https://doi.org/10.2514/6.2010-7596 Publisher American Institute of Aeronautics and Astronautics (AIAA) ISBN 978-1-60086-962-4 Source AIAA Guidance, Navigation, and Control Conference, Toronto, Canada, 2-5 August 2010; AIAA 2010-7596 Part of collection Institutional Repository Document type conference paper Rights © 2010 The Author(s) Files PDF vanKampen.pdf 450.27 KB Close viewer /islandora/object/uuid:fcf4d3b2-9f3c-4fd1-8ec7-1c44d90a33e2/datastream/OBJ/view