An enhanced method in optimization rooted in direct collocation is formulated to
treat the finite set optimal control problem. This is motivated by applications in which
a hybrid dynamical system is subject to ordinary differential continuity constraints, but
control variables are contained within finite spaces. Resulting solutions display control discontinuities
as variables switch between one feasible value to another. Solutions derived are
characterized as optimal switching schedules between feasible control values. The methodology
allows control switches to be determined over a continuous spectrum, overcoming
many of the limitations associated with discretized solutions. Implementation details are
presented and several applications demonstrate the method’s utility and capability. Simple
applications highlight the effectiveness of the methodology, while complicated dynamic
systems showcase its relevance. A key example considers the challenges associated with
libration point formations. Extensions are proposed for broader classes of hybrid systems. / text
| Identifer | oai:union.ndltd.org:UTEXAS/oai:repositories.lib.utexas.edu:2152/6631 |
| Date | 23 October 2009 |
| Creators | Stanton, Stuart Andrew |
| Source Sets | University of Texas |
| Language | English |
| Detected Language | English |
| Format | electronic |
| Rights | Copyright is held by the author. Presentation of this material on the Libraries' web site by University Libraries, The University of Texas at Austin was made possible under a limited license grant from the author who has retained all copyrights in the works. |
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