A second‐order optimization algorithm using quadric control updates for multistage optimal control problems |
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Authors: | Prashant Patel Daniel J Scheeres |
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Institution: | 1. Cost Analyses and Research Division, Studies and Analyses Center, Institute for Defense Analyses, VA, U.S.A.;2. Research Staff Member.;3. Department of Aerospace Engineering Sciences, University of Colorado at Boulder, CO, U.S.A.;4. A. Richard Seebass Chair Professor. |
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Abstract: | This paper describes a trajectory optimization algorithm that generates a quadric control update, which satisfies the constraints and necessary conditions to the second order. The algorithm is designed to solve multistage optimization problems. The algorithm is tested against a commercially available Sequential Quadratic Programming algorithm on problems with linear dynamics and linear and nonlinear constraints. This algorithm is a departure from previous methods because it explicitly satisfies the constraints to the second order. Copyright © 2009 John Wiley & Sons, Ltd. |
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Keywords: | optimization second order quadric control update optimal control |
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