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A second‐order optimization algorithm using quadric control updates for multistage optimal control problems
Authors:Prashant Patel  Daniel J Scheeres
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.
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.
Keywords:optimization  second order  quadric control update  optimal control
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