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A second-order optimization algorithm using quadric control updates for multistage optimal control problems
Article first published online: 21 APR 2009
Copyright © 2009 John Wiley & Sons, Ltd.
Optimal Control Applications and Methods
Volume 30, Issue 6, pages 525–536, November/December 2009
How to Cite
Patel, P. and Scheeres, D. J. (2009), A second-order optimization algorithm using quadric control updates for multistage optimal control problems. Optim. Control Appl. Meth., 30: 525–536. doi: 10.1002/oca.876
- Issue published online: 23 NOV 2009
- Article first published online: 21 APR 2009
- Manuscript Accepted: 27 OCT 2008
- Manuscript Revised: 22 OCT 2008
- Manuscript Received: 27 FEB 2008
- NASA GSRP. Grant Number: NNG 05-GL89H
- second order;
- quadric control update;
- optimal control
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.