A second‐order optimization algorithm using quadric control updates for multistage optimal control problems | Zendy

Patel Prashant | Zendy; Scheeres Daniel J. | Zendy

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A second‐order optimization algorithm using quadric control updates for multistage optimal control problems

Author(s) -

Patel Prashant,

Scheeres Daniel J.

Publication year - 2009

Publication title -

optimal control applications and methods

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.458

H-Index - 44

eISSN - 1099-1514

pISSN - 0143-2087

DOI - 10.1002/oca.876

Subject(s) - quadric , mathematical optimization , algorithm , computer science , trajectory , linear programming , nonlinear system , quadratic programming , nonlinear programming , criss cross algorithm , order (exchange) , optimal control , optimization problem , sequential quadratic programming , trajectory optimization , mathematics , linear fractional programming , physics , finance , quantum mechanics , astronomy , pure mathematics , economics

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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