Costate computation by a Chebyshev pseudospectral method

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Authors
Gong, Qi
Ross, I. Michael
Fahroo, Fariba
Subjects
Advisors
Date of Issue
2010-03
Date
Publisher
AIAA
Language
Abstract
Among the various pseudospectral (PS) methods for optimal control [1], only the Legendre PS method has been mathematically proven to guarantee the feasibility, consistency, and convergence of the approximations [2–5]. As exemplified by its experimental and flight applications in national programs [6–10], it is not surprising that the Legendre PS method has become the method of choice [11–19] in both industry and academia for solving optimal control problems. Efforts to improve the Legendre PS methods by using either other polynomials [20–22] or point distributions [23,24] have not yet resulted in any rigorous framework for convergence of these approximations [24,25].
Type
Article
Description
The article of record as published may be found at http://dx.doi.org/10.2514/1.45154
Series/Report No
Department
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Work supported in part by the U.S. Air Force Office of Scientific Research under grant FA9550-09-1-0454 and by the Naval Postgraduate School under grant N00244-08-1-0033. Some research was supported in part by the U.S. Air Force Office of Scientific Research under grant FIATA0-90-4-3G001
Funder
Grant FIATA0-90-4-3G001; Grant N00244-08-1-0033; Grant FA9550-09-1-0454
Format
6 p.
Citation
Journal of Guidance, Control and Dynamics, v. 33, no.2 March-April 2010, pp. 623-628.
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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