On the Pseudospectral Convector Mapping Theorem for Nonlinear Optimal Control, IEEE (45th; 2006)
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Authors
Gong, Qi
Ross, I. Michael
Fahroo, Fariba
Kang, Wei
Subjects
Convergence , Differential equations , Feedback , Nonlinear equations , Nonlinear systems , Optimal control , Problem-solving , Software packages , Sufficient conditions , USA Councils
Advisors
Date of Issue
2006-12-13
Date
December 13-15, 2006
Publisher
IEEE
Language
Abstract
In recent years, a large number of nonlinear optimal control problems have been solved by pseudospectral (PS) methods. In an effort to better understand the PS approach to solving control problems, we present convergence results for problems with mixed state and control constraints. A set of sufficient conditions are proved under which the solution of the discretized optimal control problem converges to the continuous solution. Conditions for the convergence of the duals are described and illustrated. This leads to a clarification of covector mapping theorem and its connections to constraint qualifications.
Type
Conference Paper
Description
The article of record as published may be located at http://ieeexplore.ieee.org
Proceedings of 45th IEEE Conference on Decision and Control Page(s): 2679 - 2686, Dec.13-15, 2006
Proceedings of 45th IEEE Conference on Decision and Control Page(s): 2679 - 2686, Dec.13-15, 2006
Series/Report No
Department
Applied Mathematics
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Distribution Statement
Approved for public release; distribution is unlimited.
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.