On the Pseudospectral Convector Mapping Theorem for Nonlinear Optimal Control, IEEE (45th; 2006)
Author
Gong, Qi
Ross, I. Michael
Fahroo, Fariba
Kang, Wei
Date
2006-12-13Metadata
Show full item recordAbstract
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.
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
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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.Related items
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