Direct transcription solution of optimal control problems with higher order state constraints: theory vs practice

Theoretical results from optimal control theory and numerical analysis play an important role in understanding and numerically solving optimal control problems with higher order state inequality constraints. However, the application of these theoretical results to numerical practice can sometimes be...

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Bibliographic Details
Published in:Optimization and engineering 2007-03, Vol.8 (1), p.1-19
Main Authors: Betts, J T, Campbell, S L, Engelsone, A
Format: Article
Language:English
Subjects:
Control theory
Numerical analysis
Optimal control
Studies
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Summary:Theoretical results from optimal control theory and numerical analysis play an important role in understanding and numerically solving optimal control problems with higher order state inequality constraints. However, the application of these theoretical results to numerical practice can sometimes be misleading. In this paper we examine a specific example which arose in the development of an industrial grade optimal control package that uses a direct transcription approach. This example illustrates several aspects of direct transcription codes that require a reinterpretation of the numerical and analytical theory.
ISSN:1389-4420
1573-2924
DOI:10.1007/s11081-007-9000-8