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This note studies a class of discrete-time nonlinear systems which depend on a small parameter. Using the singular perturbation theory in a systematic way, we give a trajectory approximation result based on the decomposition of the model into reduced and boundary layer models. This decomposition is used to analyze optimal control via maximum principle of such systems. As a result, significant order reduction of optimal control problems is achieved
Published in:
Automatic Control, IEEE Transactions on
(Volume:46
,
Issue:
7
)
Date of Publication: Jul 2001
- Page(s):
- 1097 - 1101
- ISSN :
- 0018-9286
- INSPEC Accession Number:
- 6994786
- Digital Object Identifier :
- 10.1109/9.935063
- Product Type:
- Journals & Magazines
- Date of Current Version :
- 07 August 2002
- Issue Date :
- Jul 2001
- Sponsored by :
- IEEE Control Systems Society
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