Suboptimal control of singularly perturbed systems and periodic optimization

Research output: Chapter in Book/Report/Conference proceedingConference proceeding contribution

Abstract

A traditional approach to singularly perturbed optimal control problems is based on an approximation of these problems by some reduced problems. The reduced problems are obtained via the formal replacement of the fast variables by the states of equilibrium of the fast subsystems considered with frozen slow variables and controls. It is shown that such as approximation may not be valid, and that it is valid if and only if certain families of periodic optimization problems admit steady-state solutions. It is also shown how the solutions of these problems can be used to construct suboptimal controls for singularly perturbed problems when the approximation by the reduced problems is not possible.
Original languageEnglish
Title of host publicationProceedings of the 31st IEEE conference on decision and control
Place of PublicationPiscataway, NJ
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages3044-3049
Number of pages6
ISBN (Print)0780308727
DOIs
Publication statusPublished - 1992
Externally publishedYes
Event31ST IEEE CONF ON DECISION AND CONTROL - Tucson, United States
Duration: 16 Dec 199218 Dec 1992

Conference

Conference31ST IEEE CONF ON DECISION AND CONTROL
CountryUnited States
CityTucson
Period16/12/9218/12/92

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