H∞ control of two-time-scale systems

Hassan K. Khalil*, Fu-Chuang Chen

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations


H control of linear time-invariant singularly perturbed systems is considered. A sequential procedure is described to decompose the problem into slow and fast subproblems. The fast problem is solved first. Then the slow problem is solved under a constraint on the value of the compensator at infinity. A composite compensator is formed as the parallel connection of the fast compensator with the strictly proper part of the slow compensator. The asymptotic validity of the composite compensator is established.

Original languageEnglish
Title of host publicationProceedings of the American Control Conference
PublisherPubl by American Automatic Control Council
Number of pages2
ISBN (Print)0780302109
StatePublished - 1 Dec 1992
EventProceedings of the 1992 American Control Conference - Chicago, IL, USA
Duration: 24 Jun 199226 Jun 1992

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619


ConferenceProceedings of the 1992 American Control Conference
CityChicago, IL, USA


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