One-point feedback approach to distributed linear systems

Matei Kelemen, Yakar Kannai, Isaac Horowitz

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

The disturbance attenuation problem is studied for linear (distributed) plants described by partial differential operators and by using one lumped- (i.e. acting at a single point) feedback loop. A result emphasizing the trade-off between stability and disturbance attenuation is proven. Also, the effect of the feedback loop location on disturbance attenuation is pointed out. Finally, a synthesis procedure is derived, valid also for plants having bounded uncertainty in the gain. The procedure is illustrated by two significant examples in a one-dimensional, bounded domain.

Original languageEnglish
Pages (from-to)969-980
Number of pages12
JournalInternational Journal of Control
Volume49
Issue number3
DOIs
StatePublished - Mar 1989
Externally publishedYes

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