One-point feedback approach to distributed linear systems

Matei Kelemen; Yakar Kannai; Isaac Horowitz

doi:10.1080/00207178908559679

One-point feedback approach to distributed linear systems

Matei Kelemen
, Yakar Kannai
, Isaac Horowitz

Weizmann Institute of Science
University of California at Davis

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	969-980
Number of pages	12
Journal	International Journal of Control
Volume	49
Issue number	3
DOIs	https://doi.org/10.1080/00207178908559679
State	Published - Mar 1989
Externally published	Yes

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10.1080/00207178908559679

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One-point feedback approach to distributed linear systems

Abstract

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