Distributed mixed L2/h control synthesis for spatially invariant systems

Jin Dong, Seddik M. Djouadi

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

Abstract

It is well-known that h synthesis guarantees robust stability in the face of worst-case disturbance while L2 synthesis is more adapted to deal with transient performance. We consider a mixed design framework that can integrate optimal transient performance and robustness for discrete spatial invariant systems. The L2-norm corresponds to the spatial coordinate while the h corresponds to the time frequency. It is shown that the problem reduces to the sum of an infinite number of optimal h problem involving Youla parameters. These problems are solved by infinite number of Hankel operators. An illustrative example is provided.

Original languageEnglish
Title of host publication2017 American Control Conference, ACC 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1157-1162
Number of pages6
ISBN (Electronic)9781509059928
DOIs
StatePublished - Jun 29 2017
Event2017 American Control Conference, ACC 2017 - Seattle, United States
Duration: May 24 2017May 26 2017

Publication series

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

Conference

Conference2017 American Control Conference, ACC 2017
Country/TerritoryUnited States
CitySeattle
Period05/24/1705/26/17

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