Sensitivity shaping with degree constraint via convex optimization

Mir Shahrouz Takyar, Ali Nasiri Amini, Tryphon T. Georgiou

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

4 Scopus citations


We present an approach for shaping closed-loop operators while keeping their Mcmillan degree bounded by the sum of unstable plant-poles and non-minimum phase plant-zeros. We make use of recent developments in analytic interpolation with degree constraint and we focus on the paradigm of sensitivity minimization. The sensitivity function can be obtained as the minimizer of a convex weighted-entropy functional. It is the choice of this weight that we formulate as a convex optimization problem in this paper.

Original languageEnglish (US)
Title of host publicationProceedings of the 2006 American Control Conference
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages4
ISBN (Print)1424402107, 9781424402106
StatePublished - Jan 1 2006
Event2006 American Control Conference - Minneapolis, MN, United States
Duration: Jun 14 2006Jun 16 2006

Publication series

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


Other2006 American Control Conference
Country/TerritoryUnited States
CityMinneapolis, MN


Dive into the research topics of 'Sensitivity shaping with degree constraint via convex optimization'. Together they form a unique fingerprint.

Cite this