$H_2$ optimal controllers with measurement feedback for discrete-time systems - flexibility in closed-loop pole placement

A. Saberi, P. Sannuti, A.A. Stoorvogel

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

Abstract

For a general H/sub 2/ optimal control problem, first all H/sub 2/ optimal measurement feedback controllers are characterized and parameterized. The H/sub 2/ optimal control problem with strictly proper controllers and the H/sub 2/ optimal control problem with proper controllers are essentially different and hence clearly delineated. Next, estimator based H/sub 2/ optimal controllers are characterized and parameterized. Also, systematic methods of designing them are presented. Since in general there exist many H/sub 2/ optimal measurement feedback controllers, utilizing such flexibility and freedom, one can place the closed-loop poles at more desirable locations while still preserving H/sub 2/ optimality. All the design algorithms developed here are easily computer implementable.
Original languageEnglish
Title of host publicationProceedings 35th IEEE Conference on Decision and Control (Kobe, Japan, December 11-13, 2006)
PublisherInstitute of Electrical and Electronics Engineers
Pages2330-2335
Number of pages6
ISBN (Print)0-7803-3590-2
DOIs
Publication statusPublished - 1996

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