Mixed LMI/randomized methods for static output feedback control design

Denis Arzelier, Elena N. Gryazina, Dimitri Peaucelle, Boris T. Polyak

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

50 Citations (Scopus)

Abstract

This paper addresses the problem of stabilization of LTI systems via static output feedback (sof). The objective is not only to compute a stabilizing sof but rather to compute a discrete set of stabilizing sof. Two complementary mixed LMI/randomized algorithms are defined for this purpose. The main idea is to combine a particular relaxed LMI parametrization of stabilizing sof with high efficiency of Hit-and-Run method for generating random points in a given domain. Their respective relevance is analysed on several examples of the COMPl eib library which is intended to be the reference library for evaluating performance of reduced-order controller synthesis algorithms. Finally, the paper additionally provides an extensive evaluation of the different relevant instances of the COMPleib library.

Original languageEnglish
Title of host publicationProceedings of the 2010 American Control Conference, ACC 2010
PublisherIEEE Computer Society
Pages4683-4688
Number of pages6
ISBN (Print)9781424474264
DOIs
Publication statusPublished - 2010
Externally publishedYes

Publication series

NameProceedings of the 2010 American Control Conference, ACC 2010

Fingerprint

Dive into the research topics of 'Mixed LMI/randomized methods for static output feedback control design'. Together they form a unique fingerprint.

Cite this