KYP lemma for internally positive systems and a tractable class of distributed H-infinity control problems

Takashi Tanaka, Cédric Langbort

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

Abstract

We consider the KYP lemma for internally positive LTI systems and show that the H norm of such systems can be evaluated by checking the existence of a certain diagonal quadratic storage function. Once the existence of such a diagonal quadratic storage function is ensured, the problem of finding the optimal H controller among the class of structured static state feedback controllers attaining internal positivity of the closed loop system becomes convex and tractable.

Original languageEnglish (US)
Title of host publicationProceedings of the 2010 American Control Conference, ACC 2010
PublisherIEEE Computer Society
Pages6238-6243
Number of pages6
ISBN (Print)9781424474264
DOIs
StatePublished - Jan 1 2010

Publication series

NameProceedings of the 2010 American Control Conference, ACC 2010

ASJC Scopus subject areas

  • Control and Systems Engineering

Fingerprint Dive into the research topics of 'KYP lemma for internally positive systems and a tractable class of distributed H-infinity control problems'. Together they form a unique fingerprint.

Cite this