A strictly bounded real lemma for singular Markovian jump systems

Chan Eun Park, In Seok Park, Poo Gyeon Park

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

Abstract

We proposes a new strictly bounded real lemma (BRL) for singular Markovian jump systems (SMJSs) in continuous time domain in terms of convex condition, i.e., linear matrix inequalities (LMIs). While the previous work has been done for SMJSs that do not have a path from disturbances to desired output, the proposed BRL covers SMJSs with disturbance-contaminated output by introducing additional free matrix variables. Since the proposed lemma represents LMI conditions which equal to strictly bounded realness, it can be used to obtaining the optimal optimal ℋ performance. We use a numerical example to verify the effectiveness of the proposed lemma.

Original languageEnglish
Title of host publication2019 IEEE 58th Conference on Decision and Control, CDC 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2858-2861
Number of pages4
ISBN (Electronic)9781728113982
DOIs
StatePublished - Dec 2019
Event58th IEEE Conference on Decision and Control, CDC 2019 - Nice, France
Duration: 11 Dec 201913 Dec 2019

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume2019-December
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference58th IEEE Conference on Decision and Control, CDC 2019
Country/TerritoryFrance
CityNice
Period11/12/1913/12/19

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