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Asynchronous H-infinity observer-based control synthesis of nonhomogeneous Markovian jump systems with generalized incomplete transition rates

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Abstract
This paper deals with the problem of asynchronous H-infinity observer-based control for continuous-time nonhomogeneous Markovian jump systems with generalized incomplete transition rates. Different from other existing papers, the effects of both nonhomogeneity and asynchronism on observer-based control design are discussed in detail to address more realistic phenomena. Furthermore, to decouple the Lyapunov matrix from the control gain while improving the control performance, this paper proposes a state extension method as an alternative to the conventional separation method. Not only that, to derive a set of LMI-based stabilization conditions, this paper presents a less conservative relaxation technique that reduces its computational burden. Finally, two illustrative examples are provided to show the validity of the proposed method. (C) 2021 The Authors. Published by Elsevier Inc.
Author(s)
김성현웬 옥 호아이 언
Issued Date
2021
Type
Article
Keyword
Control systemsMarkov processesRelaxationStatistics
DOI
10.1016/j.amc.2021.126532
URI
https://oak.ulsan.ac.kr/handle/2021.oak/9091
https://ulsan-primo.hosted.exlibrisgroup.com/primo-explore/fulldisplay?docid=TN_cdi_gale_infotracacademiconefile_A674345326&context=PC&vid=ULSAN&lang=ko_KR&search_scope=default_scope&adaptor=primo_central_multiple_fe&tab=default_tab&query=any,contains,Asynchronous%20H-infinity%20observer-based%20control%20synthesis%20of%20nonhomogeneous%20Markovian%20jump%20systems%20with%20generalized%20incomplete%20transition%20rates&offset=0&pcAvailability=false
Publisher
APPLIED MATHEMATICS AND COMPUTATION
Location
미국
Language
영어
ISSN
0096-3003
Citation Volume
411
Citation Number
1
Citation Start Page
126532
Citation End Page
126532
Appears in Collections:
Engineering > IT Convergence
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