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Nonquadratic stabilization conditions for nonhomogeneous Markovian jump fuzzy systems with higher-level operation modes

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Abstract
This paper is concerned with the problem of designing a dissipative control for generalized nonhomogeneous Markovian jump fuzzy systems (MJFSs) that can cover both piecewise-homogeneous MJFSs and nonhomogeneous MJFSs through the use of dual modes, i.e., plant and higher-level modes. Based on a dual-mode-dependent fuzzy control law within a nonparallel distributed compensation (non-PDC) scheme, the nonquadratic stabilization conditions are first formulated in terms of multi-parameterized linear matrix inequalities (M-PLMIs), and then be transformed into a finite set of solvable LMIs without reducing M-PLMIs to PLMIs. Further, since the proposed relaxation technique can address the transition probabilities of plant and higher-level modes at once, the characteristics on mutual dependence between dual modes are fully incorporated into the nonquadratic stabilization conditions. Two illustrative examples are given to show the validity of the proposed approach.
Author(s)
김성현
Issued Date
2021
Type
Article
Keyword
Nonhomogeneous Markov processHigher-level modeMode-dependent fuzzy controlNonquadratic stabilization conditionRelaxation process.
DOI
10.1016/j.jfranklin.2020.12.014
URI
https://oak.ulsan.ac.kr/handle/2021.oak/9040
https://ulsan-primo.hosted.exlibrisgroup.com/primo-explore/fulldisplay?docid=TN_cdi_elsevier_sciencedirect_doi_10_1016_j_jfranklin_2020_12_014&context=PC&vid=ULSAN&lang=ko_KR&search_scope=default_scope&adaptor=primo_central_multiple_fe&tab=default_tab&query=any,contains,Nonquadratic%20stabilization%20conditions%20for%20nonhomogeneous%20Markovian%20jump%20fuzzy%20systems%20with%20higher-level%20operation%20modes&offset=0&pcAvailability=true
Publisher
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
Location
영국
Language
영어
ISSN
0016-0032
Citation Volume
358
Citation Number
2
Citation Start Page
1553
Citation End Page
1577
Appears in Collections:
Engineering > IT Convergence
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