H2/H∞ Control for MJLS with Infinite Markov Chain

H2/H∞ Control for MJLS with Infinite Markov Chain

With the help of a stochastic bounded real lemma, we deal with finite horizon H2/H∞ control problem for discrete-time MJLS, whose Markov chain takes values in an infinite set. Besides, a unified control design for H2, H∞, and H2/H∞ is given.

Bibliographic Details
Main Authors: Ting Hou, Jie Wang, Yueying Liu, Xiao Shen
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2017/9038469
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spelling doaj-16e520a7e6d647e58568b20f46d3c2412020-11-25T00:58:52ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472017-01-01201710.1155/2017/90384699038469H2/H∞ Control for MJLS with Infinite Markov ChainTing Hou0Jie Wang1Yueying Liu2Xiao Shen3College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaState Key Laboratory of Mining Disaster Prevention and Control Co-Founded by Shandong Province and the Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao 266590, ChinaWith the help of a stochastic bounded real lemma, we deal with finite horizon H2/H∞ control problem for discrete-time MJLS, whose Markov chain takes values in an infinite set. Besides, a unified control design for H2, H∞, and H2/H∞ is given.http://dx.doi.org/10.1155/2017/9038469
collection DOAJ
language English
format Article
sources DOAJ
author Ting Hou
Jie Wang
Yueying Liu
Xiao Shen
spellingShingle Ting Hou
Jie Wang
Yueying Liu
Xiao Shen
H2/H∞ Control for MJLS with Infinite Markov Chain
Mathematical Problems in Engineering
author_facet Ting Hou
Jie Wang
Yueying Liu
Xiao Shen
author_sort Ting Hou
title H2/H∞ Control for MJLS with Infinite Markov Chain
title_short H2/H∞ Control for MJLS with Infinite Markov Chain
title_full H2/H∞ Control for MJLS with Infinite Markov Chain
title_fullStr H2/H∞ Control for MJLS with Infinite Markov Chain
title_full_unstemmed H2/H∞ Control for MJLS with Infinite Markov Chain
title_sort h2/h∞ control for mjls with infinite markov chain
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2017-01-01
description With the help of a stochastic bounded real lemma, we deal with finite horizon H2/H∞ control problem for discrete-time MJLS, whose Markov chain takes values in an infinite set. Besides, a unified control design for H2, H∞, and H2/H∞ is given.
url http://dx.doi.org/10.1155/2017/9038469
work_keys_str_mv AT tinghou h2hcontrolformjlswithinfinitemarkovchain
AT jiewang h2hcontrolformjlswithinfinitemarkovchain
AT yueyingliu h2hcontrolformjlswithinfinitemarkovchain
AT xiaoshen h2hcontrolformjlswithinfinitemarkovchain
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